Texas Instruments TI-83-Plus User Manual
Texas Instruments TI-83-Plus - Edition Manual
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- Texas Instruments TI-83-Plus | User Manual - Page 1
parentheses Creating... Tables Matrices Beyond the Basics Inferential statistics Programming More Information Sending and receiving Formulas Graphing a function Modes Lists Data and lists Split screen Archiving/Unarchiving Menu maps Troubleshooting Support and service © 2001-2003 Texas Instruments - Texas Instruments TI-83-Plus | User Manual - Page 2
price of this equipment. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. Windows is a registered trademark of Microsoft Corporation. Macintosh is a registered trademark of Apple Computer, Inc. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 3
frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference with radio communications. However, there is no modifications to this equipment not expressly approved by Texas Instruments may void your authority to operate the equipment. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 4
TI-83 Plus. All the instructions and examples in this guidebook also work for the TI-83 Plus. All the functions of the TI-83 Plus Silver Edition and the TI-83 Plus are the same. The two calculators differ only in available RAM memory and Flash application ROM memory. TI-83 Plus Operating the TI-83 - Texas Instruments TI-83-Plus | User Manual - Page 5
graphing features. Editing - Editing keys allow you to edit expressions and values. Advanced - Advanced function keys display menus that access the advanced functions. Scientific - Scientific calculator keys access the capabilities of a standard scientific calculator. TI-83 Plus Operating the TI-83 - Texas Instruments TI-83-Plus | User Manual - Page 6
TI-83 Plus Graphing Keys Editing Keys Advanced Function Keys Scientific Calculator Keys Colors may vary in actual product. TI-83 Plus Operating the TI-83 Plus Silver Edition 3 - Texas Instruments TI-83-Plus | User Manual - Page 7
the character, abbreviation, or word printed in yellow above the other keys becomes active for the next keystroke. For example, when you press y and then , the TEST menu is displayed. This guidebook describes this keystroke combination as y :. TI-83 Plus Operating the TI-83 Plus Silver Edition 4 - Texas Instruments TI-83-Plus | User Manual - Page 8
as ƒ [A]. The y key accesses the second function printed in yellow above each key. The ƒ key accesses the alpha function printed in green above each key. TI-83 Plus Operating the TI-83 Plus Silver Edition 5 - Texas Instruments TI-83-Plus | User Manual - Page 9
Down™ (APDé) had previously turned off the calculator, the TI-83 Plus will return exactly as you left it, including the display, cursor, and any error. • If the TI-83 Plus is turned off and you connect it to another calculator or personal computer, the TI-83 Plus will "wake up" when you complete the - Texas Instruments TI-83-Plus | User Manual - Page 10
Turning Off the Calculator To turn off the TI-83 Plus manually, press y M. • All settings and memory contents are retained by Constant MemoryTM. • Any error condition is cleared. Batteries The TI-83 Plus uses four AAA alkaline batteries and has a userreplaceable backup lithium battery (CR1616 or - Texas Instruments TI-83-Plus | User Manual - Page 11
. You may not be able to see the number if contrast is too light or too dark. Note: The TI-83 Plus has 40 contrast settings, so each number 0 through 9 represents four settings. The TI-83 Plus retains the contrast setting in memory when it is turned off. To adjust the contrast, follow these steps - Texas Instruments TI-83-Plus | User Manual - Page 12
losing any information in memory, follow the steps in Appendix B. Generally, the calculator will continue to operate for one or two weeks after the low-battery message is first displayed. After this period, the TI-83 Plus will turn off automatically and the unit will not operate. Batteries must be - Texas Instruments TI-83-Plus | User Manual - Page 13
both text and graphs. Chapter 3 describes graphs. Chapter 9 describes how the TI-83 Plus can display a horizontally or vertically split screen to show graphs and text simultaneously. Home Screen The home screen is the primary screen of the TI-83 Plus. On this screen, enter instructions to execute - Texas Instruments TI-83-Plus | User Manual - Page 14
display the answer. Entry Answer Returning to the Home Screen To return to the home screen from any other screen, press y 5. Busy Indicator When the TI-83 Plus is calculating or graphing, a vertical moving line is displayed as a busy indicator in the top-right corner of the screen. When you pause - Texas Instruments TI-83-Plus | User Manual - Page 15
during an insertion, the cursor becomes an underlined A (A). If you press y during an insertion, the underlined cursor becomes an underlined # (#). Graphs and editors sometimes display additional cursors, which are described in other chapters. TI-83 Plus Operating the TI-83 Plus Silver Edition 12 - Texas Instruments TI-83-Plus | User Manual - Page 16
elements. An expression evaluates to a single answer. On the TI-83 Plus, you enter an expression in the same order as you would write it on paper. For example, pR2 is an expression. You can use an expression on the home screen to calculate an answer. In most places where a value is required, you - Texas Instruments TI-83-Plus | User Manual - Page 17
If you enter LOG, the TI-83 Plus interprets the entry as implied multiplication of the variables L, O, and G. Calculate 3.76 ÷ (L7.9 + ‡5) + 2 log 45. 3 Ë 76 ¥ £ Ì 7 Ë 9 Ã y C 5 ¤ ¤ Ã 2 « 45 ¤ Í Multiple Entries on a Line To enter two or more expressions or instructions on a line, separate them with - Texas Instruments TI-83-Plus | User Manual - Page 18
and log( are the functions in the example on the previous page. In general, the first letter of each function is lowercase on the TI-83 Plus. Most functions take at least one argument, as indicated by an open parenthesis ( ( ) following the name. For example, sin( requires one argument, sin(value - Texas Instruments TI-83-Plus | User Manual - Page 19
location of the interruption, select 2:Goto. When you interrupt a graph, a partial graph is displayed. • To return to the home screen, press ' or any nongraphing key. • To restart graphing, press a graphing key or select a graphing instruction. TI-83 Plus Operating the TI-83 Plus Silver Edition 16 - Texas Instruments TI-83-Plus | User Manual - Page 20
an expression. Moves the cursor to the end of an expression. Evaluates an expression or executes an instruction. On a line with text on the home screen, clears the current line. On a blank ; to end insertion, press y 6 or press |, }, ~, or †. TI-83 Plus Operating the TI-83 Plus Silver Edition 17 - Texas Instruments TI-83-Plus | User Manual - Page 21
a program, alpha-lock is set automatically. Pastes an X in Func mode, a T in Par mode, a q in Pol mode, or an n in Seq mode with one keystroke. TI-83 Plus Operating the TI-83 Plus Silver Edition 18 - Texas Instruments TI-83-Plus | User Manual - Page 22
Setting Modes Checking Mode Settings Mode settings control how the TI-83 Plus displays and interprets numbers and graphs. Mode settings are retained by the Constant Memory feature when the TI-83 Plus is turned off. All numbers, including elements of matrices and lists, are displayed according to - Texas Instruments TI-83-Plus | User Manual - Page 23
the instruction is pasted to the cursor location. Normal, Sci, Eng Notation modes only affect the way an answer is displayed on the home screen. Numeric answers can be displayed with up to 10 digits and a two-digit exponent. You can enter a number in any format. TI-83 Plus Operating the TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 24
12.34567E3. Note: If you select Normal notation, but the answer cannot display in 10 digits (or the absolute value is less than .001), the TI-83 Plus expresses the answer in scientific notation. Float, 0123456789 Float (floating) decimal mode displays up to 10 digits - Texas Instruments TI-83-Plus | User Manual - Page 25
Tangent( DRAW instruction equation of the line, x, and dy/dx values (Chapter 8) • Results of CALCULATE operations (Chapters 3, 4, 5, and 6) • The regression equation stored after the execution of a regression model (Chapter 12) Radian, Degree Angle modes control how the TI-83 Plus interprets angle - Texas Instruments TI-83-Plus | User Manual - Page 26
Seq (sequence) graphing mode plots sequences (Chapter 6). Connected, Dot Connected plotting mode draws a line connecting each point calculated for the selected functions. Dot plotting mode plots only the calculated points of the selected functions. TI-83 Plus Operating the TI-83 Plus Silver Edition - Texas Instruments TI-83-Plus | User Manual - Page 27
value of X and then evaluates and plots them for the next value of X. Note: Regardless of which graphing mode is selected, the TI-83 Plus will sequentially graph all stat plots before it graphs any functions. Real, a+bi, re^qi Real mode does not display complex results unless complex numbers are - Texas Instruments TI-83-Plus | User Manual - Page 28
the top half of the screen; it displays the home screen or an editor on the bottom half (Chapter 9). • G.T (graph-table) mode displays the current graph on the left half of the screen; it displays the table screen on the right half (Chapter 9). TI-83 Plus Operating the TI-83 Plus Silver Edition 25 - Texas Instruments TI-83-Plus | User Manual - Page 29
can enter and use several types of data, including real and complex numbers, matrices, lists, functions, stat plots, graph databases, graph pictures, and strings. The TI-83 Plus uses assigned names for variables and other items saved in memory. For lists, you also can create your own five-character - Texas Instruments TI-83-Plus | User Manual - Page 30
Variable Type Graph pictures Strings Apps AppVars Groups System variables Names Pic1, Pic2, ... , Pic9, Pic0 Str1, Str2, ... , Str9, • From the home screen, a program, or an editor, you can store a value to a matrix element or a list element. TI-83 Plus Operating the TI-83 Plus Silver Edition 27 - Texas Instruments TI-83-Plus | User Manual - Page 31
• You can use DRAW STO menu items to store and recall graph databases and pictures (Chapter 8). • Although most variables can be archived, system variables including r, t, x, y, unless you do so through the application which created them. TI-83 Plus Operating the TI-83 Plus Silver Edition 28 - Texas Instruments TI-83-Plus | User Manual - Page 32
variable to which you want to store the value. 4. Press Í. If you entered an expression, it is evaluated. The value is stored to the variable. TI-83 Plus Operating the TI-83 Plus Silver Edition 29 - Texas Instruments TI-83-Plus | User Manual - Page 33
it and paste the name L1 to the home screen, you won't be able to see its contents or edit it until they are unarchived. . TI-83 Plus Operating the TI-83 Plus Silver Edition 30 - Texas Instruments TI-83-Plus | User Manual - Page 34
the type and then the name of the variable or function. • Press |, and then select the name of the program (in the program editor only). TI-83 Plus Operating the TI-83 Plus Silver Edition 31 - Texas Instruments TI-83-Plus | User Manual - Page 35
the cursor was located before you began these steps. Note: You can edit the characters pasted to the expression without affecting the value in memory. TI-83 Plus Operating the TI-83 Plus Silver Edition 32 - Texas Instruments TI-83-Plus | User Manual - Page 36
Entry) When you press Í on the home screen to evaluate an expression or execute an instruction, the expression or instruction is placed in a storage area called ENTRY (last entry). When you turn off the TI-83 Plus, ENTRY is retained in memory. To recall ENTRY, press y [. The last entry is pasted to - Texas Instruments TI-83-Plus | User Manual - Page 37
Accessing a Previous Entry The TI-83 Plus retains as many previous entries as possible in ENTRY, up to a capacity of 128 bytes. To scroll those entries, if you chose to edit it), you can execute the entry. To execute the last entry, press Í. TI-83 Plus Operating the TI-83 Plus Silver Edition 34 - Texas Instruments TI-83-Plus | User Manual - Page 38
separated by colons are stored in ENTRY. When you press y [, all the expressions and instructions separated by colons are pasted to the current cursor location. You can edit any of the entries, and then execute all of them when you press Í. TI-83 Plus Operating the TI-83 Plus Silver Edition 35 - Texas Instruments TI-83-Plus | User Manual - Page 39
in the ENTRY storage area. Using Ans in an Expression When an expression is evaluated successfully from the home screen or from a program, the TI-83 Plus stores the answer to a storage area called Ans (last answer). Ans may be a real or complex number, a list, a matrix, or a string. When you turn - Texas Instruments TI-83-Plus | User Manual - Page 40
y Z to copy the variable name Ans to the cursor location. When the expression is evaluated, the TI-83 Plus uses the value of Ans in the calculation. Calculate the area of a garden plot 1.7 meters by 4.2 meters. Then calculate the yield per square meter if the plot produces a total of 147 tomatoes - Texas Instruments TI-83-Plus | User Manual - Page 41
you evaluate another expression. Calculate the area of a circle of radius 5 meters. Next, calculate the volume of a cylinder of radius 5 meters and height 3.3 meters, and then store the result in the variable V. y B5 ¡ Í ¯ 3 Ë 3 Í ¿ ƒ V Í TI-83 Plus Operating the TI-83 Plus Silver Edition 38 - Texas Instruments TI-83-Plus | User Manual - Page 42
TI-83 Plus Menus Using a TI-83 Plus Menu You can access most TI-83 Plus operations using menus. When you press a key or key combination to display a menu, one to the left of a menu item, that item is stored in user data archive (Chapter 18). TI-83 Plus Operating the TI-83 Plus Silver Edition 39 - Texas Instruments TI-83-Plus | User Manual - Page 43
with the cursor on the first item. Note: The Menu Map in Appendix A shows each menu, each operation under each menu, and the key or key combination you press to display each menu. Displaying a Menu While using your TI-83 Plus, you often will need to access items from its menus. When you press - Texas Instruments TI-83-Plus | User Manual - Page 44
time, press ƒ †. To page up six menu items at a time, press ƒ }. The green arrows on the calculator, between † and }, are the page-down and page-up symbols. To wrap to the last menu item directly from an item from a menu in either of two ways. TI-83 Plus Operating the TI-83 Plus Silver Edition 41 - Texas Instruments TI-83-Plus | User Manual - Page 45
cursor to the item you want, and then press Í. After you select an item from a menu, the TI-83 Plus typically displays the previous screen. Note: On the LIST NAMES, PRGM EXEC, and PRGM EDIT menus, only to the next item. Calculate 3‡27 27 ¤ Í TI-83 Plus Operating the TI-83 Plus Silver Edition 42 - Texas Instruments TI-83-Plus | User Manual - Page 46
the previous screen. • Press a key or key combination for a different menu, such as or y 9. • Press a key or key combination for a different screen, such as o or y 0. TI-83 Plus Operating the TI-83 Plus Silver Edition 43 - Texas Instruments TI-83-Plus | User Manual - Page 47
VARS menu, press . All VARS menu items display secondary menus, which show the names of the system variables. 1:Window, 2:Zoom, and 5:Statistics Graph database variables Picture variables XY, G, EQ, TEST, and PTS variables TABLE variables String variables TI-83 Plus Operating the TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 48
Y.VARS menu. 2. Select the type of variable, such as 2:Zoom from the VARS menu or 3:Polar from the VARS Y.VARS menu. A secondary menu is displayed. TI-83 Plus Operating the TI-83 Plus Silver Edition 45 - Texas Instruments TI-83-Plus | User Manual - Page 49
3. If you selected 1:Window, 2:Zoom, or 5:Statistics from the VARS menu, you can press ~ or | to display other secondary menus. 4. Select a variable name from the menu. It is pasted to the cursor location. TI-83 Plus Operating the TI-83 Plus Silver Edition 46 - Texas Instruments TI-83-Plus | User Manual - Page 50
Order of Evaluation The Equation Operating System (EOS) defines the order in which functions in expressions are entered and evaluated on the TI-83 Plus. EOS lets you enter numbers and functions in a simple, straightforward sequence. EOS evaluates the functions in an expression in this order. Order - Texas Instruments TI-83-Plus | User Manual - Page 51
as implied multiplication. Note: TI-83 Plus implied multiplication rules, although like theTI.83, differ from those of the TI.82. For example, the TI-83 Plus evaluates 1à2X as (1à2)äX, while the TI.82 evaluates 1à2X as 1/(2äX) (Chapter 2). Parentheses All calculations inside a pair of parentheses - Texas Instruments TI-83-Plus | User Manual - Page 52
a value for which to solve the Y= function. Negation To enter a negative number, use the negation key. Press Ì and then enter the number. On the TI-83 Plus, negation is in the third level in the EOS hierarchy. Functions in the first level, such as squaring, are evaluated before negation. For example - Texas Instruments TI-83-Plus | User Manual - Page 53
the TI-83 Plus Flash - Electronic Upgradability The TI-83 Plus uses Flash technology, which lets you upgrade to future software versions without buying a new calculator. For details, refer to: Chapter 19 As new functionality becomes available, you can electronically upgrade your TI-83 Plus from - Texas Instruments TI-83-Plus | User Manual - Page 54
be stored on a computer for later use or linked unit-to-unit. For details, refer to: Chapter 18 Archiving You can store variables in the TI-83 Plus user data archive, a protected area of memory separate from RAM. The user data archive lets you: For details, refer to: Chapter 18 • Store data - Texas Instruments TI-83-Plus | User Manual - Page 55
and Calculator-Based Rangeré (CBRé) The TI-83 Plus comes with the CBL/CBR application already installed. When coupled with the (optional) CBL 2/CBL or CBR accessories, you can use the TI-83 Plus to on CBL 2/CBL and CBR in their user manuals. TI-83 Plus Operating the TI-83 Plus Silver Edition 52 - Texas Instruments TI-83-Plus | User Manual - Page 56
and capabilities of the TI-83 Plus in greater detail. Graphing You can store, graph, and analyze up to 10 functions, up to six parametric functions, up to six polar functions, and up to three sequences. You can use DRAW instructions to annotate graphs. For graphing details, refer to: Chapters - Texas Instruments TI-83-Plus | User Manual - Page 57
split the screen vertically to display a graph and its table simultaneously. Matrices You can enter and save up to 10 matrices and perform standard matrix operations on them. For details, refer to: Chapter 9 For details, refer to: Chapter 10 TI-83 Plus Operating the TI-83 Plus Silver Edition 54 - Texas Instruments TI-83-Plus | User Manual - Page 58
can use lists to evaluate expressions at multiple values simultaneously and to graph a family of curves. For details, refer to: Chapter 11 Statistics hypothesis test results graphically or numerically. For details, refer to: Chapter 13 TI-83 Plus Operating the TI-83 Plus Silver Edition 55 - Texas Instruments TI-83-Plus | User Manual - Page 59
financial instruments such calculator. Documentation for TI Flash applications is on the TI Resource CD. Visit education.ti.com/calc/guides for additional Flash application guidebooks. CATALOG The CATALOG is a convenient, alphabetical list of all functions and instructions on the TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 60
extensive control and input/output instructions. Chapter 16 Archiving Archiving TI-83 Plus has a port to connect and communicate with another TI-83 Plus, a TI-83 Plus, a TI.83, a TI-82, a TI-73, CBL 2/CBL, or a CBR System. For details, refer to: Chapter 19 TI-83 Plus Operating the TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 61
the TI-83 Plus to a personal computer. As future software upgrades become available on the TI web site, you can download the software to your PC and then use the TI Connect or TI-GRAPH LINK software and a TI-GRAPH LINK cable to upgrade your TI-83 Plus. TI-83 Plus Operating the TI-83 Plus Silver - Texas Instruments TI-83-Plus | User Manual - Page 62
Error Conditions Diagnosing an Error The TI-83 Plus detects errors while performing these tasks. • Evaluating an expression • Executing an instruction • Plotting a graph • Storing a value When the TI-83 Plus detects an error, it returns an error message as a menu title, such as ERR:SYNTAX or ERR: - Texas Instruments TI-83-Plus | User Manual - Page 63
displayed with the cursor at or near the error location. 3. Determine the error. If you cannot recognize the error, refer to Appendix B. 4. Correct the expression. TI-83 Plus Operating the TI-83 Plus Silver Edition 60 - Texas Instruments TI-83-Plus | User Manual - Page 64
to enter the number of coin flips. Press ¢. Press Ë 5 to enter the probability of heads. Press ¢. Press 40 to enter the number of simulations. Press ¤. TI-83 Plus Math, Angle, and Test Operations 61 - Texas Instruments TI-83-Plus | User Manual - Page 65
for another activity, such as plotting a histogram (Chapter 12). Note: Since randBin( generates random numbers, your list elements may differ from those in the example. TI-83 Plus Math, Angle, and Test Operations 62 - Texas Instruments TI-83-Plus | User Manual - Page 66
Math Operations Using Lists with Math Operations Math operations that are valid for lists return a list calculated element by element. If you use two lists in the same expression, they must be mode returns L.9880316241; in Degree mode it returns .5. TI-83 Plus Math, Angle, and Test Operations 63 - Texas Instruments TI-83-Plus | User Manual - Page 67
) L1 (Inverse) You can use L1 (inverse, œ) with real and complex numbers, expressions, lists, and matrices. The multiplicative inverse is equivalent to the reciprocal, 1àx. valueL1 TI-83 Plus Math, Angle, and Test Operations 64 - Texas Instruments TI-83-Plus | User Manual - Page 68
e^( with real or complex numbers, expressions, and lists. e^(power) e (Constant) e (constant, y [e]) is stored as a constant on the TI-83 Plus. Press y [e] to copy e to the cursor location. In calculations, the TI-83 Plus uses 2.718281828459 for e. TI-83 Plus Math, Angle, and Test Operations 65 - Texas Instruments TI-83-Plus | User Manual - Page 69
LA)2. Note: On the TI-83 Plus, the negation symbol (M) is shorter and higher than the subtraction sign (N), which is displayed when you press ¹. p (Pi) p (Pi, y B) is stored as a constant in the TI-83 Plus. In calculations, the TI-83 Plus uses 3.1415926535898 for p. TI-83 Plus Math, Angle, and Test - Texas Instruments TI-83-Plus | User Manual - Page 70
fraction. 2: 4Dec 3: 3 4: 3‡( 5: x‡ Displays the answer as a decimal. Calculates the cube. Calculates the cube root. Calculates the xth root. 6: fMin( Finds the minimum of a function. 7: fMax( Finds the . You can only use 4Frac following value. TI-83 Plus Math, Angle, and Test Operations 67 - Texas Instruments TI-83-Plus | User Manual - Page 71
, lists, and square matrices. value3 3‡( (cube root) returns the cube root of value. You can use 3‡( with real or complex numbers, expressions, and lists. 3‡(value) TI-83 Plus Math, Angle, and Test Operations 68 - Texas Instruments TI-83-Plus | User Manual - Page 72
,lower,upper[,tolerance]) fMax(expression,variable,lower,upper[,tolerance]) Note: In this guidebook, optional arguments and the commas that accompany them are enclosed in brackets ([ ]). TI-83 Plus Math, Angle, and Test Operations 69 - Texas Instruments TI-83-Plus | User Manual - Page 73
(x −ε) 2ε As H becomes smaller, the approximation usually becomes more accurate. You can use nDeriv( once in expression. Because of the method used to calculate nDeriv(, the TI-83 Plus can return a false derivative value at a nondifferentiable point. TI-83 Plus Math, Angle, and Test Operations 70 - Texas Instruments TI-83-Plus | User Manual - Page 74
1âL5). fnInt( is valid only for real numbers. fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of integration graphs (when fnInt( is used in a Y= equation), increase the value of the Xres window variable before you press s. TI-83 Plus Math, Angle, and Test Operations 71 - Texas Instruments TI-83-Plus | User Manual - Page 75
eqn is empty, follow these steps. 1. Select 0:Solver from the MATH menu to display the equation editor. 2. Enter the expression in any of three ways. TI-83 Plus Math, Angle, and Test Operations 72 - Texas Instruments TI-83-Plus | User Manual - Page 76
to the listed variables also are displayed. • The default lower and upper bounds appear in the last line of the editor (bound={L1å99,1å99}). TI-83 Plus Math, Angle, and Test Operations 73 - Texas Instruments TI-83-Plus | User Manual - Page 77
Y1 or r6, and then reference the variables in the equation. The interactive solver editor displays all variables of all Y= functions referenced in the equation. TI-83 Plus Math, Angle, and Test Operations 74 - Texas Instruments TI-83-Plus | User Manual - Page 78
variable for which you are solving. This is optional, but it may help find the solution more quickly. Also, for equations with multiple roots, the TI-83 Plus will attempt to display the solution that is closest to your guess - Texas Instruments TI-83-Plus | User Manual - Page 79
guess is calculated as (upper+2 lower). 4. Edit bound={lower,upper}. lower and upper are the bounds between which the TI-83 Plus searches for for which you solved and indicates that the equation is balanced. An ellipsis shows that the value continues beyond the screen. Note: When a number continues - Texas Instruments TI-83-Plus | User Manual - Page 80
squares next to the previous solution and leftNrt=diff disappear. Move the cursor to the variable for which you now want to solve and press ƒ \. TI-83 Plus Math, Angle, and Test Operations 77 - Texas Instruments TI-83-Plus | User Manual - Page 81
Controlling the Solution for Solver or solve( The TI-83 Plus solves equations through an iterative process. To control that process, enter bounds that are except variable, before expression is evaluated. lower and upper must be entered in list format. TI-83 Plus Math, Angle, and Test Operations 78 - Texas Instruments TI-83-Plus | User Manual - Page 82
the absolute value of real or complex (modulus) numbers, expressions, lists, and matrices. abs(value) Note: abs( is also available on the MATH CPX menu. TI-83 Plus Math, Angle, and Test Operations 79 - Texas Instruments TI-83-Plus | User Manual - Page 83
, lists, and matrices. iPart(value) fPart( (fractional part) returns the fractional part or parts of real or complex numbers, expressions, lists, and matrices. fPart(value) TI-83 Plus Math, Angle, and Test Operations 80 - Texas Instruments TI-83-Plus | User Manual - Page 84
, min( returns a list of the smaller of each pair of elements. If list and value are compared, min( compares each element in list with value. TI-83 Plus Math, Angle, and Test Operations 81 - Texas Instruments TI-83-Plus | User Manual - Page 85
of the gcd of each pair of elements. If list and value are specified, gcd( finds the gcd of each element in list and value. TI-83 Plus Math, Angle, and Test Operations 82 - Texas Instruments TI-83-Plus | User Manual - Page 86
lcm(valueA,valueB) lcm(listA,listB) lcm(list,value) gcd(valueA,valueB) gcd(listA,listB) gcd(list,value) TI-83 Plus Math, Angle, and Test Operations 83 - Texas Instruments TI-83-Plus | User Manual - Page 87
the two modes. • a+bi (rectangular-complex mode) • re^qi (polar-complex mode) On the TI-83 Plus, complex numbers can be stored to variables. Also, complex numbers are valid list elements. In Real mode an error; in a+bi mode ln(L1) returns an answer. TI-83 Plus Math, Angle, and Test Operations 84 - Texas Instruments TI-83-Plus | User Manual - Page 88
are evaluated when the command is executed. Note about Radian Versus Degree Mode Radian mode is recommended for complex number calculations. Internally, the TI-83 Plus converts all entered trigonometric values to radians, but it does not convert values for exponential, logarithmic, or hyperbolic - Texas Instruments TI-83-Plus | User Manual - Page 89
or polar form, as specified by the mode setting or by a display conversion instruction. In the example below, polar-complex (re^qi) and Radian modes are set ), press à or ¹, enter the value of b (imaginary component), and press y V (constant). TI-83 Plus Math, Angle, and Test Operations 86 - Texas Instruments TI-83-Plus | User Manual - Page 90
a complex number in polar form, enter the value of r (magnitude), press y J (exponential function), enter the value of q (angle), press y V (constant), and then press ¤. magnitudee^(anglei) TI-83 Plus Math, Angle, and Test Operations 87 - Texas Instruments TI-83-Plus | User Manual - Page 91
of a complex number or list of complex numbers. conj(a+bi) returns aNbi in a+bi mode. conj(re^(qi)) returns re^(Lqi) in re^qi mode. TI-83 Plus Math, Angle, and Test Operations 88 - Texas Instruments TI-83-Plus | User Manual - Page 92
(q). imag( imag( (imaginary part) returns the imaginary (nonreal) part of a complex number or list of complex numbers. imag(a+bi) returns b. imag(re^(qi)) returns räsin(q). TI-83 Plus Math, Angle, and Test Operations 89 - Texas Instruments TI-83-Plus | User Manual - Page 93
of a complex number or list of complex numbers, calculated as tanL1 (b/a), where b is the imaginary part and a is the real part. The calculation is adjusted by +p in the second quadrant or (a+bi) returns (a2+b2) . abs(re^(qi)) returns r (magnitude). TI-83 Plus Math, Angle, and Test Operations 90 - Texas Instruments TI-83-Plus | User Manual - Page 94
form. It is valid only at the end of an expression. It is not valid if the result is real. complex result8Polar returns re^(qi). TI-83 Plus Math, Angle, and Test Operations 91 - Texas Instruments TI-83-Plus | User Manual - Page 95
[(numtrials)] Tip: To generate random numbers beyond the range of 0 to 1, you can include rand in an expression. For example, rand5 generates a random number > 0 and < 5. TI-83 Plus Math, Angle, and Test Operations 92 - Texas Instruments TI-83-Plus | User Manual - Page 96
With each rand execution, the TI-83 Plus generates the same randomnumber sequence for a given seed value. The TI-83 Plus factory-set seed value for rand is 0. To generate a different random-number sequence, store any nonzero seed value to rand. To restore the factoryset seed - Texas Instruments TI-83-Plus | User Manual - Page 97
is used to complete the calculation. Hence: n!=nä(nN1)ä(nN2)ä ... ä2ä1, if n is an integer ,0 n!= nä(nN1)ä(nN2)ä ... ä1à2ä‡p, if n+1à2 is an integer ,0 n! is an error, if neither n nor n+1à2 is an integer ,0. (The variable n equals value in the syntax description above.) TI-83 Plus Math, Angle, and - Texas Instruments TI-83-Plus | User Manual - Page 98
the interval [mN3(s), m+3(s)]. To generate a list of random numbers, specify an integer > 1 for numtrials (number of trials); if not specified, the default is 1. randNorm(m,s[,numtrials]) TI-83 Plus Math, Angle, and Test Operations 95 - Texas Instruments TI-83-Plus | User Manual - Page 99
of simulations); if not specified, the default is 1. randBin(numtrials,prob[,numsimulations]) Note: The seed value stored to rand also affects randInt(, randNorm(, and randBin( instructions. TI-83 Plus Math, Angle, and Test Operations 96 - Texas Instruments TI-83-Plus | User Manual - Page 100
Menu To display the ANGLE menu, press y [ANGLE]. The ANGLE menu displays angle indicators and instructions. The Radian/Degree mode setting affects the TI-83 Plus's interpretation of ANGLE menu entries. ANGLE 1: ¡ 2: ' 3: r 4: 8DMS 5: R8Pr( 6: R8Pq( 7: P8Rx( 8: P8Ry( Degree notation DMS minute - Texas Instruments TI-83-Plus | User Manual - Page 101
For example, enter for 30 degrees, 1 minute, 23 seconds. If the angle mode is not set to Degree, you must use ¡ so that the TI-83 Plus can interpret the argument as degrees, minutes, and seconds. Degree mode Radian mode ¡ (Degree) ¡ (degree) designates an angle or list of angles as degrees, - Texas Instruments TI-83-Plus | User Manual - Page 102
mode setting must be Degree for answer to be interpreted as degrees, minutes, and seconds. 8DMS is valid only at the end of a line. answer8DMS TI-83 Plus Math, Angle, and Test Operations 99 - Texas Instruments TI-83-Plus | User Manual - Page 103
to rectangular coordinates and returns x. P8Ry( converts polar coordinates to rectangular coordinates and returns y. r and q can be lists. P8Rx(r,q), P8Ry(r,q) Note: Radian mode is set. TI-83 Plus Math, Angle, and Test Operations 100 - Texas Instruments TI-83-Plus | User Manual - Page 104
. If valueA and valueB are matrices, both must have the same dimensions. Relational operators are often used in programs to control program flow and in graphing to control the graph of a function over specific values. TI-83 Plus Math, Angle, and Test Operations 101 - Texas Instruments TI-83-Plus | User Manual - Page 105
valueAvalueB Using Tests Relational operators are evaluated after mathematical functions according to EOS rules (Chapter 1). • The expression 2+2=2+3 returns 0. The TI-83 Plus performs the addition first because of EOS rules, and then it compares 4 to 5. • The expression 2+(2=2)+3 returns 6. The - Texas Instruments TI-83-Plus | User Manual - Page 106
Boolean Operators Boolean operators are often used in programs to control program flow and in graphing to control the graph of the function over specific values. Values are interpreted as zero (false) or nonzero be real numbers, expressions, or lists. TI-83 Plus Math, Angle, and Test Operations 103 - Texas Instruments TI-83-Plus | User Manual - Page 107
value (which can be an expression) is 0. not(value) Using Boolean Operations Boolean logic is often used with relational tests. In the following program, the instructions store 4 into C. TI-83 Plus Math, Angle, and Test Operations 104 - Texas Instruments TI-83-Plus | User Manual - Page 108
On the TI-83 Plus, you can define one function in terms of another. To define Y2=LY1, press Ì to enter the negation sign. Press ~ to display the VARS Y.VARS menu. Then press Í to select 1:Function. The FUNCTION secondary menu is displayed. Press 1 to select 1:Y1. TI-83 Plus Function Graphing 105 - Texas Instruments TI-83-Plus | User Manual - Page 109
6:ZStandard. This is a quick way to reset the window variables to the standard values. It also graphs the functions; you do not need to press s. Notice that the functions appear as an ellipse in , press p and notice the new values for Xmin, Xmax, Ymin, and Ymax. TI-83 Plus Function Graphing 106 - Texas Instruments TI-83-Plus | User Manual - Page 110
, but the steps shown here are similar for each TI-83 Plus graphing mode. Chapters 4, 5, and 6 describe aspects that are unique to parametric graphing, polar graphing, and sequence graphing. Defining a Graph To define a graph in any graphing mode, follow these steps. Some steps are not always - Texas Instruments TI-83-Plus | User Manual - Page 111
to display it. Explore the behavior of the function or functions using the TI-83 Plus tools described in this chapter. Saving a Graph for Later Use You can store the elements that define the current graph to any of 10 graph database variables (GDB1 through GDB9, and GDB0; Chapter 8). To recreate the - Texas Instruments TI-83-Plus | User Manual - Page 112
. The TI-83 Plus has four graphing modes. • Func (function graphing) • Par (parametric graphing; Chapter 4) • Pol (polar graphing; Chapter 5) • Seq (sequence graphing; Chapter 6) Other mode settings affect graphing results. Chapter 1 describes each mode setting. TI-83 Plus Function Graphing 109 - Texas Instruments TI-83-Plus | User Manual - Page 113
• Connected or Dot plotting mode affects plotting of selected functions. • Sequential or Simul graphing-order mode affects function plotting when more than one function is selected. Setting Modes from location. The mode is changed when the program is executed. TI-83 Plus Function Graphing 110 - Texas Instruments TI-83-Plus | User Manual - Page 114
o. You can store up to 10 functions to the function variables Y1 through Y9, and Y0. You can graph one or more defined functions at once. In this example, functions Y1 and Y2 are defined and selected. press '. 3. Enter or edit the expression to define the function. TI-83 Plus Function Graphing 111 - Texas Instruments TI-83-Plus | User Manual - Page 115
on a blank line and follow these steps. 1. Press ƒ [ã], enter the expression, and then press ƒ [ã] again. 2. Press ¿. 3. Press ~ 1 to select 1:Function from the VARS Y.VARS menu. TI-83 Plus Function Graphing 112 - Texas Instruments TI-83-Plus | User Manual - Page 116
. 5. Press Í to complete the instruction. "expression"!Yn When the instruction is executed, the TI-83 Plus stores the expression to the designated variable Yn, selects the function, and displays the message Done. Evaluating Y= Functions in Expressions You can calculate the value of a Y= function Yn - Texas Instruments TI-83-Plus | User Manual - Page 117
You can select and deselect (turn on and turn off) a function in the Y= editor. A function is selected when the = sign is highlighted. The TI-83 Plus graphs only the selected functions. You can select any or all functions Y1 through Y9, and Y0. To select or deselect a function in the Y= editor - Texas Instruments TI-83-Plus | User Manual - Page 118
, begin on a blank line and follow these steps. 1. Press ~ to display the VARS Y.VARS menu. 2. Select 4:On/Off to display the ON/OFF secondary menu. TI-83 Plus Function Graphing 115 - Texas Instruments TI-83-Plus | User Manual - Page 119
#, . . .,function n] 5. Press Í. When the instruction is executed, the status of each function in the current mode is set and Done is displayed. For example, in Func mode, FnOff :FnOn 1,3 turns off all functions in the Y= editor, and then turns on Y1 and Y3. TI-83 Plus Function Graphing 116 - Texas Instruments TI-83-Plus | User Manual - Page 120
the leading edge of the graph without drawing a path A small dot represents each plotted point; this is the default in Dot mode Note: Some graph styles are not available in all graphing modes. Chapters 4, 5, and 6 list the styles for Par, Pol, and Seq modes. TI-83 Plus Function Graphing 117 - Texas Instruments TI-83-Plus | User Manual - Page 121
The insert cursor is displayed. (Steps 2 and 3 are interchangeable.) 4. Press Í repeatedly to rotate through the graph styles. The seven styles rotate in the same order in which they are listed in the table above. 5. Press ~, }, or † when you have selected a style. TI-83 Plus Function Graphing 118 - Texas Instruments TI-83-Plus | User Manual - Page 122
Shading Above and Below When you select é or ê for two or more functions, the TI-83 Plus rotates through four shading patterns. • Vertical lines shade the first function with a é or ê graph style. • Horizontal lines shade the second. • Negatively sloping diagonal lines shade the third. • Positively - Texas Instruments TI-83-Plus | User Manual - Page 123
the graph style, as shown below. 1 = ç (line) 2 = è (thick) 3 = é (above) 4 = ê (below) 5 = ë (path) 6 = ì (animate) 7 = í (dot) GraphStyle(function#,graphstyle#) For example, when this program is executed in Func mode, GraphStyle(1,3) sets Y1 to é (above). TI-83 Plus Function Graphing 120 - Texas Instruments TI-83-Plus | User Manual - Page 124
Func graphing mode and Radian angle mode. The window variables differ from one graphing mode to another. Xres sets pixel resolution (1 through 8) for function graphs only. The default is 1. • At Xres=1, functions are evaluated and graphed at each pixel on the x-axis. TI-83 Plus Function Graphing - Texas Instruments TI-83-Plus | User Manual - Page 125
at every eighth pixel along the x-axis. Tip: Small Xres values improve graph resolution but may cause the TI-83 Plus to draw graphs more slowly. Changing a Window Variable Value To change a window variable value from the window editor, follow these steps. 1. Press † or } to move the cursor to - Texas Instruments TI-83-Plus | User Manual - Page 126
window variable to which you want to store a value. The name of the variable is pasted to the current cursor location. 6. Press Í to complete the instruction. TI-83 Plus Function Graphing 123 - Texas Instruments TI-83-Plus | User Manual - Page 127
graph (graphing accuracy). @X and @Y are calculated from Xmin, Xmax, Ymin, and Ymax when you display a graph. (Xmax N Xmin) @X = 94 (Ymax N Ymin) @Y = 62 You can store values to @X and @Y. If you do, Xmax and Ymax are calculated from @X, Xmin, @Y, and Ymin. TI-83 Plus Function Graphing 124 - Texas Instruments TI-83-Plus | User Manual - Page 128
graphing mode has an additional mode setting (Chapter 6). Changing a Format Setting To change a format setting, follow these steps. 1. Press †, ~, }, and | as necessary to move the cursor to the setting you want to select. 2. Press Í to select the highlighted setting. TI-83 Plus Function Graphing - Texas Instruments TI-83-Plus | User Manual - Page 129
, CoordOff CoordOn (coordinates on) displays the cursor coordinates at the bottom of the graph. If ExprOff format is selected, the function number is displayed in the top-right corner. CoordOff (coordinates off) does not display the function number or coordinates. TI-83 Plus Function Graphing 126 - Texas Instruments TI-83-Plus | User Manual - Page 130
the LabelOff/LabelOn format setting. LabelOff, LabelOn LabelOff and LabelOn determine whether to display labels for the axes (X and Y), if AxesOn format is also selected. TI-83 Plus Function Graphing 127 - Texas Instruments TI-83-Plus | User Manual - Page 131
This format setting also applies to stat plots. When ExprOn is selected, the expression is displayed in the top-left corner of the graph screen. When ExprOff and CoordOn both are selected, the number in the top-right corner specifies which function is being traced. TI-83 Plus Function Graphing 128 - Texas Instruments TI-83-Plus | User Manual - Page 132
, press s. TRACE, ZOOM instructions, and CALC operations display the graph automatically. As the TI-83 Plus plots the graph, the busy indicator is on. As the graph is plotted, X and Y are updated. Pausing or Stopping a Graph While plotting a graph, you can pause or stop graphing. • Press Í to pause - Texas Instruments TI-83-Plus | User Manual - Page 133
format setting • Cleared drawings by selecting ClrDraw • Changed a stat plot definition Overlaying Functions on a Graph On the TI-83 Plus, you can graph one or more new functions without replotting existing functions. For example, store sin(X) to Y1 in the Y= editor and press s. Then store cos(X) to - Texas Instruments TI-83-Plus | User Manual - Page 134
of Curves If you enter a list (Chapter 11) as an element in an expression, the TI-83 Plus plots the function for each value in the list, thereby graphing a family of curves. In Simul graphing-order mode, it graphs all functions sequentially for the first element in each list, and then for the second - Texas Instruments TI-83-Plus | User Manual - Page 135
cursor moves from the same position. Graphing Accuracy The free-moving cursor moves from pixel to pixel on the screen. When you move the cursor to a pixel that appears to be on the function, the cursor may be near, but not actually on, the function. The coordinate TI-83 Plus Function Graphing 132 - Texas Instruments TI-83-Plus | User Manual - Page 136
, *accurate to within the width and height of the pixel. As Xmin, Xmax, Ymin, and Ymax get closer together (as in a Zoom In) graphing accuracy increases, and the coordinate values more closely approximate the math coordinates. Free- moving cursor "on" the curve TI-83 Plus Function Graphing 133 - Texas Instruments TI-83-Plus | User Manual - Page 137
from one plotted point to the next along a function. To begin a trace, press r. If the graph is not displayed already, press r to display it. The trace cursor is on the first selected function or ~. press y | or y ~. enter a value, and then press Í. press } or †. TI-83 Plus Function Graphing 134 - Texas Instruments TI-83-Plus | User Manual - Page 138
When the trace cursor moves along a function, the Y value is calculated from the X value; that is, Y=Yn(X). If the function is undefined at an X value, the Y value is bottom-left corner of the screen. You can enter an expression at the X= prompt. The value must TI-83 Plus Function Graphing 135 - Texas Instruments TI-83-Plus | User Manual - Page 139
window, even if the cursor is above or below the display. This allows panning up and down. After Quick Zoom, the cursor remains in TRACE. TI-83 Plus Function Graphing 136 - Texas Instruments TI-83-Plus | User Manual - Page 140
the instruction is encountered during program execution, the graph is displayed with the trace cursor on the first selected function. As you trace, the cursor coordinate values are updated. When you finish tracing the functions, press Í to resume program execution. TI-83 Plus Function Graphing 137 - Texas Instruments TI-83-Plus | User Manual - Page 141
the ZOOM menu, press q. You can adjust the viewing window of the graph quickly in several ways. All ZOOM instructions are accessible from programs. ZOOM MEMORY 1:ZBox 2:Zoom In 3:Zoom Out values for current stat lists. Fits YMin and YMax between XMin and XMax. TI-83 Plus Function Graphing 138 - Texas Instruments TI-83-Plus | User Manual - Page 142
Zoom Cursor When you select 1:ZBox, 2:Zoom In, or 3:Zoom Out, the cursor on the graph becomes the zoom cursor (+), a smaller version of the free-moving cursor (+). ZBox To define a you press Í, press '. 4. When you have defined the box, press Í to replot the graph. TI-83 Plus Function Graphing 139 - Texas Instruments TI-83-Plus | User Manual - Page 143
extent of the zoom. To zoom in on a graph, follow these steps. 1. Check XFact and YFact; change as needed. 2. Select 2:Zoom In from the ZOOM menu. The zoom cursor is displayed. 3. Move the zoom cursor to the point that is to be the center of the new viewing window. TI-83 Plus Function Graphing 140 - Texas Instruments TI-83-Plus | User Manual - Page 144
4. Press Í. The TI-83 Plus adjusts the viewing window by XFact and YFact; updates the window variables; and replots the selected functions, centered on the cursor location. 5. Zoom in on the graph again in either of two ways. • To zoom in at the same point, press Í. • To zoom in at a new point, move - Texas Instruments TI-83-Plus | User Manual - Page 145
and Yscl remain unchanged. The midpoint of the current graph (not the intersection of the axes) becomes the midpoint of the new graph. ZStandard ZStandard replots the functions immediately. It updates the =L(47à24)p Xmax=(47à24)p Xscl=p/2 Ymin=L4 Ymax=4 Yscl=1 TI-83 Plus Function Graphing 142 - Texas Instruments TI-83-Plus | User Manual - Page 146
and YMax to include the minimum and maximum Y values of the selected functions between the current XMin and XMax. XMin and XMax are not changed. TI-83 Plus Function Graphing 143 - Texas Instruments TI-83-Plus | User Manual - Page 147
the current window variables are stored in the user-defined ZOOM variables ZXmin, ZXmax, ZXscl, ZYmin, ZYmax, ZYscl, and ZXres. These variables apply to all graphing modes. For example, changing the value of ZXmin in Func mode also changes it in Par mode. TI-83 Plus Function Graphing 144 - Texas Instruments TI-83-Plus | User Manual - Page 148
is determined by the values stored with the ZoomSto instruction. The window variables are updated with the user-defined values, and the graph is plotted. ZOOM FACTORS The zoom factors, XFact and from the ZOOM MEMORY menu. The values shown are the defaults. TI-83 Plus Function Graphing 145 - Texas Instruments TI-83-Plus | User Manual - Page 149
home screen or a program, you can store directly to any of the user-defined ZOOM variables. From a program, you can select the ZoomSto and ZoomRcl instructions from the ZOOM MEMORY menu. TI-83 Plus Function Graphing 146 - Texas Instruments TI-83-Plus | User Manual - Page 150
CALC (Calculate) Operations CALCULATE Menu To display the CALCULATE menu, press y ãCALCä. Use the items on this menu to analyze the current graph functions. CALCULATE 1:value 2:zero 3:minimum 4:maximum 5:intersect 6:dy/dx 7:‰f(x)dx Calculates value operation. TI-83 Plus Function Graphing 147 - Texas Instruments TI-83-Plus | User Manual - Page 151
To evaluate a selected function at X, follow these steps. 1. Select 1:value from the CALCULATE menu. The graph is displayed with X= in the bottom-left corner. 2. Enter a real value, which can than one x-intercept value; zero finds the zero closest to your guess. TI-83 Plus Function Graphing 148 - Texas Instruments TI-83-Plus | User Manual - Page 152
of a function, follow these steps. 1. Select 2:zero from the CALCULATE menu. The current graph is displayed with Left Bound? in the bottom-left corner. 2. Press indicator on the graph screen shows the right bound. Guess? is then displayed in the bottom-left corner. TI-83 Plus Function Graphing 149 - Texas Instruments TI-83-Plus | User Manual - Page 153
interval to a tolerance of 1âL5. To find a minimum or maximum, follow these steps. 1. Select 3:minimum or 4:maximum from the CALCULATE menu. The current graph is displayed. 2. Select the function and set left bound, right bound, and guess as described for zero. TI-83 Plus Function Graphing 150 - Texas Instruments TI-83-Plus | User Manual - Page 154
Select 5:intersect from the CALCULATE menu. The current graph is displayed with First curve? in the bottom-left corner. 2. Press † or }, if necessary, to move the cursor to the first function, and then press Í. Second curve? is displayed in the bottom-left corner. TI-83 Plus Function Graphing 151 - Texas Instruments TI-83-Plus | User Manual - Page 155
† to select the function for which you want to find the numerical derivative. 3. Press | or ~ (or enter a value) to select the X value at which to calculate the derivative, and then press Í. The cursor is on the solution and the numerical derivative is displayed. TI-83 Plus Function Graphing 152 - Texas Instruments TI-83-Plus | User Manual - Page 156
the numerical derivative of a function, follow these steps. 1. Select 7:‰f(x)dx from the CALCULATE menu. The current graph is displayed with Lower Limit? in the bottom-left corner. 2. Press } or 8) or any action that invokes Smart Graph to clear the shaded area. TI-83 Plus Function Graphing 153 - Texas Instruments TI-83-Plus | User Manual - Page 157
. Horizontal: X1(t)=tv0cos(q) Vertical: Y1(t)=tv0sin(q)N 1 2 gt2 The vertical and horizontal vectors of the ball's motion also will be graphed. Vertical vector: Horizontal vector: Gravity constant: X2(t)=0 X3(t)=X1(t) g=9.8 m/sec2 Y2(t)=Y1(t) Y3(t)=0 TI-83 Plus Parametric Graphing 154 - Texas Instruments TI-83-Plus | User Manual - Page 158
1. Press z. Press to select Par mode. Press to select Simul for simultaneous graphing of all three parametric equations in this example. 2. Press o. Press 30 „ ™ 25 y ; 1 (to select ¡) ¤ Í to to display the PARAMETRIC secondary menu. Press 2 Í to define Y2T. TI-83 Plus Parametric Graphing 155 - Texas Instruments TI-83-Plus | User Manual - Page 159
(These keystrokes assume that all graph styles were set to ç originally.) 8. Press p. Enter these values for the window variables. Tmin=0 Tmax=5 Tstep=.1 Xmin=L10 Xmax=100 Xscl=50 Ymin=L5 Ymax=15 Yscl=10 9. Press y to set AxesOff, which turns off the axes. TI-83 Plus Parametric Graphing 156 - Texas Instruments TI-83-Plus | User Manual - Page 160
The plotting action simultaneously shows the ball in flight and the vertical and horizontal component vectors of the motion. Tip: To simulate the ball flying through the air, set graph style to ì (animate ), and T (time) are displayed at the bottom of the screen. TI-83 Plus Parametric Graphing 157 - Texas Instruments TI-83-Plus | User Manual - Page 161
Displaying Parametric Graphs TI-83 Plus Graphing Mode Similarities The steps for defining a parametric graph are similar to the steps for defining a function graph. Chapter 4 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 4 details aspects of parametric graphing that differ - Texas Instruments TI-83-Plus | User Manual - Page 162
. The independent variable in a parametric equation is T. In Par graphing mode, you can enter the parametric variable T in either of two ways. • Press „. • Press ƒ ãTä. Two components, X and Y, define a single parametric equation. You must define both of them. TI-83 Plus Parametric Graphing 159 - Texas Instruments TI-83-Plus | User Manual - Page 163
Selecting and Deselecting Parametric Equations The TI-83 Plus graphs only the selected parametric equations. In the Y= editor, a parametric equation is selected when the = ensure that sufficient points are plotted, you may want to change the T window variables. TI-83 Plus Parametric Graphing 160 - Texas Instruments TI-83-Plus | User Manual - Page 164
y .. Chapter 3 describes the format settings in detail. The other graphing modes share these format settings; Seq graphing mode has an additional axes format setting. Displaying a Graph When you press s, the TI-83 Plus plots the selected parametric equations. It evaluates the X and Y components - Texas Instruments TI-83-Plus | User Manual - Page 165
• Store parametric equations. • Select or deselect parametric equations. • Store values directly to window variables. TI-83 Plus Parametric Graphing 162 - Texas Instruments TI-83-Plus | User Manual - Page 166
To activate TRACE, press r. When TRACE is active, you can move the trace cursor along the graph of the equation one Tstep at a time. When you begin a trace, the trace cursor is , R, q, and T are displayed. The X and Y (or R and q) values are calculated from T. TI-83 Plus Parametric Graphing 163 - Texas Instruments TI-83-Plus | User Manual - Page 167
coordinate values at the bottom of the screen continue to change appropriately. Quick Zoom is available in Par graphing; panning is not (Chapter 3). Moving the Trace Cursor to Any Valid T Value To move the have completed the entry, press Í to move the cursor. TI-83 Plus Parametric Graphing 164 - Texas Instruments TI-83-Plus | User Manual - Page 168
menu ZT/Zq items 1:ZTmin, 2:ZTmax, and 3:ZTstep are the zoom memory variables for Par graphing. CALC CALC operations in Par graphing work the same as in Func graphing. The CALCULATE menu items available in Par graphing are 1:value, 2:dy/dx, 3:dy/dt, and 4:dx/dt. TI-83 Plus Parametric Graphing 165 - Texas Instruments TI-83-Plus | User Manual - Page 169
of the rose for other values of A and B. 1. Press z to display the mode screen. Press to select Pol graphing mode. Select the defaults (the options on the left) for the other mode settings. 2. Press o to display the polar Y= editor. Press 8 ˜ 2.5 „ ¤ Í to define r1. TI-83 Plus Polar Graphing 166 - Texas Instruments TI-83-Plus | User Manual - Page 170
equation in the standard viewing window. The graph shows only five petals of the rose, 5:ZSquare and plot the graph. 6. Repeat steps 2 through 5 with new values for the variables A and B in the polar equation r1=Asin(Bq). Observe how the new values affect the graph. TI-83 Plus Polar Graphing 167 - Texas Instruments TI-83-Plus | User Manual - Page 171
and Displaying Polar Graphs TI-83 Plus Graphing Mode Similarities The steps for defining a polar graph are similar to the steps for defining a function graph. Chapter 5 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 5 details aspects of polar graphing that differ from - Texas Instruments TI-83-Plus | User Manual - Page 172
mode, you can enter the polar variable q in either of two ways. • Press „. • Press ƒ ãqä. Selecting and Deselecting Polar Equations The TI-83 Plus graphs only the selected polar equations. In the Y= editor, a polar equation is selected when the = sign is highlighted. You may select any or all - Texas Instruments TI-83-Plus | User Manual - Page 173
values, press p. These variables define the viewing window. The values below are defaults for Pol graphing in Radian angle mode. qmin=0 qmax=6.2831853... qstep=.1308996... Xmin=L10 Xmax=10 Xscl=1 Ymin points are plotted, you may want to change the q window variables. TI-83 Plus Polar Graphing 170 - Texas Instruments TI-83-Plus | User Manual - Page 174
format settings, press y .. Chapter 3 describes the format settings in detail. The other graphing modes share these format settings. Displaying a Graph When you press s, the TI-83 Plus plots the selected polar equations. It evaluates R for each value of q (from qmin to qmax in intervals of qstep - Texas Instruments TI-83-Plus | User Manual - Page 175
• Store polar equations. • Select or deselect polar equations. • Store values directly to window variables. TI-83 Plus Polar Graphing 172 - Texas Instruments TI-83-Plus | User Manual - Page 176
displayed. TRACE To activate TRACE, press r. When TRACE is active, you can move the trace cursor along the graph of the equation one qstep at a time. When you begin a trace, the trace cursor is on the ~. If you move the trace cursor beyond the top or bottom of the TI-83 Plus Polar Graphing 173 - Texas Instruments TI-83-Plus | User Manual - Page 177
. When you complete the entry, press Í to move the cursor. ZOOM ZOOM operations in Pol graphing work the same as in Func graphing. Only the X (Xmin, Xmax, and Xscl) and Y (Ymin, Ymax, and Yscl) window , 5:Zqmax, and 6:Zqstep are zoom memory variables for Pol graphing. TI-83 Plus Polar Graphing 174 - Texas Instruments TI-83-Plus | User Manual - Page 178
CALC CALC operations in Pol graphing work the same as in Func graphing. The CALCULATE menu items available in Pol graphing are 1:value, 2:dy/dx, and 3:dr/dq. TI-83 Plus Polar Graphing 175 - Texas Instruments TI-83-Plus | User Manual - Page 179
Chapter 6: Sequence Graphing Getting Started: Forest and Trees Getting Started is a fast-paced introduction. Read years and with how many trees? 1. Press z. Press to select Seq graphing mode. 2. Press y . and select Time axes format and ExprOn format if necessary. TI-83 Plus Sequence Graphing 176 - Texas Instruments TI-83-Plus | User Manual - Page 180
3. Press o. If the graph-style icon is not í (dot), press | |, press Í until í is displayed, and then press ~ ~. 4. Press ~ 3 to select iPart( (integer . Set the other window variables. PlotStart=1 PlotStep=1 Xmin=0 Xmax=50 Xscl=10 Ymin=0 Ymax=6000 Yscl=1000 TI-83 Plus Sequence Graphing 177 - Texas Instruments TI-83-Plus | User Manual - Page 181
of years), X (X=n, because n is plotted on the x-axis), and Y (tree count) are displayed at the bottom. When will the forest stabilize? With how many trees? TI-83 Plus Sequence Graphing 178 - Texas Instruments TI-83-Plus | User Manual - Page 182
you enter window variables and before you enter sequence functions. Sequence graphs automatically plot in Simul mode, regardless of the current plotting-order mode setting. TI-83 Plus Sequence Functions u, v, and w The TI-83 Plus has three sequence functions that you can enter from the keyboard - Texas Instruments TI-83-Plus | User Manual - Page 183
enter sequences for u(n), v(n), and w(n). Also, you can edit the value for nMin, which is the sequence window variable that defines the minimum n value to evaluate. TI-83 Plus Sequence Graphing 180 - Texas Instruments TI-83-Plus | User Manual - Page 184
The default in Seq mode is í (dot), which shows discrete values. Dot, ç (line), and è (thick) styles are available for sequence graphing. Graph styles are ignored in Web format. Selecting and Deselecting Sequence Functions The TI-83 Plus graphs only the selected sequence functions. In the Y= editor - Texas Instruments TI-83-Plus | User Manual - Page 185
integer values. n is always a series of consecutive integers, starting at zero or any positive integer. Nonrecursive Sequences In a nonrecursive sequence, the nth term is a function of the independent variable n. Each term is independent of all other terms. TI-83 Plus Sequence Graphing 182 - Texas Instruments TI-83-Plus | User Manual - Page 186
5, ... . Note: You may leave blank the initial value u(nMin) when calculating nonrecursive sequences. Recursive Sequences In a recursive sequence, the nth term in the sequence below you cannot calculate u(5) without first calculating u(1), u(2), u(3), and u(4). TI-83 Plus Sequence Graphing 183 - Texas Instruments TI-83-Plus | User Manual - Page 187
u(nMin) = 1, the sequence above returns 1, 2, 4, 8, 16, . . . Tip: On the TI-83 Plus, you must type each character of the terms. For example, to enter u(nN1), press y [u Recursive first term is 0 and the value of the second term is 1 for the sequence u(n). TI-83 Plus Sequence Graphing 184 - Texas Instruments TI-83-Plus | User Manual - Page 188
evaluate Largest n value to evaluate First term number to be plotted Incremental n value (for graphing only) Smallest X value to be displayed Largest X value to be displayed Spacing between the are evaluated at u(nMin), u(nMin+1), u(nMin+2) , . . . , u(nMax). TI-83 Plus Sequence Graphing 185 - Texas Instruments TI-83-Plus | User Manual - Page 189
for graphing only. PlotStep does not affect sequence evaluation; it only designates which points are plotted on the graph. If you specify PlotStep=2, the sequence is evaluated at each consecutive integer, but it is plotted on the graph only at every other integer. TI-83 Plus Sequence Graphing 186 - Texas Instruments TI-83-Plus | User Manual - Page 190
on Axes display on or off Axes label display off or on Expression display on or off Setting Axes Format For sequence graphing, you can select from five axes formats. The table below shows the values that are plotted on the x-axis and y-axis for each axes setting. TI-83 Plus Sequence Graphing 187 - Texas Instruments TI-83-Plus | User Manual - Page 191
) u(n) v(n) u(n) y-axis u(n), v(n), w(n) u(n), v(n), w(n) v(n) w(n) w(n) Displaying a Sequence Graph To plot the selected sequence functions, press s. As a graph is plotted, the TI-83 Plus updates X, Y, and n. Smart Graph applies to sequence graphs (Chapter 3). TI-83 Plus Sequence Graphing 188 - Texas Instruments TI-83-Plus | User Manual - Page 192
Free-Moving Cursor The free-moving cursor in Seq graphing works the same as in Func graphing. In RectGC format, moving the cursor updates the values of X and Y; if CoordOn format is selected, X and moved the trace cursor, press Í. The trace cursor returns to nMin. TI-83 Plus Sequence Graphing 189 - Texas Instruments TI-83-Plus | User Manual - Page 193
expression at the n = prompt. The value must be valid for the current viewing window. When you have completed the entry, press Í to move the cursor. TI-83 Plus Sequence Graphing 190 - Texas Instruments TI-83-Plus | User Manual - Page 194
menu ZU items 1 through 7 are the ZOOM MEMORY variables for Seq graphing. CALC The only CALC operation available in Seq graphing is value. • When Time axes format is selected, value displays Y example, for uv axes format, X represents u(n) and Y represents v(n). TI-83 Plus Sequence Graphing 191 - Texas Instruments TI-83-Plus | User Manual - Page 195
names u, v, or w, press y [u], [v], or [w]. You can evaluate these names in any of three ways. • Calculate the nth value in a sequence. • Calculate a list of values in a sequence. • Generate a sequence with u(nstart,nstop[,nstep]). nstep is optional; default is 1. TI-83 Plus Sequence Graphing 192 - Texas Instruments TI-83-Plus | User Manual - Page 196
When Web axes format is selected, a sequence will not graph properly or will generate an error. • It must be recursive with only one recursion level (u(nN1) but not u(nN2)). • It cannot reference n directly. • It cannot reference any defined sequence except itself. TI-83 Plus Sequence Graphing 193 - Texas Instruments TI-83-Plus | User Manual - Page 197
Screen In Web format, press s to display the graph screen. The TI-83 Plus: • Draws a y=x reference line in AxesOn format. • Plots the selected sequences with u(nN1) as the independent variable. Note: A potential convergence point occurs whenever a sequence intersects the y=x - Texas Instruments TI-83-Plus | User Manual - Page 198
graph style is set to í (dot), and then define nMin, u(n) and u(nMin) as shown below. 2. Press y . Í to set Time axes format. 3. Press p and set the variables as shown below. nMin=1 Xmin=0 Ymin=L10 nMax=25 Xmax=25 Ymax=10 PlotStart=1 Xscl=1 Yscl=1 PlotStep=1 TI-83 Plus Sequence Graphing - Texas Instruments TI-83-Plus | User Manual - Page 199
Web axes setting. 6. Press p and change the variables below. Xmin=L10 Xmax=10 7. Press s to graph the sequence. 8. Press r, and then press ~ to draw the web. The displayed cursor coordinates n, X y=x reference line. This pattern repeats as you trace the web. TI-83 Plus Sequence Graphing 196 - Texas Instruments TI-83-Plus | User Manual - Page 200
Phase Plots Graphing with uv, vw, and uw The phase-plot axes settings uv, vw, and uw show relationships between two sequences. To select a phase-plot axes setting, press y ., press ~ until with initial populations of 200 rabbits (u(nMin)) and 50 foxes (v(nMin)). TI-83 Plus Sequence Graphing 197 - Texas Instruments TI-83-Plus | User Manual - Page 201
values for Rn and Wn as shown below. Enter the sequence Rn as u(n) and enter the sequence Wn as v(n). 2. Press y . Í to select Time axes format. TI-83 Plus Sequence Graphing 198 - Texas Instruments TI-83-Plus | User Manual - Page 202
Press s to graph the sequence. 5. Press r ~ to individually trace the number of rabbits (u(n)) and foxes (v(n)) over time (n). Tip: Press a number, and then press Í to jump to a specific n value (month) while in TRACE. 6. Press y . ~ ~ Í to select uv axes format. TI-83 Plus Sequence Graphing 199 - Texas Instruments TI-83-Plus | User Manual - Page 203
foxes (Y) through 400 generations. Note: When you press r, the equation for u is displayed in the top-left corner. Press } or † to see the equation for v. TI-83 Plus Sequence Graphing 200 - Texas Instruments TI-83-Plus | User Manual - Page 204
Sequences and Window Variables Refer to the table if you are familiar with the TI-82. It shows TI-83 Plus sequences and sequence window variables, as well as their TI-82 counterparts. TI-83 Plus In the Y= editor: u(n) u(nMin) v(n) v(nMin) w(n) w(nMin) In the window editor: nMin nMax PlotStart - Texas Instruments TI-83-Plus | User Manual - Page 205
and variable syntax. TI-83 Plus / TI-82 n / n u(n) / Un v(n) / Vn w(n) u(nN1) / UnN1 v(nN1) / VnN1 w(nN1) On TI-83 Plus, press: „ y [u] £ „ ¤ y [v] £ „ ¤ y [w] £ „ ¤ y [u y [v y [w On TI-82, press: y [n] y ó ¶ À y ó ¶ Á not available y õ y ö not available TI-83 Plus Sequence Graphing 202 - Texas Instruments TI-83-Plus | User Manual - Page 206
sign changes occur, and at what X values? 1. Press z to set Func graphing mode. 2. Press o. Press „ 3 to select 3. Then press ¹ 2 „ to enter the function Y1=X3N2X. 3. Press y - to display the TABLE SETUP screen. Press Ì 10 Í to set TblStart=L10. Press 1 Í to set @Tbl=1. TI-83 Plus Tables 203 - Texas Instruments TI-83-Plus | User Manual - Page 207
display the table screen. 5. Press † until you see the sign changes in the value of Y1. How many sign changes occur, and at what X values? TI-83 Plus Tables 204 - Texas Instruments TI-83-Plus | User Manual - Page 208
Indpnt: Auto is selected). @Tbl (table step) defines the increment for the independent variable. Note: In Seq mode, both TblStart and @Tbl must be integers. TI-83 Plus Tables 205 - Texas Instruments TI-83-Plus | User Manual - Page 209
a value for the independent variable, all corresponding dependentvariable values are calculated and displayed automatically. Values are displayed automatically for the independent variable; the program editor, you can select IndpntAuto, IndpntAsk, DependAuto, and DependAsk. TI-83 Plus Tables 206 - Texas Instruments TI-83-Plus | User Manual - Page 210
variables. Only functions that are selected in the Y= editor are displayed in the table. The current graphing mode is used. In Par mode, you must define both components of each parametric equation (Chapter the top of the column. The function is displayed on the bottom line. TI-83 Plus Tables 207 - Texas Instruments TI-83-Plus | User Manual - Page 211
moves to the bottom line. Edit the function. 4. Press Í or †. The new values are calculated. The table and the Y= function are updated automatically. Note: You also can use this feature to view the function that defines a dependent variable without having to leave the table. TI-83 Plus Tables 208 - Texas Instruments TI-83-Plus | User Manual - Page 212
Variables The current graphing mode determines which independent and dependent variables are displayed in the table (Chapter 1). In the table above, for example, the independent variable X and the dependent variables Y1 and Y2 are displayed because Func graphing mode is set. TI-83 Plus Tables 209 - Texas Instruments TI-83-Plus | User Manual - Page 213
Graphing Mode Func (function) Par (parametric) Pol (polar) Seq the Table from the Home Screen or a Program From the home screen, select the ClrTable instruction from the CATALOG. To clear the table, press Í. From a program, select 9:ClrTable from Depend: Ask is selected. TI-83 Plus Tables 210 - Texas Instruments TI-83-Plus | User Manual - Page 214
functions. The independent variable always remains in the left column, except during a trace with Par graphing mode and G.T split-screen mode set. Tip: To simultaneously display two dependent variables on the and Y7 on the table, go to the Y= editor and deselect Y5 and Y6. TI-83 Plus Tables 211 - Texas Instruments TI-83-Plus | User Manual - Page 215
Chapter 8: Draw Instructions Getting Started: Drawing a Tangent Line Getting Started is a fast-paced introduction. Read to display the Y= editor. Press ˜ „ ¤ to store sin(X) in Y1. 2. Press q 7 to select 7:ZTrig, which graphs the equation in the Zoom Trig window. TI-83 Plus Draw Instructions 212 - Texas Instruments TI-83-Plus | User Manual - Page 216
3. Press y < 5 to select 5:Tangent(. The tangent instruction is initiated. 4. Press y C 2 ¤ ¥ 2. 5. Press Í. The tangent line is drawn; the X value and the tangent-line equation are displayed on the graph. TI-83 Plus Draw Instructions 213 - Texas Instruments TI-83-Plus | User Manual - Page 217
the DRAW Menu DRAW Menu To display the DRAW menu, press y - Texas Instruments TI-83-Plus | User Manual - Page 218
the graph again. Drawing on a Graph You can use any DRAW menu instructions except DrawInv to draw on Func, Par, Pol, and Seq graphs. DrawInv is valid only in Func graphing. The coordinates for all DRAW instructions are the display's x-coordinate and y-coordinate values. TI-83 Plus Draw Instructions - Texas Instruments TI-83-Plus | User Manual - Page 219
menu instructions to draw directly on a graph, using the cursor to identify the coordinates. You also can execute these instructions from the home screen or from within a program. If a graph is not displayed when you select a DRAW menu instruction, the home screen is displayed. TI-83 Plus Draw - Texas Instruments TI-83-Plus | User Manual - Page 220
ClrDraw is executed, it clears all drawings from the current graph and displays the message Done. When you display the graph again, all drawn points, lines, circles, and shaded areas will be gone. Note: Before you clear drawings, you can store them with StorePic. TI-83 Plus Draw Instructions 217 - Texas Instruments TI-83-Plus | User Manual - Page 221
Drawing Line Segments Drawing a Line Segment Directly on a Graph To draw a line segment when a graph is displayed, follow these steps. 1. Select 2:Line( from the DRAW menu. 2. Í. To continue drawing line segments, repeat steps 2 and 3. To cancel Line(, press '. TI-83 Plus Draw Instructions 218 - Texas Instruments TI-83-Plus | User Manual - Page 222
Drawing a Line Segment from the Home Screen or a Program Line( also draws a line segment between the coordinates (X1,Y1) and (X2,Y2). The values may be entered as expressions. Line(X1,Y1,X2,Y2) To erase a line segment, enter Line(X1,Y1,X2,Y2,0) TI-83 Plus Draw Instructions 219 - Texas Instruments TI-83-Plus | User Manual - Page 223
y-coordinate (for horizontal lines) or x-coordinate (for vertical lines) through which you want the drawn line to pass. 3. Press Í to draw the line on the graph. To continue drawing lines, repeat steps 2 and 3. To cancel Horizontal or Vertical, press '. TI-83 Plus Draw Instructions 220 - Texas Instruments TI-83-Plus | User Manual - Page 224
at Y=y. y can be an expression but not a list. Horizontal y Vertical (vertical line) draws a vertical line at X=x. x can be an expression but not a list. Vertical x To instruct the TI-83 Plus to draw more than one horizontal or vertical line, separate each - Texas Instruments TI-83-Plus | User Manual - Page 225
Press † and } to move the cursor to the function for which you want to draw the tangent line. The current graph's Y= function is displayed in the top-left corner, if ExprOn is selected. 3. Press ~ and | or enter a In all other modes, the dy/dx value is displayed. TI-83 Plus Draw Instructions 222 - Texas Instruments TI-83-Plus | User Manual - Page 226
terms of X, such as Y1 or X2, at point X=value. X can be an expression. expression is interpreted as being in Func mode. Tangent(expression,value) TI-83 Plus Draw Instructions 223 - Texas Instruments TI-83-Plus | User Manual - Page 227
in terms of X on the current graph. When you select 6:DrawF from the DRAW menu, the TI-83 Plus returns to the home screen or the menu, the TI-83 Plus returns to the home screen or the program editor. DrawInv is not interactive. DrawInv works in Func mode only. TI-83 Plus Draw Instructions 224 - Texas Instruments TI-83-Plus | User Manual - Page 228
DrawInv expression Note: You cannot use a list in expression to draw a family of curves. TI-83 Plus Draw Instructions 225 - Texas Instruments TI-83-Plus | User Manual - Page 229
Graph Shading a Graph To shade an area on a graph, select 7:Shade( from the DRAW menu. The instruction is pasted to the home screen or to the program editor. Shade( draws lowerfunc and upperfunc in terms of X on the current graph -slope 45¡ positive-slope 45¡ TI-83 Plus Draw Instructions 226 - Texas Instruments TI-83-Plus | User Manual - Page 230
fourth pixel shades every fifth pixel shades every sixth pixel shades every seventh pixel shades every eighth pixel Shade(lowerfunc,upperfunc[,Xleft,Xright,pattern,patres]) TI-83 Plus Draw Instructions 227 - Texas Instruments TI-83-Plus | User Manual - Page 231
graph. Note: This circle is displayed as circular, regardless of the window variable values, because you drew it directly on the display. When you use the Circle( instruction from the home screen or a program, the current window variables may distort the shape. TI-83 Plus Draw Instructions 228 - Texas Instruments TI-83-Plus | User Manual - Page 232
current window values may distort the drawn circle. Use ZSquare (Chapter 3) before drawing the circle to adjust the window variables and make the circle circular. TI-83 Plus Draw Instructions 229 - Texas Instruments TI-83-Plus | User Manual - Page 233
want the text to begin. 3. Enter the characters. Press ƒ or y 7 to enter letters and q. You may enter TI-83 Plus functions, variables, and instructions. The font is proportional, so the exact number of characters you can place on the graph varies. As you type, the characters are placed on top of the - Texas Instruments TI-83-Plus | User Manual - Page 234
. The TI-83 Plus will evaluate an expression and display the result with up to 10 characters. Split Screen On a Horiz split screen, the maximum value for row is 25. On a G.T split screen, the maximum value for row is 45, and the maximum value for column is 46. TI-83 Plus Draw Instructions 231 - Texas Instruments TI-83-Plus | User Manual - Page 235
, Pen was used to create the arrow pointing to the local minimum of the selected function. Note: To continue drawing on the graph, move the cursor to a new position where you want to begin drawing again, and then repeat steps 2, 3, and 4. To cancel Pen, press '. TI-83 Plus Draw Instructions 232 - Texas Instruments TI-83-Plus | User Manual - Page 236
DRAW POINTS Menu To display the DRAW POINTS menu, press y < ~. The TI-83 Plus's interpretation of these instructions depends on whether you accessed this menu from the home screen or the program editor or directly from a graph. DRAW POINTS STO 1:Pt-On( Turns on a point. 2:Pt-Off( Turns off - Texas Instruments TI-83-Plus | User Manual - Page 237
a drawn point on a graph, follow these steps. 1. Select 2:Pt.Off( (point off) from the DRAW POINTS menu. 2. Move the cursor to the point you want to erase. 3. Press Í to erase the point. To continue erasing points, repeat steps 2 and 3. To cancel Pt.Off(, press '. TI-83 Plus Draw Instructions 234 - Texas Instruments TI-83-Plus | User Manual - Page 238
Changing Points with Pt.Change( To change (toggle on or off) a point on a graph, follow these steps. 1. Select 3:Pt.Change( (point change) from the DRAW POINTS where: 1 = ¦ (dot; default) 2 = › (box) 3 = + (cross) Pt.On(x,y[,mark]) Pt.Off(x,y[,mark]) Pt.Change(x,y) TI-83 Plus Draw Instructions 235 - Texas Instruments TI-83-Plus | User Manual - Page 239
Note: If you specified mark to turn on a point with Pt.On(, you must specify mark when you turn off the point with Pt.Off(. Pt.Change( does not have the mark option. TI-83 Plus Draw Instructions 236 - Texas Instruments TI-83-Plus | User Manual - Page 240
Drawing Pixels TI-83 Plus Pixels A pixel is a square dot on the TI-83 Plus display. The Pxl. (pixel) instructions let you turn on, turn off, or reverse a pixel (dot) on the graph using the cursor. When you select a pixel instruction from the DRAW POINTS menu, the TI-83 Plus returns to the home - Texas Instruments TI-83-Plus | User Manual - Page 241
returns 1 if the pixel at (row,column) is turned on or 0 if the pixel is turned off on the current graph. row must be an integer between 0 and 62. column must be an integer between 0 and 94. pxl.Test(row, is 46 for Pxl.On(, Pxl.Off(, Pxl.Change(, and pxl.Test(. TI-83 Plus Draw Instructions 238 - Texas Instruments TI-83-Plus | User Manual - Page 242
Menu To display the DRAW STO menu, press y < |. When you select an instruction from the DRAW STO menu, the TI-83 Plus returns to the home screen or the program editor. The picture and graph database instructions are not interactive. DRAW POINTS STO 1: StorePic 2: RecallPic 3: StoreGDB 4: RecallGDB - Texas Instruments TI-83-Plus | User Manual - Page 243
picture. For example, if you enter 3, the TI-83 Plus will store the picture to Pic3. Note: You also can select a variable from the PICTURE secondary menu ( 4). The variable is pasted next to StorePic. 3. Press Í to display the current graph and store the picture. TI-83 Plus Draw Instructions 240 - Texas Instruments TI-83-Plus | User Manual - Page 244
the current graph with the picture superimposed on it. Note: Pictures are drawings. You cannot trace a curve that is part of a picture. Deleting a Graph Picture To delete graph pictures from memory, use the MEMORY MANAGEMENT /DELETE secondary menu (Chapter 18). TI-83 Plus Draw Instructions 241 - Texas Instruments TI-83-Plus | User Manual - Page 245
• Graph style for each Y= function GDBs do not contain drawn items or stat plot definitions. Storing a Graph Database To store a graph database, follow these steps. 1. Select 3:StoreGDB from the DRAW STO menu. StoreGDB is pasted to the current cursor location. TI-83 Plus Draw Instructions 242 - Texas Instruments TI-83-Plus | User Manual - Page 246
2. Enter the number (from 1 to 9, or 0) of the GDB variable to which you want to store the graph database. For example, if you enter 7, the TI-83 Plus will store the GDB to GDB7. Note: You also can select a variable from the GDB secondary menu ( 3). The variable is pasted next to StoreGDB. 3. Press - Texas Instruments TI-83-Plus | User Manual - Page 247
a variable from the GDB secondary menu ( 3). The variable is pasted next to RecallGDB. 3. Press Í to replace the current GDB with the recalled GDB. The new graph is not plotted. The TI-83 Plus changes the graphing mode automatically, if necessary. TI-83 Plus Draw Instructions 244 - Texas Instruments TI-83-Plus | User Manual - Page 248
Deleting a Graph Database To delete a GDB from memory, use the MEMORY MANAGEMENT/DELETE secondary menu (Chapter 18). TI-83 Plus Draw Instructions 245 - Texas Instruments TI-83-Plus | User Manual - Page 249
°, 60°, 90°, and so on. 1. Press z to display the mode screen. Press to select Degree mode. Press † ~ Í to select Par (parametric) graphing mode. Press to select G.T (graph-table) split-screen mode. 2. Press y . to display the format screen. Press to select ExprOff. TI-83 Plus Split Screen 246 - Texas Instruments TI-83-Plus | User Manual - Page 250
=2.5 Yscl=1 5. Press r. On the left, the unit circle is graphed parametrically in Degree mode and the trace cursor is activated. When T=0 (from the graph trace coordinates), you can see from the table on the right that value for each angle is highlighted in the table. TI-83 Plus Split Screen 247 - Texas Instruments TI-83-Plus | User Manual - Page 251
) to display the graph screen and another screen split horizontally. • Select G.T (graph-table) to display the graph screen and table screen split vertically. $ $ The split screen is activated when you press any key that applies to either half of the split screen. TI-83 Plus Split Screen 248 - Texas Instruments TI-83-Plus | User Manual - Page 252
key applies. For example, if you press r, the cursor is placed in the half in which the graph is displayed. If you press y 0, the cursor is placed in the half in which the table is displayed. The TI-83 Plus will remain in split-screen mode until you change back to Full screen mode - Texas Instruments TI-83-Plus | User Manual - Page 253
splits the screen into top and bottom halves. The top half displays the graph. The bottom half displays any of these editors. • Home screen (four lines) • Y= editor (four lines) • Stat list editor (two rows) • Window editor (three settings) • Table editor (two rows) TI-83 Plus Split Screen 250 - Texas Instruments TI-83-Plus | User Manual - Page 254
use the top half of the split screen: • Press s or r. • Select a ZOOM or CALC operation. To use the bottom half of the split screen: • Press any key or key combination that that displays the graph, home screen, Y= editor, stat list editor, window editor, or table editor. TI-83 Plus Split Screen 251 - Texas Instruments TI-83-Plus | User Manual - Page 255
right halves. The left half displays the graph. The right half displays the table. Moving from Half to Half in G.T Mode To use the left half of the split screen: • Press s or r. • Select a ZOOM or CALC operation. To use the right half of the split screen, press y 0. TI-83 Plus Split Screen 252 - Texas Instruments TI-83-Plus | User Manual - Page 256
the graph. Full Screens in G.T Mode All screens other than the graph and the table are displayed as full screens in G.T split-screen mode. To return to the G.T split screen from a full screen when in G.T mode, press any key or key combination that displays the graph or the table. TI-83 Plus Split - Texas Instruments TI-83-Plus | User Manual - Page 257
TI-83 Plus Pixels in Horiz and G.T Modes TI-83 Plus Pixels in Horiz and G.T Modes Note: Each set of numbers in parentheses above represents the row and column of a corner pixel, which is turned on. DRAW POINTS Menu Pixel Instructions For Pxl.On(, Pxl.Off(, Pxl.Change(, and pxl.Test(: • In Horiz - Texas Instruments TI-83-Plus | User Manual - Page 258
The instruction is pasted to the cursor location. The mode is set when the instruction is encountered during program execution. It remains in effect after execution. Note: You also can paste Horiz or G.T to the home screen or program editor from the CATALOG (Chapter 15). TI-83 Plus Split Screen - Texas Instruments TI-83-Plus | User Manual - Page 259
Getting Started is a fast-paced introduction. Read the chapter for details. Find the solution of X + 2Y + 3Z = 3 and 2X + 3Y + 4Z = 3. On the TI-83 Plus, you can solve a system of linear equations by entering the coefficients as elements in a matrix, and then using rref( to obtain the reduced row - Texas Instruments TI-83-Plus | User Manual - Page 260
menu. Press ¤ Í. The reduced row-echelon form of the matrix is displayed and stored in Ans. 1X N 1Z = L3 therefore 1Y + 2Z = 3 therefore X = L3 + Z Y = 3 N 2Z TI-83 Plus Matrices 257 - Texas Instruments TI-83-Plus | User Manual - Page 261
a matrix directly in an expression. A matrix, depending on available memory, may have up to 99 rows or columns. You can store only real numbers in TI-83 Plus matrices. Selecting a Matrix Before you can define or display a matrix in the editor, you first must select the matrix name. To do so, follow - Texas Instruments TI-83-Plus | User Manual - Page 262
accept or change the same way you accepted or changed the row dimension. When you press Í, the rectangular cursor moves to the first matrix element. TI-83 Plus Matrices 259 - Texas Instruments TI-83-Plus | User Manual - Page 263
center portion of the matrix editor displays up to seven rows and three columns of a matrix, showing the values of the elements in abbreviated form if necessary. The full value of the current element additional columns. # or $ in the right column indicate additional rows. TI-83 Plus Matrices 260 - Texas Instruments TI-83-Plus | User Manual - Page 264
of the highlighted element is displayed on the bottom line. Select the matrix from the MATRX EDIT menu, and then enter or accept the dimensions. TI-83 Plus Matrices 261 - Texas Instruments TI-83-Plus | User Manual - Page 265
bottom line. To edit a matrix element value, follow these steps. 1. Select the matrix from the MATRX EDIT menu, and then enter or accept the dimensions. TI-83 Plus Matrices 262 - Texas Instruments TI-83-Plus | User Manual - Page 266
editing context. Note: You can press ' Í to restore the value at the rectangular cursor if you make a mistake. 5. Press Í, }, or † to move to another element. TI-83 Plus Matrices 263 - Texas Instruments TI-83-Plus | User Manual - Page 267
the location of the edit cursor on the bottom line Activates the insert cursor Deletes the character under the edit cursor on the bottom line TI-83 Plus Matrices 264 - Texas Instruments TI-83-Plus | User Manual - Page 268
. 3. Enter a value, which can be an expression, for each element in the row. Separate the values with commas. 4. Press y [ ] ] to indicate the end of a row. TI-83 Plus Matrices 265 - Texas Instruments TI-83-Plus | User Manual - Page 269
,1,...,elementm,n]] Any expressions are evaluated when the entry is executed. Note: The commas that you must enter to separate elements are not displayed on output. TI-83 Plus Matrices 266 - Texas Instruments TI-83-Plus | User Manual - Page 270
to Another To copy a matrix, follow these steps. 1. Press y > to display the MATRX NAMES menu. 2. Select the name of the matrix you want to copy. TI-83 Plus Matrices 267 - Texas Instruments TI-83-Plus | User Manual - Page 271
recall a value from, a matrix element. The element must be within the currently defined matrix dimensions. Select matrix from the MATRX NAMES menu. [matrix](row,column) TI-83 Plus Matrices 268 - Texas Instruments TI-83-Plus | User Manual - Page 272
with Matrices Using Math Functions with Matrices You can use many of the math functions on the TI-83 Plus keyboard, the MATH menu, the MATH NUM menu, and the MATH TEST menu with matrices. together, the column dimension of matrixA must match the row dimension of matrixB. TI-83 Plus Matrices 269 - Texas Instruments TI-83-Plus | User Manual - Page 273
matrix is multiplied by value. matrixävalue valueämatrix L (Negation) Negating a matrix (Ì) returns a matrix in which the sign of every element is changed (reversed). Lmatrix TI-83 Plus Matrices 270 - Texas Instruments TI-83-Plus | User Manual - Page 274
. round(matrix[,#decimals]) M1 (Inverse) Use the L1 function (œ) to invert a matrix (^L1 is not valid). matrix must be square. The determinant cannot equal zero. TI-83 Plus Matrices 271 - Texas Instruments TI-83-Plus | User Manual - Page 275
basis. The other relational operations are not valid with matrices. matrixA=matrixB returns 1 if every comparison is true; it returns 0 if any comparison is false. TI-83 Plus Matrices 272 - Texas Instruments TI-83-Plus | User Manual - Page 276
fractional part of each element of matrix. int( returns a matrix containing the greatest integer of each element of matrix. iPart(matrix) fPart(matrix) int(matrix) TI-83 Plus Matrices 273 - Texas Instruments TI-83-Plus | User Manual - Page 277
( 9: List4matr( 0: cumSum( A: ref( B: rref( C: rowSwap( D: row+( E: ärow( F: ärow+( Calculates the determinant. Transposes the matrix. Returns the matrix dimensions. Fills all elements with a constant. Returns the number. Multiplies the row, adds to the second row. TI-83 Plus Matrices 274 - Texas Instruments TI-83-Plus | User Manual - Page 278
({rows columns}) of matrix. dim(matrix) Note: dim(matrix)!Ln:Ln(1) returns the number of rows. dim(matrix)!Ln:Ln(2) returns the number of columns. TI-83 Plus Matrices 275 - Texas Instruments TI-83-Plus | User Manual - Page 279
are zeros. Matrix elements that are outside the new dimensions are deleted. {rows,columns}!dim(matrixname) Fill( Fill( stores value to every element in matrixname. TI-83 Plus Matrices 276 - Texas Instruments TI-83-Plus | User Manual - Page 280
values (Chapter 2). randM(rows,columns) augment( augment( appends matrixA to matrixB as new columns. matrixA and matrixB both must have the same number of rows. TI-83 Plus Matrices 277 - Texas Instruments TI-83-Plus | User Manual - Page 281
n) & Matr4list( also fills a listname with elements from a specified column# in matrix. To fill a list with a specific column from matrix, you must enter column# after matrix. TI-83 Plus Matrices 278 - Texas Instruments TI-83-Plus | User Manual - Page 282
cumulative sums of the elements in matrix, starting with the first element. Each element is the cumulative sum of the column from top to bottom. TI-83 Plus Matrices 279 - Texas Instruments TI-83-Plus | User Manual - Page 283
form) returns the reduced row-echelon form of a real matrix. The number of columns must be greater than or equal to the number of rows. TI-83 Plus Matrices 280 - Texas Instruments TI-83-Plus | User Manual - Page 284
rref(matrix) rowSwap( rowSwap( returns a matrix. It swaps rowA and rowB of matrix. rowSwap(matrix,rowA,rowB) row+( row+( (row addition) returns a matrix. It adds rowA and rowB of matrix and stores the results in rowB. row+(matrix,rowA,rowB) TI-83 Plus Matrices 281 - Texas Instruments TI-83-Plus | User Manual - Page 285
addition) returns a matrix. It multiplies rowA of matrix by value, adds it to rowB, and stores the results in rowB. ärow+(value,matrix,rowA,rowB) TI-83 Plus Matrices 282 - Texas Instruments TI-83-Plus | User Manual - Page 286
Sequence Getting Started is a fast-paced introduction. Read the chapter for details. Calculate the first eight terms of the sequence 1/A2. Store the results to a usercreated seq( to the current cursor location. 3. Press 1 ¥ ƒ [A] ¡ ¢ ƒ [A] ¢ 1 ¢ 8 ¢ 1 ¤ to enter the sequence. TI-83 Plus Lists 283 - Texas Instruments TI-83-Plus | User Manual - Page 287
paste ÙSEQ1 to the current cursor location. (If SEQ1 is not item 7 on your LIST NAMES menu, move the cursor to SEQ1 before you press Í.) TI-83 Plus Lists 284 - Texas Instruments TI-83-Plus | User Manual - Page 288
7. Press to display the MATH menu. Press 1 to select 1:4Frac, which pastes 4Frac to the current cursor location. 8. Press Í to show the sequence in fraction form. Press ~ repeatedly (or press and hold ~) to scroll the list and view all the list elements. TI-83 Plus Lists 285 - Texas Instruments TI-83-Plus | User Manual - Page 289
Naming Lists Using TI-83 Plus List Names L1 through L6 The TI-83 Plus has six list names in memory: L1, L2, L3, L4, L5, and L6. The list names L1 through , complex numbers, or expressions. 2. Press ¿. 3. Press ƒ [letter from A to Z or q] to enter the first letter of the name. TI-83 Plus Lists 286 - Texas Instruments TI-83-Plus | User Manual - Page 290
:, Freq2:, XList:, or YList: prompt in the inferential stat editors • On the home screen using SetUpEditor You can create as many list names as your TI-83 Plus memory has space to store. TI-83 Plus Lists 287 - Texas Instruments TI-83-Plus | User Manual - Page 291
indicates that the list continues beyond the viewing window. Press ~ repeatedly (or press and hold ~) to scroll the list and view all the list elements. TI-83 Plus Lists 288 - Texas Instruments TI-83-Plus | User Manual - Page 292
MANAGEMENT/DELETE secondary menu (Chapter 18). Resetting memory restores L1 through L6. Removing a list from the stat list editor does not delete it from memory. TI-83 Plus Lists 289 - Texas Instruments TI-83-Plus | User Manual - Page 293
Using Lists in Graphing You can use lists to graph a family of curves (Chapter 3). TI-83 Plus Lists 290 - Texas Instruments TI-83-Plus | User Manual - Page 294
. • The list name symbol Ù precedes a list name when the name is pasted where non-list name data also is valid, such as the home screen. TI-83 Plus Lists 291 - Texas Instruments TI-83-Plus | User Manual - Page 295
always necessary. Note: You also can paste Ù to the current cursor location from the CATALOG (Chapter 15). 3. Enter the characters that comprise the list name. TI-83 Plus Lists 292 - Texas Instruments TI-83-Plus | User Manual - Page 296
example, the first screen below shows that elements are stored to L3, and the formula L3+10 is attached to the list name ÙADD10. The quotation marks designate the formula to be attached to ÙADD10. Each element of ÙADD10 is the sum of an element in L3 and 10. TI-83 Plus Lists 293 - Texas Instruments TI-83-Plus | User Manual - Page 297
, L6!L3(1):L3 changes the first element in L3 to L6, and then redisplays L3. The last screen shows that editing L3 updated ÙADD10, but did not change L4. This is because the formula L3+10 is name from a blank line on the home screen or from a program, follow these steps. TI-83 Plus Lists 294 - Texas Instruments TI-83-Plus | User Manual - Page 298
must have the same dimension. 2. Press ¿. 3. Enter the name of the list to which you want to attach the formula. • Press y, and then enter a TI-83 Plus list name L1 through L6. • Press y 9 and select a user.created list name from the LIST NAMES menu. • Enter a user.created list name directly using - Texas Instruments TI-83-Plus | User Manual - Page 299
of a list to which a formula is attached. • Use the stat list editor (Chapter 12). • Use ClrList or ClrAllList to detach a formula from a list (Chapter 18). TI-83 Plus Lists 296 - Texas Instruments TI-83-Plus | User Manual - Page 300
: You must paste user-created list names to the Rcl prompt by selecting them from the LIST NAMES menu. You cannot enter them directly using Ù. TI-83 Plus Lists 297 - Texas Instruments TI-83-Plus | User Manual - Page 301
must be valid for every element in the list. In graphing, an invalid element, such as L1 in ‡({1,0,L1}), is ignored. This returns an error. This graphs Xä‡(1) and Xä‡(0), but skips Xä‡(L1). • When you use -argument function, the value is used with each element in the list. TI-83 Plus Lists 298 - Texas Instruments TI-83-Plus | User Manual - Page 302
elements from low to high values. SortD( (sort descending) sorts list elements from high to low values. Complex lists are sorted based on magnitude (modulus). TI-83 Plus Lists 299 - Texas Instruments TI-83-Plus | User Manual - Page 303
likewise, 1 becomes the second element of L5. Note: SortA( and SortD( are the same as SortA( and SortD( on the STAT EDIT menu (Chapter 12). TI-83 Plus Lists 300 - Texas Instruments TI-83-Plus | User Manual - Page 304
the new dimension are not changed. • Extra list elements are filled by 0. • Elements in the old list that are outside the new dimension are deleted. TI-83 Plus Lists 301 - Texas Instruments TI-83-Plus | User Manual - Page 305
be defined in memory. increment can be negative; the default value for increment is 1. seq( is not valid within expression. Complex lists are not valid. TI-83 Plus Lists 302 - Texas Instruments TI-83-Plus | User Manual - Page 306
so on. The list of differences is always one element shorter than the original list. list elements can be a real or complex numbers. @List(list) TI-83 Plus Lists 303 - Texas Instruments TI-83-Plus | User Manual - Page 307
plot, select " (scatter plot) or Ó (xyLine), and enter the two list names for Xlist: and Ylist: (Chapter 12). 3. Use ZoomStat to plot the data (Chapter 3). TI-83 Plus Lists 304 - Texas Instruments TI-83-Plus | User Manual - Page 308
which you want the selected data to be stored. 3. Press Í. The graph screen is displayed with Left Bound? in the bottom-left corner. 4. Press } or † (if more than one stat plot is selected) to move the cursor onto the stat plot from which you want to select data points. TI-83 Plus Lists 305 - Texas Instruments TI-83-Plus | User Manual - Page 309
data point that you want as the left bound. 6. Press Í. A 4 indicator on the graph screen shows the left bound. Right Bound? is displayed in the bottom-left corner. 7. Press | or ~ to move the cursor to the stat plot point that you want for the right bound, and then press Í. TI-83 Plus Lists 306 - Texas Instruments TI-83-Plus | User Manual - Page 310
x-value must be true. augment( augment( concatenates the elements of listA and listB. The list elements can be real or complex numbers. augment(listA,listB) TI-83 Plus Lists 307 - Texas Instruments TI-83-Plus | User Manual - Page 311
. Likewise, if the number of columns in matrix exceeds the number of listname arguments, then Matr4list( ignores extra matrix columns. Matr4list(matrix,listname1,listname2, . . . ,listname n) TI-83 Plus Lists 308 - Texas Instruments TI-83-Plus | User Manual - Page 312
a user-created list name when you enter a user-created list name where other input is valid, for example, on the home screen. Without the Ù, the TI-83 Plus may misinterpret a usercreated list name as implied multiplication of two or more characters - Texas Instruments TI-83-Plus | User Manual - Page 313
in the stat list editor or the Xlist: and Ylist: prompts in the stat plot editor. If you enter Ù where it is not necessary, the TI-83 Plus will ignore the entry. TI-83 Plus Lists 310 - Texas Instruments TI-83-Plus | User Manual - Page 314
smaller or larger of each pair of elements in listA and listB. For a complex list, the element with smallest or largest magnitude (modulus) is returned. TI-83 Plus Lists 311 - Texas Instruments TI-83-Plus | User Manual - Page 315
freqlist element counts the number of consecutive occurrences of the corresponding element in list. Complex lists are not valid. mean(list[,freqlist]) median(list[,freqlist]) TI-83 Plus Lists 312 - Texas Instruments TI-83-Plus | User Manual - Page 316
(list[,start,end]) Sums and Products of Numeric Sequences You can combine sum( or prod( with seq( to obtain: upper G expression(x) x=lower upper ∏ expression(x) x=lower TI-83 Plus Lists 313 - Texas Instruments TI-83-Plus | User Manual - Page 317
freqlist element counts the number of consecutive occurrences of the corresponding element in list. Complex lists are not valid. stdDev(list[,freqlist]) variance(list[,freqlist]) TI-83 Plus Lists 314 - Texas Instruments TI-83-Plus | User Manual - Page 318
*This example is quoted and adapted from Contemporary Precalculus Through Applications, by the North Carolina School of Science and Mathematics, by permission of Janson Publications, Inc., Dedham, MA. 1-800-322-MATH. © 1992. All rights reserved. TI-83 Plus Statistics 315 - Texas Instruments TI-83-Plus | User Manual - Page 319
1. Press z to set Func graphing mode. 2. Press ... 5 to select 5:SetUpEditor. SetUpEditor is pasted to the home screen. Press Í. This removes lists from stat list editor moves to the next row. Repeat this step to enter each of the 12 string length values in the table. TI-83 Plus Statistics 316 - Texas Instruments TI-83-Plus | User Manual - Page 320
(Chapter 3). As necessary, press †, |, and Í to deselect functions. 7. Press y , 1 to select 1:Plot1 from the STAT PLOTS menu. The stat plot editor is displayed for plot 1. TI-83 Plus Statistics 317 - Texas Instruments TI-83-Plus | User Manual - Page 321
-versus-length data appears to be approximately linear, fit a line to the data. 10. Press ... ~ 4 to select 4:LinReg(ax+b) (linear regression model) from the STAT CALC menu. LinReg(ax+b) is pasted to the home screen. TI-83 Plus Statistics 318 - Texas Instruments TI-83-Plus | User Manual - Page 322
are displayed on the home screen. The linear regression equation is stored in Y1. Residuals are calculated and stored automatically in the list name RESID, which becomes an item on the LIST NAMES menu . However, a residual plot may provide more information about this fit. TI-83 Plus Statistics 319 - Texas Instruments TI-83-Plus | User Manual - Page 323
, press † to move the cursor onto the list name RESID. 16. Press Í to select RESID and paste it to the stat list editor's Name= prompt. TI-83 Plus Statistics 320 - Texas Instruments TI-83-Plus | User Manual - Page 324
four are negative. The latter correspond to the longer string lengths in L1. Plotting the residuals will show this pattern more clearly. 18. Press y , 2 to select 2:Plot2 from the STAT PLOTS menu Press † Í to select › as the mark for each data point on the scatter plot. TI-83 Plus Statistics 321 - Texas Instruments TI-83-Plus | User Manual - Page 325
. 22. Press o to display the Y= editor. Press ' to clear the linear regression equation from Y1. Press } Í to turn on plot 1. Press ~ Í to turn off plot 2. TI-83 Plus Statistics 322 - Texas Instruments TI-83-Plus | User Manual - Page 326
[A] to select A:PwrReg from the STAT CALC menu. PwrReg is pasted to the home calculate the power regression. Values for a and b are displayed on the home screen. The power regression equation is stored in Y1. Residuals are calculated and stored automatically in the list name RESID. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 327
the ZOOM menu. The window variables are adjusted automatically, and plot 2 is displayed. This is a scatter plot of the residuals. The new residual plot shows that the residuals are random in sign, with the residuals increasing in magnitude as the string length increases. TI-83 Plus Statistics 324 - Texas Instruments TI-83-Plus | User Manual - Page 328
these steps. 30. Press ~ 1 to display the VARS Y.VARS FUNCTION secondary menu, and then press 1 to select 1:Y1. Y1 is pasted to the home screen. TI-83 Plus Statistics 325 - Texas Instruments TI-83-Plus | User Manual - Page 329
31. Press £ 20 ¤ to enter a string length of 20 cm. Press Í to calculate the predicted time of about 0.92 seconds. Based on the residual analysis, we would expect the prediction of about 0.92 seconds to be within about 0.02 seconds of the actual value. TI-83 Plus Statistics 326 - Texas Instruments TI-83-Plus | User Manual - Page 330
Last Entry. Press | | | 5 to change the string length to 50 cm. 33. Press Í to calculate the predicted time of about 1.48 seconds. Since a string length of 50 cm exceeds the lengths in the data table with the TABLE SETUP settings Indpnt:Ask and Depend:Auto (Chapter 7). TI-83 Plus Statistics 327 - Texas Instruments TI-83-Plus | User Manual - Page 331
for details. 1. Enter the statistical data into one or more lists. 2. Plot the data. 3. Calculate the statistical variables or fit a model to the data. 4. Graph the regression equation for the plotted data. 5. Graph the residuals list for the given regression model. TI-83 Plus Statistics 328 - Texas Instruments TI-83-Plus | User Manual - Page 332
up to seven elements of up to three lists; it abbreviates values when necessary. The entry line displays the full value of the current element. TI-83 Plus Statistics 329 - Texas Instruments TI-83-Plus | User Manual - Page 333
all 20 columns, you must remove a list name to make room for an unnamed column. The Name= prompt is displayed and alpha-lock is on. TI-83 Plus Statistics 330 - Texas Instruments TI-83-Plus | User Manual - Page 334
list editor column, then the list and its elements, if any, move to the current column from the previous column. Remaining list names shift accordingly. TI-83 Plus Statistics 331 - Texas Instruments TI-83-Plus | User Manual - Page 335
from memory, use the MEMORY MANAGEMENT/ DELETE secondary menu (Chapter 18). Note 2: If you archive a list, it will be removed from the stat list editor. TI-83 Plus Statistics 332 - Texas Instruments TI-83-Plus | User Manual - Page 336
the program editor, enter 0!dim(listname) to set the dimension of listname to 0 (Chapter 11). • Use ClrAllLists to clear all lists in memory (Chapter 18). TI-83 Plus Statistics 333 - Texas Instruments TI-83-Plus | User Manual - Page 337
you want to delete, and then press { to delete the character. To cancel any editing and restore the original element at the rectangular cursor, press ' Í. TI-83 Plus Statistics 334 - Texas Instruments TI-83-Plus | User Manual - Page 338
, the stored value is displayed as a list element. When you edit a list element in the stat list editor, the list is updated in memory immediately. TI-83 Plus Statistics 335 - Texas Instruments TI-83-Plus | User Manual - Page 339
can attach a formula to a list name in the stat list editor, and then display and edit the calculated list elements. When executed, the attached formula must resolve to a list. Chapter 11 describes in detail the . To edit the formula, press Í, and then edit the formula. TI-83 Plus Statistics 336 - Texas Instruments TI-83-Plus | User Manual - Page 340
. Note: Any user-created list name referenced in a formula must be preceded by an Ù symbol (Chapter 11). 5. Press Í. The TI-83 Plus calculates each list element and stores it to the list name to which the formula is attached. A lock symbol is displayed in the stat list editor, - Texas Instruments TI-83-Plus | User Manual - Page 341
11). When a list with a formula attached is displayed in the stat list editor and you edit or enter elements of another displayed list, then the TI-83 Plus takes slightly longer to accept each edit or entry than when no lists with formulas attached are in view. Tip: To speed editing time, scroll - Texas Instruments TI-83-Plus | User Manual - Page 342
edit the source of the error. To edit an element of a list on the home screen, store the new value to listname(element#) (Chapter 11). TI-83 Plus Statistics 339 - Texas Instruments TI-83-Plus | User Manual - Page 343
elements of all lists in memory are cleared, all formulas are detached from all list names, and all lock symbols disappear. All list names remain. TI-83 Plus Statistics 340 - Texas Instruments TI-83-Plus | User Manual - Page 344
above, one way to detach a formula from a list name is to edit an element of the list to which the formula is attached. The TI-83 Plus protects against inadvertently detaching the formula from the list name by editing an element of the formula-generated list. Because of the protection feature, you - Texas Instruments TI-83-Plus | User Manual - Page 345
any element in a list. All elements of the current list are displayed in braces ( { } )in the entry line. Press ~ and | to view more list elements. TI-83 Plus Statistics 342 - Texas Instruments TI-83-Plus | User Manual - Page 346
press y 6. You are now in enter-name context. 6. Press '. You are now in view-names context. 7. Press †. You are now back in view-elements context. TI-83 Plus Statistics 343 - Texas Instruments TI-83-Plus | User Manual - Page 347
the default value for a new element. Edit-Elements Context In edit-elements context, the data displayed in the entry line depends on the previous context. TI-83 Plus Statistics 344 - Texas Instruments TI-83-Plus | User Manual - Page 348
in the list. & Note: In edit-elements context, you can attach a formula to a list name only if you switched to it from view-names context. TI-83 Plus Statistics 345 - Texas Instruments TI-83-Plus | User Manual - Page 349
from the keyboard, or paste an existing list name from the LIST NAMES menu (Chapter 11). The Ù symbol is not required at the Name= prompt. TI-83 Plus Statistics 346 - Texas Instruments TI-83-Plus | User Manual - Page 350
To leave enter-name context without entering a list name, press '. The stat list editor switches to view-names context. TI-83 Plus Statistics 347 - Texas Instruments TI-83-Plus | User Manual - Page 351
STAT EDIT Menu STAT EDIT Menu To display the STAT EDIT menu, press .... EDIT CALC TESTS 1:Edit... 2:SortA( 3:SortD( 4:ClrList 5:SetUpEditor Displays the stat list editor. Sorts a list in SortA( and SortD( sort the elements in listname and update the list in memory. TI-83 Plus Statistics 348 - Texas Instruments TI-83-Plus | User Manual - Page 352
detaches any formula attached to a listname. ClrList listname1,listname2,...,listname n Note: To clear from memory all elements of all list names, use ClrAllLists (Chapter 18). TI-83 Plus Statistics 349 - Texas Instruments TI-83-Plus | User Manual - Page 353
a listname that is not stored in memory already, then listname is created and stored in memory; it becomes an item on the LIST NAMES menu. TI-83 Plus Statistics 350 - Texas Instruments TI-83-Plus | User Manual - Page 354
Restoring L1 through L6 to the Stat List Editor SetUpEditor with no listnames removes all list names from the stat list editor and restores list names L1 through L6 in the stat list editor columns 1 through 6. TI-83 Plus Statistics 351 - Texas Instruments TI-83-Plus | User Manual - Page 355
Regression Model Features Regression Model Features STAT CALC menu items 3 through C are regression models. The name RESID. RESID becomes an item on the LIST NAMES menu (Chapter 11). The TI-83 Plus uses the formula below to compute RESID list elements. The next section describes the variable - Texas Instruments TI-83-Plus | User Manual - Page 356
Y= variable and the Y= function is selected. Regardless of whether you specify a Y= variable for regequ, the regression equation always is stored to the TI-83 Plus variable RegEQ, which is item 1 on the VARS Statistics EQ secondary menu. Note: For the regression equation, you can use the fixed - Texas Instruments TI-83-Plus | User Manual - Page 357
Diagnostics Display Mode When you execute some regression models, the TI-83 Plus computes and stores diagnostics values for r (correlation coefficient) mode by executing the DiagnosticOn or DiagnosticOff instruction. Each instruction is in the CATALOG (Chapter 15). TI-83 Plus Statistics 354 - Texas Instruments TI-83-Plus | User Manual - Page 358
The instruction is pasted to the home screen. Press Í to set the mode. When DiagnosticOn is set, diagnostics are displayed with the results when you execute a regression model. When DiagnosticOff is set, diagnostics are not displayed with the results when you execute a regression model. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 359
a logistic model to data. Fits a sinusoidal model to data. For each STAT CALC menu item, if neither Xlistname nor Ylistname is specified, then the default list names are L1 and L2. If you do not specify freqlist, then the default is 1 occurrence of each list element. TI-83 Plus Statistics 356 - Texas Instruments TI-83-Plus | User Manual - Page 360
data point or data pair occurs in the data set you are analyzing. For example, if L1={15,12,9,14} and ÙFREQ={1,4,1,3}, then the TI-83 Plus interprets the instruction 1.Var Stats L1, ÙFREQ to mean that 15 occurs once, 12 occurs four times, 9 occurs once, and 14 occurs three times. Each element in - Texas Instruments TI-83-Plus | User Manual - Page 361
-median) fits the model equation y=ax+b to the data using the median-median line (resistant line) technique, calculating the summary points x1, y1, x2, y2, x3, and y3. Med.Med displays values for a (slope) and b (y-intercept). Med.Med [Xlistname,Ylistname,freqlist,regequ] TI-83 Plus Statistics 358 - Texas Instruments TI-83-Plus | User Manual - Page 362
a value for R2. For four points, the equation is a polynomial fit; for five or more, it is a polynomial regression. At least four points are required. TI-83 Plus Statistics 359 - Texas Instruments TI-83-Plus | User Manual - Page 363
using a least-squares fit and transformed values ln(x) and y. It displays values for a and b; when DiagnosticOn is set, it also displays values for r2 and r. TI-83 Plus Statistics 360 - Texas Instruments TI-83-Plus | User Manual - Page 364
) Logistic fits the model equation y=c/(1+aäeLbx) to the data using an iterative least-squares fit. It displays values for a, b, and c. Logistic [Xlistname,Ylistname,freqlist,regequ] TI-83 Plus Statistics 361 - Texas Instruments TI-83-Plus | User Manual - Page 365
differences between time values in Xlistname can be unequal. Note: The output of SinReg is always in radians, regardless of the Radian/Degree mode setting. TI-83 Plus Statistics 362 - Texas Instruments TI-83-Plus | User Manual - Page 366
data and trace to determine the x-distance between the beginning and end of one complete period, or cycle. The illustration above and to the right graphically depicts a complete period, or cycle. TI-83 Plus Statistics 363 - Texas Instruments TI-83-Plus | User Manual - Page 367
approximately correct, but not optimal. For an optimal fit, execute SinReg 16,Xlistname,Ylistname,2p / b where b is the value obtained from the previous SinReg execution. TI-83 Plus Statistics 364 - Texas Instruments TI-83-Plus | User Manual - Page 368
Statistical Variables The statistical variables are calculated and stored as indicated below. To access these variables for use in expressions, press , and select 5:Statistics. Then Gx2 Sx sx n w Gy Gy2 Sy sy Gxy minX Other VARS menu XY G G XY XY XY XY G G XY XY G XY TI-83 Plus Statistics 365 - Texas Instruments TI-83-Plus | User Manual - Page 369
quartile (Q1) is the median of points between minX and Med (median). The third quartile (Q3) is the median of points between Med and maxX. TI-83 Plus Statistics 366 - Texas Instruments TI-83-Plus | User Manual - Page 370
, select the type of calculation from the STAT CALC menu. 2. Enter the names of the lists to use in the calculation. Separate the list names with a comma. 3. Enter a comma and then the name of a Y= variable, if you want to store the regression equation to a Y= variable. TI-83 Plus Statistics 367 - Texas Instruments TI-83-Plus | User Manual - Page 371
or deselect Y= functions as appropriate. 3. Define the stat plot. 4. Turn on the plots you want to display. 5. Define the viewing window. 6. Display and explore the graph. TI-83 Plus Statistics 368 - Texas Instruments TI-83-Plus | User Manual - Page 372
" (Scatter) Scatter plots plot the data points from Xlist and Ylist as coordinate pairs, showing each point as a box ( › ), cross ( + ), or dot ( ¦ ). Xlist and Ylist must be the same length. You can may want to use SortA( or SortD( to sort the lists before you plot them. TI-83 Plus Statistics 369 - Texas Instruments TI-83-Plus | User Manual - Page 373
Q1.) These points are plotted individually beyond the whisker, using the Mark (› or + or ¦) you select. You can trace these points, which are called outliers. TI-83 Plus Statistics 370 - Texas Instruments TI-83-Plus | User Manual - Page 374
the first quartile (Q1) and from the third quartile (Q3) to the maximum point (maxX). The box is defined by Q1, Med (median), and Q3. TI-83 Plus Statistics 371 - Texas Instruments TI-83-Plus | User Manual - Page 375
are normal. Enter a valid list name in the Data List field. Select X or Y for the Data Axis setting. • If you select X, the TI-83 Plus plots the data on the x-axis and the z-values on the y-axis. • If you select Y, the TI-83 Plus plots the data on the y-axis and the z-values on the x-axis - Texas Instruments TI-83-Plus | User Manual - Page 376
Defining the Plots To define a plot, follow these steps. 1. Press y ,. The STAT PLOTS menu is displayed with the current plot definitions. 2. Select the plot you want to use. The stat plot editor is displayed for the plot you selected. TI-83 Plus Statistics 373 - Texas Instruments TI-83-Plus | User Manual - Page 377
œ œ œ œ œ œ œ œ œ œ 5. Enter list names or select options for the plot type. • Xlist (list name containing independent data) • Ylist (list name containing dependent data) • Mark (› or + or ¦) TI-83 Plus Statistics 374 - Texas Instruments TI-83-Plus | User Manual - Page 378
plots and PlotsOff turns off all plots. With one or more plot numbers (1, 2, and 3), PlotsOn turns on specified plots, and PlotsOff turns off specified plots. TI-83 Plus Statistics 375 - Texas Instruments TI-83-Plus | User Manual - Page 379
line of the Y= editor (Chapter 3). Defining the Viewing Window Stat plots are displayed on the current graph. To define the viewing window, press p and enter values for the window variables. ZoomStat redefines the the top center of the next, starting at the first column. TI-83 Plus Statistics 376 - Texas Instruments TI-83-Plus | User Manual - Page 380
format setting applies to stat plots (Chapter 3). When ExprOn is selected, the plot number and plotted data lists are displayed in the top-left corner. TI-83 Plus Statistics 377 - Texas Instruments TI-83-Plus | User Manual - Page 381
Plot in a Program To display a stat plot from a program, define the plot, and then display the graph. To define a stat plot from a program, begin on a blank line in the program editor and enter plot to define, which pastes Plot1(, Plot2(, or Plot3( to the cursor location. TI-83 Plus Statistics 378 - Texas Instruments TI-83-Plus | User Manual - Page 382
or 5:Boxplot in step 4.) Select the type of mark (› or + or ¦) for each data point. The selected mark symbol is pasted to the cursor location. TI-83 Plus Statistics 379 - Texas Instruments TI-83-Plus | User Manual - Page 383
7. Press ¤ Í to complete the command line. Displaying a Stat Plot from a Program To display a plot from a program, use the DispGraph instruction (Chapter 16) or any of the ZOOM instructions (Chapter 3). TI-83 Plus Statistics 380 - Texas Instruments TI-83-Plus | User Manual - Page 384
) of Each of 10 Women 169.43 168.33 159.55 169.97 159.79 181.42 171.17 162.04 167.15 159.53 TI-83 Plus Inferential Statistics and Distributions 381 - Texas Instruments TI-83-Plus | User Manual - Page 385
, it is displayed on the bottom line. Press Í. The value is displayed in the first row, and the rectangular cursor moves to the next row. TI-83 Plus Inferential Statistics and Distributions 382 - Texas Instruments TI-83-Plus | User Manual - Page 386
Press † † Ë 99 to enter a 99 percent confidence level at the C.Level: prompt. 6. Press † to move the cursor onto Calculate, and then press Í. The confidence interval is calculated, and the TInterval results are displayed on the home screen. TI-83 Plus Inferential Statistics and Distributions 383 - Texas Instruments TI-83-Plus | User Manual - Page 387
calculated from the larger random sample. This time, use the Stats (summary statistics) input option. 7. Press ... | 8 to display the inferential stat editor for TInterval. Press ~ Í to select Inpt:Stats. The editor changes so that you can enter summary statistics as input. TI-83 Plus Inferential - Texas Instruments TI-83-Plus | User Manual - Page 388
Press 90 Í to store 90 to n. 9. Press † to move the cursor onto Calculate, and then press Í to calculate the new 99 percent confidence interval. The results are displayed on the home screen. If y = to display the DISTR (distributions) menu. TI-83 Plus Inferential Statistics and Distributions 385 - Texas Instruments TI-83-Plus | User Manual - Page 389
175.5 centimeters. Now graph and shade the top 5 percent of the population. 12. Press p and set the window variables to these values. Xmin=145 Xmax=185 Xscl=5 Ymin=L.02 Ymax=.08 Yscl=0 Xres=1 13. Press y = ~ to display the DISTR DRAW menu. TI-83 Plus Inferential Statistics and Distributions - Texas Instruments TI-83-Plus | User Manual - Page 390
Í to plot and shade the normal curve. Area is the area above the 95th percentile. low is the lower bound. up is the upper bound. TI-83 Plus Inferential Statistics and Distributions 387 - Texas Instruments TI-83-Plus | User Manual - Page 391
. Below is the inferential stat editor for T-Test. Note: When you select the ANOVA( instruction, it is pasted to the home screen. ANOVA( does not have an editor screen. Using the selection is available. The appropriate editor is displayed. TI-83 Plus Inferential Statistics and Distributions 388 - Texas Instruments TI-83-Plus | User Manual - Page 392
displayed in a graph. This chapter describes the selections in the above steps for each hypothesis test and confidence interval instruction. Select Data or Stats input Enter values for arguments Select an alternative hypothesis Select Calculate or Draw output TI-83 Plus Inferential Statistics - Texas Instruments TI-83-Plus | User Manual - Page 393
do not know what a particular argument symbol represents, see the Inferential Statistics Input Descriptions tables. When you enter values in any inferential stat editor, the TI-83 Plus stores them in memory so that you can run many tests or intervals without having to reenter every value - Texas Instruments TI-83-Plus | User Manual - Page 394
for the calculation. • Select No if you do not want the variances pooled. Population variances can be unequal. • Select Yes if you want the variances pooled. Population variances are assumed to be equal. To select the Pooled option, move the cursor to Yes, and then press Í. TI-83 Plus Inferential - Texas Instruments TI-83-Plus | User Manual - Page 395
inferential stat editor for a confidence interval, select Calculate to display the results. The Draw option is not available. When you press Í, Calculate calculates the confidence interval results and displays the outputs on the home screen. TI-83 Plus Inferential Statistics and Distributions 392 - Texas Instruments TI-83-Plus | User Manual - Page 396
and confidence interval instruction. Note: You can paste a hypothesis test or confidence interval instruction to a command line in a program. From within the program editor, select the instruction from either the CATALOG (Chapter 15) or the STAT TESTS menu. TI-83 Plus Inferential Statistics and - Texas Instruments TI-83-Plus | User Manual - Page 397
Most STAT TESTS instructions store some output variables to memory. For a list of these variables, see the Test and Interval Output Variables table. EDIT CALC TESTS 1: of 2 proportions Chi-square test for 2-way tables Test comparing 2 s's TI-83 Plus Inferential Statistics and Distributions 394 - Texas Instruments TI-83-Plus | User Manual - Page 398
. • Descriptions of instructions that offer the Calculate/Draw output choice show both types of screens: calculated and graphic results. • Descriptions of instructions that offer only the Calculate output choice show the calculated results on the home screen. TI-83 Plus Inferential Statistics and - Texas Instruments TI-83-Plus | User Manual - Page 399
the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) In the example: L1={299.4 297.7 301 298.9 300.2 297} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 396 - Texas Instruments TI-83-Plus | User Manual - Page 400
Calculated results: Drawn results: Data , Stats , Note: All STAT TESTS examples assume a fixed-decimal mode setting of 4 (Chapter H0: m=m0 against one of the alternatives below. • Ha: mƒm0 (m:ƒm0) • Ha: mm0) TI-83 Plus Inferential Statistics and Distributions 397 - Texas Instruments TI-83-Plus | User Manual - Page 401
In the example: TEST={91.9 97.8 111.4 122.3 105.4 95} Data Input: , Calculated results: , Drawn results: Stats , , TI-83 Plus Inferential Statistics and Distributions 398 - Texas Instruments TI-83-Plus | User Manual - Page 402
(m1:m2 (m1:>m2) In the example: LISTA={154 109 137 115 140} LISTB={108 115 126 92 146} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 399 - Texas Instruments TI-83-Plus | User Manual - Page 403
Calculated results: , , Drawn results: 2.SampTTest 2.SampTTest (two-sample t test; item 4) tests the equality of the means of two populations (m1 of the alternatives below. • Ha: m1ƒm2 (m1:ƒm2) • Ha: m1m2) TI-83 Plus Inferential Statistics and Distributions 400 - Texas Instruments TI-83-Plus | User Manual - Page 404
In the example: SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} Data Stats Input: , , Calculated results: , , TI-83 Plus Inferential Statistics and Distributions 401 - Texas Instruments TI-83-Plus | User Manual - Page 405
H0: prop=p0 against one of the alternatives below. • Ha: propƒp0 (prop:ƒp0) • Ha: propp0) Input: , TI-83 Plus Inferential Statistics and Distributions 402 - Texas Instruments TI-83-Plus | User Manual - Page 406
Calculated results: , Drawn results: 2.PropZTest 2.PropZTest (two-proportion z test; item 6) computes a test to compare the proportion of successes (p1 of the alternatives below. • Ha: p1ƒp2 (p1:ƒp2) • Ha: p1p2) TI-83 Plus Inferential Statistics and Distributions 403 - Texas Instruments TI-83-Plus | User Manual - Page 407
Input: , Calculated results: , Drawn results: TI-83 Plus Inferential Statistics and Distributions 404 - Texas Instruments TI-83-Plus | User Manual - Page 408
known. The computed confidence interval depends on the user-specified confidence level. In the example: L1={299.4 297.7 301 298.9 300.2 297} Data Stats Input: , , Calculated results: TI-83 Plus Inferential Statistics and Distributions 405 - Texas Instruments TI-83-Plus | User Manual - Page 409
m when the population standard deviation s is unknown. The computed confidence interval depends on the user-specified confidence level. In the example: L6={1.6 1.7 1.8 1.9} Data Stats Input: , , Calculated results: TI-83 Plus Inferential Statistics and Distributions 406 - Texas Instruments TI-83-Plus | User Manual - Page 410
depends on the user-specified confidence level. In the example: LISTC={154 109 137 115 140} LISTD={108 115 126 92 146} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 407 - Texas Instruments TI-83-Plus | User Manual - Page 411
Calculated results: 2.SampTInt 2.SampTInt (two-sample t confidence interval; item 0) computes a confidence interval for the difference between two population means 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} TI-83 Plus Inferential Statistics and Distributions 408 - Texas Instruments TI-83-Plus | User Manual - Page 412
Data Input: , Calculated results: Stats , TI-83 Plus Inferential Statistics and Distributions 409 - Texas Instruments TI-83-Plus | User Manual - Page 413
of successes in the sample x and the count of observations in the sample n. The computed confidence interval depends on the user-specified confidence level. Input: , Calculated results: TI-83 Plus Inferential Statistics and Distributions 410 - Texas Instruments TI-83-Plus | User Manual - Page 414
and x2) and the count of observations in each sample (n1 and n2). The computed confidence interval depends on the user-specified confidence level. Input: , Calculated results: TI-83 Plus Inferential Statistics and Distributions 411 - Texas Instruments TI-83-Plus | User Manual - Page 415
name to which you want the computed expected counts to be stored; default=[B]. Matrix editor: Note: Press y Ž ~ ~ 1 to select 1:[A] from the MATRX EDIT menu. Input: TI-83 Plus Inferential Statistics and Distributions 412 - Texas Instruments TI-83-Plus | User Manual - Page 416
, Note: Press y Ž [B] Í to display matrix [B]. Calculated results: , Drawn results: TI-83 Plus Inferential Statistics and Distributions 413 - Texas Instruments TI-83-Plus | User Manual - Page 417
>s2 (s1:>s2) In the example: SAMP4={ SAMP5={ 7 L4 18 17 L3 L5 1 10 11L2} L1 12 L1 L3 3 L5 5 2L11 L1L3} Data Stats Input: , , TI-83 Plus Inferential Statistics and Distributions 414 - Texas Instruments TI-83-Plus | User Manual - Page 418
Calculated results: , , Drawn results: LinRegTTest LinRegTTest (linear regression t test; item E) computes a against one of the alternatives below. • Ha: bƒ0 and rƒ0 (b & r:ƒ0) • Ha: b0) TI-83 Plus Inferential Statistics and Distributions 415 - Texas Instruments TI-83-Plus | User Manual - Page 419
equation is stored to Y1, which is then selected (turned on). In the example: L3={ L4={ 38 56 59 6474} 41 63 70 7284} Input: , Calculated results: TI-83 Plus Inferential Statistics and Distributions 416 - Texas Instruments TI-83-Plus | User Manual - Page 420
: m1=m2=...=mk is tested against the alternative Ha: not all m1...mk are equal. ANOVA(list1,list2[,...,list20]) In the example: L1={7 4 6 6 5} L2={6 5 5 8 7} L3={4 7 6 7 6} TI-83 Plus Inferential Statistics and Distributions 417 - Texas Instruments TI-83-Plus | User Manual - Page 421
Input: , Calculated results: Note: SS is sum of squares and MS is mean square. TI-83 Plus Inferential Statistics and Distributions 418 - Texas Instruments TI-83-Plus | User Manual - Page 422
List Freq Calculate/Draw v, Sx graph of the results. Summary statistics (mean, standard deviation, and sample size) for the one-sample tests and intervals. The known population standard deviation from the first population for the two-sample tests and intervals. Must be a real number > 0. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 423
to be pooled for 2.SampTTest and 2.SampTInt. No instructs the TI.83 not to pool the variances. Yes instructs the TI.83 to pool the variances. p0 The expected sample proportion for for the 2.PropZTest and 2.PropZInt. Must be an integer , 0. TI-83 Plus Inferential Statistics and Distributions 420 - Texas Instruments TI-83-Plus | User Manual - Page 424
> 0. The confidence level for the interval instructions. Must be , 0 and - Texas Instruments TI-83-Plus | User Manual - Page 425
Test and Interval Output Variables The inferential statistics variables are calculated as indicated below. To access these variables for use in expressions, press n1, n2 TEST TEST SxP SxP SxP TEST Ç Ç TEST Ç1 Ç1 TEST Ç2 Ç2 TEST TI-83 Plus Inferential Statistics and Distributions 422 - Texas Instruments TI-83-Plus | User Manual - Page 426
ANOVA lower, upper v Sx n s a, b r r2 RegEQ VARS Menu TEST XY XY XY TEST EQ EQ EQ EQ Note: The variables listed above cannot be archived. TI-83 Plus Inferential Statistics and Distributions 423 - Texas Instruments TI-83-Plus | User Manual - Page 427
cumulative density Note: L1å99 and 1å99 specify infinity. If you want to view the area left of upperbound, for example, specify lowerbound= L1å99. TI-83 Plus Inferential Statistics and Distributions 424 - Texas Instruments TI-83-Plus | User Manual - Page 428
normal distribution, you can set window variables Xmin and Xmax so that the mean m falls between them, and then select 0:ZoomFit from the ZOOM menu. TI-83 Plus Inferential Statistics and Distributions 425 - Texas Instruments TI-83-Plus | User Manual - Page 429
area under the normal distribution curve specified by mean m and standard deviation s. It calculates the x value associated with an area to the left of the x value. 0 area 1 must be true. The defaults are m=0 and s=1. invNorm(area[,m,s]) TI-83 Plus Inferential Statistics and Distributions 426 - Texas Instruments TI-83-Plus | User Manual - Page 430
= L4.5 Xmax = 4.5 Ymin = 0 Ymax = .4 tcdf( tcdf( computes the Student-t distribution probability between lowerbound and upperbound for the specified df (degrees of freedom), which must be > 0. TI-83 Plus Inferential Statistics and Distributions 427 - Texas Instruments TI-83-Plus | User Manual - Page 431
the Y= editor. The probability density function (pdf) is: f ( x) = 1 (1/2)df /2 xdf /2 − 1e − x/2,x ≥ 0 Γ(df /2) c2pdf(x,df) Note: For this example, Xmin = 0 Xmax = 30 Ymin = L.02 Ymax = .132 TI-83 Plus Inferential Statistics and Distributions 428 - Texas Instruments TI-83-Plus | User Manual - Page 432
the Y= editor. The probability density function (pdf) is: f (x) = Γ[(n + d )/2] Γ(n/2)Γ(d /2) n d n / 2 xn/2 − 1 (1 + nx/d ) − (n + d )/2,x ≥ 0 where n = numerator degrees of freedom d = denominator degrees of freedom TI-83 Plus Inferential Statistics and Distributions 429 - Texas Instruments TI-83-Plus | User Manual - Page 433
each trial. x can be an integer or a list of integers. 0p1 must be true. numtrials must be an integer > 0. If you do not specify x, a list of TI-83 Plus Inferential Statistics and Distributions 430 - Texas Instruments TI-83-Plus | User Manual - Page 434
a list of real numbers. 0p1 must be true. numtrials must be an integer > 0. If you do not specify x, a list of cumulative probabilities is returned. binomcdf(numtrials,p[,x]) TI-83 Plus Inferential Statistics and Distributions 431 - Texas Instruments TI-83-Plus | User Manual - Page 435
at x for the discrete Poisson distribution with the specified mean m, which must be a real number > 0. x can be a real number or a list of real numbers. poissoncdf(m,x) TI-83 Plus Inferential Statistics and Distributions 432 - Texas Instruments TI-83-Plus | User Manual - Page 436
occurs, for the discrete geometric distribution with the specified probability of success p. 0p1 must be true. x can be a real number or a list of real numbers. geometcdf(p,x) TI-83 Plus Inferential Statistics and Distributions 433 - Texas Instruments TI-83-Plus | User Manual - Page 437
1:ClrDraw from the DRAW menu (Chapter 8). Note: Before you execute a DISTR DRAW instruction, you must set the window variables so that the desired distribution fits the screen. DISTR of upperbound, for example, specify lowerbound=L1å99. TI-83 Plus Inferential Statistics and Distributions 434 - Texas Instruments TI-83-Plus | User Manual - Page 438
Ymax = .2 Shade_t( Shade_t( draws the density function for the Student-t distribution specified by df (degrees of freedom) and shades the area between lowerbound and upperbound. TI-83 Plus Inferential Statistics and Distributions 435 - Texas Instruments TI-83-Plus | User Manual - Page 439
(degrees of freedom) and shades the area between lowerbound and upperbound. Shadec2(lowerbound,upperbound,df) Note: For this example, Xmin = 0 Xmax = 35 Ymin = L.025 Ymax = .1 TI-83 Plus Inferential Statistics and Distributions 436 - Texas Instruments TI-83-Plus | User Manual - Page 440
df and shades the area between lowerbound and upperbound. ShadeÜ(lowerbound,upperbound,numerator df,denominator df) Note: For this example, Xmin = 0 Xmax = 5 Ymin = L.25 Ymax = .9 TI-83 Plus Inferential Statistics and Distributions 437 - Texas Instruments TI-83-Plus | User Manual - Page 441
for applications. Your TI-83 Plus includes Flash applications in addition to the ones mentioned above. Press Πto see the complete list of applications that came with your calculator. Documentation for TI Flash applications is on the TI Resource CD. Visit education.ti.com/guides for additional Flash - Texas Instruments TI-83-Plus | User Manual - Page 442
Steps for Running the Finance Application Follow these basic steps when using the Finance application. Select the Finance application. Press 9 b. Select from list of functions. TI-83 Plus Applications 439 - Texas Instruments TI-83-Plus | User Manual - Page 443
menu. 3. Press Í to select 1:TVM Solver from the CALC VARS menu. The TVM Solver is displayed. Press 48 Í to store 48 months to Ú. Press † 9000 Í to store 9,000 to PV. Press Ì 250 Í to store L250 to PMT. (Negation indicates cash outflow.) Press 0 Í to store 0 to FV. TI-83 Plus Applications 440 - Texas Instruments TI-83-Plus | User Manual - Page 444
due at the end of each period. 4. Press to move the cursor to the æ prompt. Press ƒ \ to solve for æ. What APR should you look for? TI-83 Plus Applications 441 - Texas Instruments TI-83-Plus | User Manual - Page 445
Note: Because there are no payments when you solve compound interest problems, PMT must be set to 0 and P/Y must be set Finance from the APPLICATIONS menu. 2. Press Í to select 1:TVM Solver from the CALC VARS menu. The TVM Solver is displayed. Press 7 to enter the number TI-83 Plus Applications 442 - Texas Instruments TI-83-Plus | User Manual - Page 446
3. Press } } } } } to place the cursor on the æ prompt. 4. Press ƒ \ to solve for æ, the annual interest rate. TI-83 Plus Applications 443 - Texas Instruments TI-83-Plus | User Manual - Page 447
and P/Y and C/Y. PMT: END BEGIN in the TVM Solver corresponds to the FINANCE CALC menu items Pmt_End (payment at the end of each period) and Pmt_Bgn (payment at TVM Solver. The screen below shows the default values with the fixed-decimal mode set to two decimal places. TI-83 Plus Applications 444 - Texas Instruments TI-83-Plus | User Manual - Page 448
is computed, displayed in the TVM Solver, and stored to the appropriate TVM variable. An indicator square in the left column designates the solution variable. TI-83 Plus Applications 445 - Texas Instruments TI-83-Plus | User Manual - Page 449
numbers and cash outflows (cash paid) as negative numbers. The TI-83 Plus follows this convention when computing and displaying answers. FINANCE CALC Menu To display the FINANCE CALC menu, press Œ Í. CALC VARS 1: TVM Solver... 2: tvm_Pmt 3: tvm_æ 4: tvm_PV 5: tvm_Ú 6: tvm_FV 7: npv( 8: irr - Texas Instruments TI-83-Plus | User Manual - Page 450
rate. Calculates the days between two dates. Selects ordinary annuity (end of period). Selects annuity due (beginning of period). Use these functions to set up and perform financial calculations on the home screen. TVM Solver TVM Solver displays the TVM Solver. TI-83 Plus Applications 447 - Texas Instruments TI-83-Plus | User Manual - Page 451
TVM) Calculating Time Value of Money Use time-value-of-money (TVM) functions (menu items 2 through 6) to analyze financial instruments such the FINANCE VARS menu. If you enter less than six arguments, the TI-83 Plus substitutes a previously stored TVM variable value for each unspecified argument. If - Texas Instruments TI-83-Plus | User Manual - Page 452
, the interest rate is changed to 9.5 to illustrate the effect on the payment amount. tvm_æ tvm_æ computes the annual interest rate. tvm_æ[(Ú,PV,PMT,FV,P/Y,C/Y)] TI-83 Plus Applications 449 - Texas Instruments TI-83-Plus | User Manual - Page 453
tvm_PV tvm_PV computes the present value. tvm_PV[(Ú,æ,PMT,FV,P/Y,C/Y)] tvm_Ú tvm_Ú computes the number of payment periods. tvm_Ú[(æ,PV,PMT,FV,P/Y,C/Y)] TI-83 Plus Applications 450 - Texas Instruments TI-83-Plus | User Manual - Page 454
tvm_FV tvm_FV computes the future value. tvm_FV[(Ú,æ,PV,PMT,P/Y,C/Y)] TI-83 Plus Applications 451 - Texas Instruments TI-83-Plus | User Manual - Page 455
Cash Flows Calculating a Cash Flow Use the cash flow functions (menu items 7 and 8) to analyze the value of money over equal time periods. must be positive integers < 10,000. For example, express this uneven cash flow in lists. 2000 2000 2000 4000 4000 - 3000 TI-83 Plus Applications 452 - Texas Instruments TI-83-Plus | User Manual - Page 456
interest rate at which the net present value of the cash flows is equal to zero. irr(CF0,CFList[,CFFreq]) 1000 0 5000 3000 - 2000 - 2500 TI-83 Plus Applications 453 - Texas Instruments TI-83-Plus | User Manual - Page 457
number of the payment at which you want to calculate a balance. It must be a positive integer < 10,000. roundvalue specifies the internal precision the calculator uses to calculate the balance; if you do not specify roundvalue, then the TI-83 Plus uses the current Float/Fix decimal-mode setting. bal - Texas Instruments TI-83-Plus | User Manual - Page 458
the range. pmt1 and pmt2 must be positive integers < 10,000. roundvalue specifies the internal precision the calculator uses to calculate the principal; if you do not specify roundvalue, the TI-83 Plus uses the current Float/Fix decimal-mode setting. Note: You must enter values for æ, PV, PMT, and - Texas Instruments TI-83-Plus | User Manual - Page 459
a 30-year mortgage at 8 percent APR. Monthly payments are 800. Calculate the outstanding loan balance after each payment and display the results in a graph and in the table. 1. Press z. Press to set the fixed- periods per year to 12. Press † † Í to select PMT:END. TI-83 Plus Applications 456 - Texas Instruments TI-83-Plus | User Manual - Page 460
7. Press r to draw the graph and activate the trace cursor. Press ~ and | to explore the graph of the outstanding balance over time. Press a number and then press Í to view the balance at a specific time T. 8. Press y - and enter the values below. TblStart=0 @Tbl=12 TI-83 Plus Applications 457 - Texas Instruments TI-83-Plus | User Manual - Page 461
9. Press y 0 to display the table of outstanding balances (Y1T). 10. Press z to select G.T split-screen mode, in which the graph and table are displayed simultaneously. Press r to display X1T (time) and Y1T (balance) in the table. TI-83 Plus Applications 458 - Texas Instruments TI-83-Plus | User Manual - Page 462
Interest Conversion Calculating an Interest Conversion Use the interest conversion functions (menu items B and C) to convert interest rates from an rate and compounding periods must be real numbers. compounding periods must be >0. 4Eff(nominal rate,compounding periods) TI-83 Plus Applications 459 - Texas Instruments TI-83-Plus | User Manual - Page 463
Dates/Defining Payment Method dbd( Use the date function dbd( (menu item D) to calculate the number of days between two dates using the actual-day-count method. date1 and • MM.DDYY (United States) • DDMM.YY (Europe) The decimal placement differentiates the date formats. TI-83 Plus Applications 460 - Texas Instruments TI-83-Plus | User Manual - Page 464
payment period. Most leases are in this category. Pmt_Bgn On the TVM Solver's PMT:END BEGIN line, select BEGIN to set PMT to annuity due. TI-83 Plus Applications 461 - Texas Instruments TI-83-Plus | User Manual - Page 465
press Œ Í ~. You can use TVM variables in TVM functions and store values to them on the home screen. CALC VARS 1: Ú 2: æ 3: PV 4: PMT 5: FV 6: P/Y 7: C/Y Total number of payment periods Annual interest converted to a per-period rate based on the values of P/Y and C/Y. TI-83 Plus Applications 462 - Texas Instruments TI-83-Plus | User Manual - Page 466
value for C/Y automatically changes to the same value. To store a unique value to C/Y, you must store the value to C/Y after you have stored a value to P/Y. TI-83 Plus Applications 463 - Texas Instruments TI-83-Plus | User Manual - Page 467
CBR Application The CBL/CBR application allows you to collect real world data. The TI-83 Plus comes with the CBLàCBR application already listed on the APPLICATIONS menu (9 2). CBR application. Press 9 2. Press b. Specify the data collection Press 1, 2, or 3. method. TI-83 Plus Applications 464 - Texas Instruments TI-83-Plus | User Manual - Page 468
directions, if applicable. Select Go... or START NOW. Stop the data collection, if necessary. Repeat these steps or exit the APPLICATIONS menu. Press ^ and ° or ±. TI-83 Plus Applications 465 - Texas Instruments TI-83-Plus | User Manual - Page 469
CBL/CBR Application To use a CBL/CBR application, you need a CBL 2/CBL or CBR (as applicable), a TI-83 Plus, and a unit-to-unit link cable. 1. Press Œ. 2. Select 2:CBL/CBR to set up the TI-83 Plus to use either of the applications. An informational screen appears first. 3. Press any key to continue - Texas Instruments TI-83-Plus | User Manual - Page 470
results as either a bar or meter. Displays results as a Temp-Time, Light-Time, Volt-Time, or Sonic-Time graph. Sets up and runs the RANGER program. Quits the CBLàCBR application. Note: CBL 2/CBL and CBR differ in information on CBL 2/CBL and CBR in their user manuals. TI-83 Plus Applications 467 - Texas Instruments TI-83-Plus | User Manual - Page 471
Method After you select a data collection method from the CBL/CBR APP menu, a screen showing the options for that method is displayed. The method you choose, as well as the data probes: temp, Light, Volt, or Sonic. 1. Press Œ 2 Í. 2. Select 1:GAUGE. 3. Select options. TI-83 Plus Applications 468 - Texas Instruments TI-83-Plus | User Manual - Page 472
The GAUGE data collection results are represented according to TYPE: Bar or Meter. Highlight the one you want with the cursor keys, and then press Í. TI-83 Plus Applications 469 - Texas Instruments TI-83-Plus | User Manual - Page 473
a unit measurement (Temp or Sonic probes only), highlight the one you want using the cursor keys, enter a value using the number keys, and then press Í. TI-83 Plus Applications 470 - Texas Instruments TI-83-Plus | User Manual - Page 474
cursor keys, and then press Í. With the Sonic data collection probe, if DIRECTNS=On, the calculator displays a menu screen before starting the application asking you to select 1:CBL or 2:CBR. This ensures ÙVREF ÙDREF Data Results (Y) Stored to: ÙTEMP ÙLIGHT ÙVOLT ÙDIST TI-83 Plus Applications 471 - Texas Instruments TI-83-Plus | User Manual - Page 475
data collection method stores data results to the same list names, overwriting previously-collected data results, even those collected using the GAUGE data collection method. TI-83 Plus Applications 472 - Texas Instruments TI-83-Plus | User Manual - Page 476
change accordingly. Use " and ! to move between the probe options. To select a probe, highlight the one you want with the cursor keys, and then press Í. TI-83 Plus Applications 473 - Texas Instruments TI-83-Plus | User Manual - Page 477
100 1 10 Sonic 99 1 Cm or Ft 0 6 The DATA LOGGER data collection results are represented as a Temp-Time, Light-Time, Volt-Time, or Distance-Time graph. A Distance-Time graph in meters (Sonic probe). TI-83 Plus Applications 474 - Texas Instruments TI-83-Plus | User Manual - Page 478
#SAMPLES #SAMPLES refers to how many data samples are collected and then graphed. For example, if #SAMPLES=99, data collection stops after the 99th sample is collected. Enter values Temp or Sonic only), highlight the one you want using the cursor keys, and then press Í. TI-83 Plus Applications 475 - Texas Instruments TI-83-Plus | User Manual - Page 479
b. With the Sonic data collection probe, if DIRECTNS=On, the calculator displays a menu screen before starting the application asking you to select 1:CBL or 2:CBR. This ensures that you get the appropriate directions. Press 1 to specify CBL 2/CBL or 2 to specify CBR. TI-83 Plus Applications 476 - Texas Instruments TI-83-Plus | User Manual - Page 480
Data Collection Results The calculator automatically converts all collected data points into list elements using the following list names (you cannot names, overwriting previously-collected data results, even those collected using the DATA LOGGER data collection method. TI-83 Plus Applications 477 - Texas Instruments TI-83-Plus | User Manual - Page 481
collection method runs the CBR RANGER program, a customized program especially for the TI-83 Plus that makes it compatible with the CBR. When the collection process is about the RANGER program as well as option explanations, see the Getting Started with CBR guidebook. TI-83 Plus Applications 478 - Texas Instruments TI-83-Plus | User Manual - Page 482
. Press 1 to specify CBL 2/CBL or 2 to specify CBR. If you select START NOW from the MAIN menu of the RANGER data collection method, the calculator displays one directions screen. Press b to begin data collection. TI-83 Plus Applications 479 - Texas Instruments TI-83-Plus | User Manual - Page 483
LOGGER and RANGER data collection methods stop after the specified number of samples have been collected. To stop them before this happens: 1. Press ^ on the TI-83 Plus. 2. Press ¤ on the CBR, T on the CBL 2, or P on the CBL. To exit from the GAUGE or DATA LOGGER option menus without beginning data - Texas Instruments TI-83-Plus | User Manual - Page 484
Chapter 15: CATALOG, Strings, Hyperbolic Functions Browsing the TI-83 Plus CATALOG What Is the CATALOG? The CATALOG is an alphabetical list of all functions and instructions on the TI-83 Plus. You also can access each CATALOG item from a menu or the keyboard, except: • The six string functions • The - Texas Instruments TI-83-Plus | User Manual - Page 485
the letter P. • Functions that appear as symbols, such as +, L1, - Texas Instruments TI-83-Plus | User Manual - Page 486
3. Press Í to paste the item to the current screen. Tip: From the top of the CATALOG menu, press } to move to the bottom. From the bottom, press † to move to the top. TI-83 Plus CATALOG, Strings, Hyperbolic Functions 483 - Texas Instruments TI-83-Plus | User Manual - Page 487
combine to form a string. • Count each number, letter, and space as one character. • Count each instruction or function name, such as sin( or cos(, as one character; the TI-83 Plus interprets each instruction or function name as one character. Entering a String To enter a string on a blank line on - Texas Instruments TI-83-Plus | User Manual - Page 488
• Use any combination of numbers, letters, function names, or instruction names to create the string. • To enter a blank space, press To enter several alpha characters in press ~ and |. Note: Quotation marks do not count as string characters. TI-83 Plus CATALOG, Strings, Hyperbolic Functions 485 - Texas Instruments TI-83-Plus | User Manual - Page 489
Storing Strings to String Variables String Variables The TI-83 Plus has 10 variables to which you can store strings. You can use string variables with string functions and instructions. To display the VARS STRING menu, follow these steps. 1. Press to display the VARS menu. Move the cursor to 7: - Texas Instruments TI-83-Plus | User Manual - Page 490
(!). 5. Press Í to store the string to the string variable. On the home screen, the stored string is displayed on the next line without quotation marks. TI-83 Plus CATALOG, Strings, Hyperbolic Functions 487 - Texas Instruments TI-83-Plus | User Manual - Page 491
Displaying the Contents of a String Variable To display the contents of a string variable on the home screen, select the string variable from the VARS STRING menu, and then press Í. The string is displayed. TI-83 Plus CATALOG, Strings, Hyperbolic Functions 488 - Texas Instruments TI-83-Plus | User Manual - Page 492
from the CATALOG. The table below lists the string functions and instructions in the order in which they appear among the other CATALOG menu a string's character length. Converts a string to an equation. Returns a string subset as a string. TI-83 Plus CATALOG, Strings, Hyperbolic Functions 489 - Texas Instruments TI-83-Plus | User Manual - Page 493
. . . 4. Press Í to display the strings as a single string. Selecting a String Function from the CATALOG To select a string function or instruction and paste it to the current screen, follow the steps for selecting an item from the CATALOG. TI-83 Plus CATALOG, Strings, Hyperbolic Functions 490 - Texas Instruments TI-83-Plus | User Manual - Page 494
,Strn) expr( expr( converts the character string contained in string to an expression and executes it. string can be a string or a string variable. expr(string) TI-83 Plus CATALOG, Strings, Hyperbolic Functions 491 - Texas Instruments TI-83-Plus | User Manual - Page 495
length of string, inString( returns 0. length( length( returns the number of characters in string. string can be a string or string variable. Note: An instruction or function name, such as sin( or cos(, counts as one character. length(string) TI-83 Plus CATALOG, Strings, Hyperbolic Functions 492 - Texas Instruments TI-83-Plus | User Manual - Page 496
. begin is the position number of the first character of the subset. length is the number of characters in the subset. sub(string,begin,length) TI-83 Plus CATALOG, Strings, Hyperbolic Functions 493 - Texas Instruments TI-83-Plus | User Manual - Page 497
Entering a Function to Graph during Program Execution In a program, you can enter a function to graph during program execution using these commands. Note: When you execute this program, enter a function to store to Y3 at the ENTRY= prompt. TI-83 Plus CATALOG, Strings, Hyperbolic Functions 494 - Texas Instruments TI-83-Plus | User Manual - Page 498
the presence of additional CATALOG items. CATALOG ... cosh( coshL1( ... sinh( sinhL1( ... tanh( tanhL1( ... Hyperbolic cosine Hyperbolic arccosine Hyperbolic sine Hyperbolic arcsine Hyperbolic tangent Hyperbolic arctangent TI-83 Plus CATALOG, Strings, Hyperbolic Functions 495 - Texas Instruments TI-83-Plus | User Manual - Page 499
the hyperbolic arccosine function. tanhL1( is the hyperbolic arctangent function. Each is valid for real numbers, expressions, and lists. sinhL1(value) coshL1(value) sinhL1(value) TI-83 Plus CATALOG, Strings, Hyperbolic Functions 496 - Texas Instruments TI-83-Plus | User Manual - Page 500
Getting Started: Volume of a Cylinder Getting Started is a fast-paced introduction. Read the chapter for details. A program is a set of commands that the TI-83 Plus executes sequentially, as if you had entered them from the keyboard. Create a program that prompts for the radius R and the height H of - Texas Instruments TI-83-Plus | User Manual - Page 501
[M] [E]['] [I] [S V] Í to set up the program to display the text VOLUME IS on one line and the calculated value of V on the next. 6. Press y 5 to display the home screen. 7. Press to display the PRGM EXEC menu. The items on this menu are the names of stored programs. TI-83 Plus Programming 498 - Texas Instruments TI-83-Plus | User Manual - Page 502
the height, and then press Í. The text VOLUME IS, the value of V, and Done are displayed. Repeat steps 7 through 9 and enter different values for R and H. TI-83 Plus Programming 499 - Texas Instruments TI-83-Plus | User Manual - Page 503
Programs What Is a Program? A program is a set of one or more command lines. Each line contains one or more instructions. When you execute a program, the TI-83 Plus performs each instruction on each command line in the same order in which you entered them. The number and size of programs that the - Texas Instruments TI-83-Plus | User Manual - Page 504
display the MEMORY menu. 2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu (Chapter 18). 3. Select 7:Prgm to display the PRGM editor. The TI-83 Plus expresses memory quantities in bytes. TI-83 Plus Programming 501 - Texas Instruments TI-83-Plus | User Manual - Page 505
you to confirm this delete action. Select 2:yes to continue. To leave the PRGM editor screen without deleting anything, press y 5, which displays the home screen. TI-83 Plus Programming 502 - Texas Instruments TI-83-Plus | User Manual - Page 506
asterisk will disappear. Note: Archive programs cannot be edited or executed. In order to edit or execute an archived program, you must first unarchive it. TI-83 Plus Programming 503 - Texas Instruments TI-83-Plus | User Manual - Page 507
. In the program editor, each new command line begins with a colon. To enter more than one instruction or expression on a single command line, separate each with a colon. Note: A command line can in memory during execution. You can call another program as a subroutine. TI-83 Plus Programming 504 - Texas Instruments TI-83-Plus | User Manual - Page 508
, the busy indicator is on. Last Answer (Ans) is updated during program execution. Last Entry is not updated as each command is executed (Chapter 1). The TI-83 Plus checks for errors during program execution. It does not check for errors as you enter a program - Texas Instruments TI-83-Plus | User Manual - Page 509
Breaking a Program To stop program execution, press É. The ERR:BREAK menu is displayed. • To return to the home screen, select 1:Quit. • To go where the interruption occurred, select 2:Goto. TI-83 Plus Programming 506 - Texas Instruments TI-83-Plus | User Manual - Page 510
, press y |; to move to the end, press y ~. To scroll the cursor down seven command lines, press ƒ †. To scroll the cursor up seven command lines, press ƒ }. TI-83 Plus Programming 507 - Texas Instruments TI-83-Plus | User Manual - Page 511
the new line, press y 6, and then press Í. A colon indicates a new line. To delete a command line, place the cursor on the line, press ' to clear all instructions and expressions on the line, and then press { to delete the command line, including the colon. TI-83 Plus Programming 508 - Texas Instruments TI-83-Plus | User Manual - Page 512
from the selected program are copied into the new program. Copying programs has at least two convenient applications. • You can create a template for groups of instructions that you use frequently. • You can rename a program by copying its contents into a new program. TI-83 Plus Programming 509 - Texas Instruments TI-83-Plus | User Manual - Page 513
copy all the command lines from one existing program to another existing program using RCL. Scrolling the PRGM EXEC and PRGM EDIT Menus The TI-83 Plus sorts PRGM EXEC and PRGM EDIT menu items automatically into alphanumerical order. Each menu only labels the first 10 items using 1 through 9, then - Texas Instruments TI-83-Plus | User Manual - Page 514
PRGM CTL (Control) Instructions PRGM CTL Menu To display the PRGM CTL (program control) menu, press from the program editor only a subroutine. Returns from a subroutine. Stops execution. Deletes a variable from within program. Designates the graph style to be drawn. TI-83 Plus Programming 511 - Texas Instruments TI-83-Plus | User Manual - Page 515
command line in the program. To return to the program editor without selecting an item, press '. Controlling Program Flow Program control instructions tell the TI-83 Plus which command to execute next in a program. If, While, and Repeat check a defined condition to determine which command to execute - Texas Instruments TI-83-Plus | User Manual - Page 516
:If condition :command (if true) :command Program Output If.Then Then following an If executes a group of commands if condition is true (nonzero). End identifies the end of the group of commands. :If condition :Then :command (if true) :command (if true) :End :command TI-83 Plus Programming 513 - Texas Instruments TI-83-Plus | User Manual - Page 517
the end of the group of commands. :If condition :Then :command (if true) :command (if true) :Else :command (if false) :command (if false) :End :command TI-83 Plus Programming 514 - Texas Instruments TI-83-Plus | User Manual - Page 518
of the loop. For( loops can be nested. :For(variable,begin,end[,increment]) :command (while end not exceeded) :command (while end not exceeded) :End :command TI-83 Plus Programming 515 - Texas Instruments TI-83-Plus | User Manual - Page 519
group of commands. End signifies the end of the group. When condition is false (zero), the program executes each command following End. While instructions can be nested. :While condition :command (while condition is true) :command (while condition is true) :End :command TI-83 Plus Programming 516 - Texas Instruments TI-83-Plus | User Manual - Page 520
but condition is tested when End is encountered; therefore, the group of commands is always executed at least once. Repeat instructions can be nested. :Repeat condition :command (until condition is true) :command (until condition is true) :End :command Program Output TI-83 Plus Programming 517 - Texas Instruments TI-83-Plus | User Manual - Page 521
Í to resume execution. • Pause without a value temporarily pauses the program. If the DispGraph or Disp instruction has been executed, the appropriate screen is displayed. • Pause with value displays value on the current home screen. value can be scrolled. Pause [value] TI-83 Plus Programming 518 - Texas Instruments TI-83-Plus | User Manual - Page 522
be one or two characters (A through Z, 0 through 99, or q). Lbl label Goto causes the program to branch to label when Goto is encountered. Goto label TI-83 Plus Programming 519 - Texas Instruments TI-83-Plus | User Manual - Page 523
is executed. variable cannot be a system variable. :IS>(variable,value) :command (if answer value) :command (if answer > value) Program Output Note: IS>( is not a looping instruction. TI-83 Plus Programming 520 - Texas Instruments TI-83-Plus | User Manual - Page 524
DS - Texas Instruments TI-83-Plus | User Manual - Page 525
selecting existing programs from the PRGM EXEC menu; however, it allows you to enter the name of a program that you have not yet created. prgmname TI-83 Plus Programming 522 - Texas Instruments TI-83-Plus | User Manual - Page 526
and returns to the home screen. Stop is optional at the end of a program. DelVar DelVar deletes from memory the contents of variable. DelVar variable TI-83 Plus Programming 523 - Texas Instruments TI-83-Plus | User Manual - Page 527
) GraphStyle(function#,graphstyle) For example, GraphStyle(1,5) in Func mode sets the graph style for Y1 to ë (path; 5). Not all graph styles are available in all graphing modes. For a detailed description of each graph style, see the Graph Styles table in Chapter 3. TI-83 Plus Programming 524 - Texas Instruments TI-83-Plus | User Manual - Page 528
graph. Displays the current table. Displays text at a specified position. Checks the keyboard for a keystroke. Clears the display. Clears the current table. Gets a variable from another TI-83 Plus. Gets a variable from CBL 2™/CBL™ or CBR™. Sends a variable to CBL 2/CBL or CBR. These instructions - Texas Instruments TI-83-Plus | User Manual - Page 529
Displaying a Graph with Input Input without a variable displays the current graph. You can move the free-moving cursor, which updates X and Y (and R and q for PolarGC format). The pause indicator is on. Press Í to resume program execution. Input Program Output TI-83 Plus Programming 526 - Texas Instruments TI-83-Plus | User Manual - Page 530
after the prompt and then press Í. The value is stored to variable, and the program resumes execution. Input ["text",variable] Input [Strn,variable] Program Output TI-83 Plus Programming 527 - Texas Instruments TI-83-Plus | User Manual - Page 531
with Prompt. Displaying the Home Screen Disp (display) without a value displays the home screen. To view the home screen during program execution, follow the Disp instruction with a Pause instruction. Disp TI-83 Plus Programming 528 - Texas Instruments TI-83-Plus | User Manual - Page 532
to display in its entirety, ellipses (...) are displayed in the last column, but the matrix or list cannot be scrolled. To scroll, use Pause value. TI-83 Plus Programming 529 - Texas Instruments TI-83-Plus | User Manual - Page 533
DispGraph DispGraph (display graph) displays the current graph. If Pause is encountered after DispGraph, the program halts temporarily so you can examine the screen. Press Í to to the next line. ! is not valid as text. Output(row,column,"text") Output(row,column,value) TI-83 Plus Programming 530 - Texas Instruments TI-83-Plus | User Manual - Page 534
creating video games. Program Output Note and Í were pressed during program execution. Note: You can press É at any time during execution to break the program. TI-83 Plus Programming 531 - Texas Instruments TI-83-Plus | User Manual - Page 535
TI-83 Plus Key Code Diagram ClrHome, ClrTable ClrHome (clear home screen) clears the home screen during program execution. ClrTable (clear table) clears the values in the table during program execution. TI-83 Plus Programming 532 - Texas Instruments TI-83-Plus | User Manual - Page 536
can be a real or complex number, list element, list name, matrix element, matrix name, string, Y= variable, graph database, or picture. GetCalc(variable) Note: GetCalc( does not work between TI.82 and TI-83 Plus calculators. Get(, Send( Get( gets data from the CBL 2/CBL or CBR and stores it to - Texas Instruments TI-83-Plus | User Manual - Page 537
Send(variable) Note: This program gets sound data and time in seconds from CBL 2/CBL. Note: You can access Get(, Send(, and GetCalc( from the CATALOG to execute them from the home screen (Chapter 15). TI-83 Plus Programming 534 - Texas Instruments TI-83-Plus | User Manual - Page 538
Calling Other Programs as Subroutines Calling a Program from Another Program On the TI-83 Plus, any stored program can be called from another program as a subroutine. Enter the name of the encounters either Return or the implied Return at the end of the second program. TI-83 Plus Programming 535 - Texas Instruments TI-83-Plus | User Manual - Page 539
Goto to branch to a label in another program. Return exits a subroutine and returns to the calling program, even if it is encountered within nested loops. TI-83 Plus Programming 536 - Texas Instruments TI-83-Plus | User Manual - Page 540
You can: • Transmit it using the TI-83 Plus communication link (Chapter 19). • Delete it using the MEM MGMT DEL screen (Chapter 18). To run an assembly Program, the syntax is: Asm(assemblyprgmname) If you write an assembly language program, use the two instructions below from the CATALOG to identify - Texas Instruments TI-83-Plus | User Manual - Page 541
Instructions AsmComp(prgmASM1, prgmASM2) AsmPrgm Comments Compiles an assembly language program written in ASCII and stores the hex version Identifies an name you have chosen for the output program. Note: This name must be unique - not a copy of an existing program name. TI-83 Plus Programming 538 - Texas Instruments TI-83-Plus | User Manual - Page 542
7. Press ¤ to complete the sequence. The sequence of the arguments should be as follows: AsmComp(prgmASM1, prgmASM2) 8. Press Í to compile your program and generate the output program. TI-83 Plus Programming 539 - Texas Instruments TI-83-Plus | User Manual - Page 543
Activities The Quadratic Formula Entering a Calculation Use the quadratic formula to instruction on a line. 3. Press 5 ¿ ƒ [B] (above Œ) to store the coefficient of the X term. Press ƒ [ : ] to enter a new instruction on the same line. Press 2 ¿ ƒ [C] (above ) to store the constant. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 544
answer is shown on the right side of the display. The cursor moves to the next line, ready for you to enter the next expression. TI-83 Plus Activities 541 - Texas Instruments TI-83-Plus | User Manual - Page 545
show the solution as a fraction. 1. Press to display the MATH menu. 2. Press 1 to select 1:4Frac from the MATH menu. When you press 1, Ans4Frac is displayed on the home screen. Ans is a variable that contains the last calculated answer. 3. Press Í to convert the result to a fraction. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 546
To save keystrokes, you can recall the last expression you entered, and then edit it for a new calculation. 4. Press y [ (above Í) to recall the fraction conversion entry, and then press y [ Press Í to find the other solution for the quadratic equation 3X2 + 5X + 2 = 0. TI-83 Plus Activities 543 - Texas Instruments TI-83-Plus | User Manual - Page 547
The Quadratic Formula Displaying Complex Results Now solve the equation 2X2 N X + 3 = 0. When you set a+bi complex number mode, the TI-83 Plus displays complex results. 1. Press z 6 times), and then press ~ to position the cursor over a+bi. Press Í to select a+bi complex-number mode. 2. Press y 5 ( - Texas Instruments TI-83-Plus | User Manual - Page 548
4. Press y [ to recall the store instruction, and then press y [ again to recall the quadratic-formula expression, −b− b2−4ac 2a 5. Press Í to find one solution for : An alternative for solving equations for real numbers is to use the built-in Equation Solver (Chapter 2). TI-83 Plus Activities 545 - Texas Instruments TI-83-Plus | User Manual - Page 549
What value of X would give your box the maximum volume V? Use the table and graphs to determine the solution. Begin by defining a function that describes the volume of the box Press o to display the Y= editor, which is where you define functions for tables and graphing. TI-83 Plus Activities 546 - Texas Instruments TI-83-Plus | User Manual - Page 550
with Lid Defining a Table of Values The table feature of the TI-83 Plus displays numeric information about a function. You can use a table of values from the function you just defined to estimate an answer to the problem. 1. Press y - (above p) to display the TABLE SETUP menu. 2. Press Í to accept - Texas Instruments TI-83-Plus | User Manual - Page 551
problem occurs where the sign of Y1 (box's volume) changes from positive to negative, between 10 and 11. 6. Press y -. Notice that TblStart has changed to 6 to reflect the first line of the table as it was last displayed. (In step 5, the first value of X displayed in the table is 6.) TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 552
. 2. Press y 0. 3. Press † and } to scroll the table. Notice that the maximum value for Y1 is 410.26, which occurs at X=3.7. Therefore, the maximum occurs where 3.6 - Texas Instruments TI-83-Plus | User Manual - Page 553
move the cursor into the Y1 column. The value of Y1 at X=3.67 is displayed on the bottom line in full precision as 410.261226. TI-83 Plus Activities 550 - Texas Instruments TI-83-Plus | User Manual - Page 554
at .01-centimeter increments. Box with Lid Setting the Viewing Window You also can use the graphing features of the TI-83 Plus to find the maximum value of a previously defined function. When the graph is activated, the viewing window defines the displayed portion of the coordinate plane. The values - Texas Instruments TI-83-Plus | User Manual - Page 555
4. Press Í. The expression is evaluated, and 10 is stored in Xmax. Press Í to accept Xscl as 1. 5. Press 0 Í 500 Í 100 Í 1 Í to define the remaining window variables. TI-83 Plus Activities 552 - Texas Instruments TI-83-Plus | User Manual - Page 556
. 1. Press s to graph the selected function in the viewing window. The graph of Y1=(20N2X)(25à2NX)X is displayed. 2. Press ~ to activate the free-moving graph cursor. The X and Y coordinate values for the position of the graph cursor are displayed on the bottom line. TI-83 Plus Activities 553 - Texas Instruments TI-83-Plus | User Manual - Page 557
your estimate for the maximum value of X. 6. Press 3 Ë 8. When you press a number key while in TRACE, the X= prompt is displayed in the bottom-left corner. TI-83 Plus Activities 554 - Texas Instruments TI-83-Plus | User Manual - Page 558
pixel values. The actual, precise maximum may lie between pixel values. Box with Lid Zooming In on the Graph To help identify maximums, minimums, roots, and intersections of functions, you can magnify the viewing window at a specific location using the ZOOM instructions. TI-83 Plus Activities 555 - Texas Instruments TI-83-Plus | User Manual - Page 559
changed to indicate that you are using a ZOOM instruction. 3. With the cursor near the maximum value of the function, press Í. The new viewing window is displayed. Both XmaxNXmin and YmaxNYmin have been adjusted by factors of 4, the default values for the zoom factors. TI-83 Plus Activities 556 - Texas Instruments TI-83-Plus | User Manual - Page 560
. Box with Lid Finding the Calculated Maximum You can use a CALCULATE menu operation to calculate a local maximum of a function. 1. Press y / (above r) to display the CALCULATE menu. Press 4 to select 4:maximum. The graph is displayed again with a Left Bound? prompt. TI-83 Plus Activities 557 - Texas Instruments TI-83-Plus | User Manual - Page 561
Í. A 3 at the top of the screen indicates the selected bound. A Guess? prompt is displayed. 4. Press | to trace to a point near the maximum, and then press Í. TI-83 Plus Activities 558 - Texas Instruments TI-83-Plus | User Manual - Page 562
how the values for the calculated maximum compare with the maximums found with the free-moving cursor, the trace cursor, and the table. Note: In steps 2 and 3 above, you can enter values directly for Left Bound and Right Bound, in the same way as described in step 4. TI-83 Plus Activities 559 - Texas Instruments TI-83-Plus | User Manual - Page 563
Results Using Box Plots Problem An experiment found a right hands, which are controlled by the left side of their brains. The TI Graphics team conducted a similar test for adult men and women. The test involved 30 8 7 12 5 11 7 11 8 Men Right 12 6 12 12 7 11 TI-83 Plus Activities 560 - Texas Instruments TI-83-Plus | User Manual - Page 564
correct guesses each woman made using her right hand (Women Right). 4. Likewise, enter each man's correct guesses in MLEFT (Men Left) and MRGHT (Men Right). TI-83 Plus Activities 561 - Texas Instruments TI-83-Plus | User Manual - Page 565
the women more accurate guessers, according to the box plots? 9. Examine the men's results. Redefine plot 1 to use MLEFT, redefine plot 2 to use MRGHT. Press r. TI-83 Plus Activities 562 - Texas Instruments TI-83-Plus | User Manual - Page 566
experiment boys did not guess as well with right hands, while girls guessed equally well with either hand. This is not what our box plots show for adults. Do you think that this is because adults have learned to adapt or because our sample was not large enough? TI-83 Plus Activities 563 - Texas Instruments TI-83-Plus | User Manual - Page 567
off all functions and stat plots. Enter the Y= function to describe the fine. Use the TEST menu operations to define the piecewise function. Set the graph style for Y1 to í (dot). TI-83 Plus Activities 564 - Texas Instruments TI-83-Plus | User Manual - Page 568
of adjacent pixels. Integer values for @X and @Y produce nice values for tracing. 5. Press r to plot the function. At what speed does the ticket exceed 250? TI-83 Plus Activities 565 - Texas Instruments TI-83-Plus | User Manual - Page 569
all graph style icons to í (dot) in the Y= editor. 2. Press o. Turn off all functions and stat plots. Enter the left side of the inequality as Y4 and the right side as Y5. 3. Enter the statement of the inequality as Y6. This function evaluates to 1 if true or 0 if false. TI-83 Plus Activities - Texas Instruments TI-83-Plus | User Manual - Page 570
r † † to move to Y6. Then press | and ~ to trace the inequality, observing the value of Y. 6. Press o. Turn off Y4, Y5, and Y6. Enter equations to graph only the inequality. 7. Press r. Notice that the values of Y7 and Y8 are zero where the inequality is false. TI-83 Plus Activities 567 - Texas Instruments TI-83-Plus | User Manual - Page 571
on the graph. Procedure 1. Press z. Select the default mode settings. Press o. Turn off all functions and stat plots. Enter the functions. 2. Press q 4 to select 4:ZDecimal. The display shows that two solutions may exist (points where the two functions appear to intersect). TI-83 Plus Activities - Texas Instruments TI-83-Plus | User Manual - Page 572
. Press Í. What are the coordinates of the intersection point? 8. Press q 4 to select 4:ZDecimal to redisplay the original graph. 9. Press q. Select 2:Zoom In and repeat steps 4 through 8 to explore the apparent function intersection on the left side of the display. TI-83 Plus Activities 569 - Texas Instruments TI-83-Plus | User Manual - Page 573
:AxesOff :0!Xmin:1!Xmax :0!Ymin:1!Ymax :rand!X:rand!Y :For(K,1,3000) :rand!N :If N1 à 3 :Then :.5X!X :.5Y!Y :End Set viewing window. Beginning of For group. If/Then group TI-83 Plus Activities 570 - Texas Instruments TI-83-Plus | User Manual - Page 574
/Then group. Draw point. End of For group. Store picture. After you execute the program above, you can recall and display the picture with the instruction RecallPic 6. TI-83 Plus Activities 571 - Texas Instruments TI-83-Plus | User Manual - Page 575
Cobweb Attractors Problem Using Web format, you can identify points with attracting and repelling behavior in sequence graphing. Procedure 1. Press z. Select Seq and the default mode Xmin=0 Ymin=M.26 nMax=10 Xmax=1 Ymax=1.1 PlotStart=1 Xscl=1 Yscl=1 PlotStep=1 TI-83 Plus Activities 572 - Texas Instruments TI-83-Plus | User Manual - Page 576
5. Press r to display the graph, and then press ~ to trace the cobweb. This is a cobweb with one attractor. 6. Change K to 3.44 and trace the graph to show a cobweb with two attractors. 7. Change K to 3.54 and trace the graph to show a cobweb with four attractors. TI-83 Plus Activities 573 - Texas Instruments TI-83-Plus | User Manual - Page 577
random integer coefficients between 1 and 10. Try to guess the coefficients and graph your guess as C sin(DX). The program continues until your guess is :L10!Ymin :10!Ymax Define equations. Set line and path graph styles. Initialize coefficients. Set viewing window. TI-83 Plus Activities 574 - Texas Instruments TI-83-Plus | User Manual - Page 578
Text(1,1,"C IS OK") :If CƒA :Text(1,1,"C IS WRONG") :If D=B :Text(1,50,"D IS OK") :If DƒB :Text(1,50,"D IS WRONG") :DispGraph :Pause :If C=A and D=B :Stop :Goto Z Display graph. Prompt for guess. Display graph. Display results. Display graph. Quit if guesses are correct. TI-83 Plus Activities 575 - Texas Instruments TI-83-Plus | User Manual - Page 579
Circle and Trigonometric Curves Problem Using parametric graphing mode, graph the unit circle and the sine curve to show the relationship between them. Any function that can be plotted in and stat plots. Enter the expressions to define the unit circle centered on (0,0). TI-83 Plus Activities 576 - Texas Instruments TI-83-Plus | User Manual - Page 580
5. Press r. As the graph is plotting, you may press Í to pause and Í again to resume graphing as you watch the sine function "unwrap" from the unit circle. Note: You can generalize the unwrapping. Replace sin(T) in Y2T with any other trig function to unwrap that function. TI-83 Plus Activities 577 - Texas Instruments TI-83-Plus | User Manual - Page 581
Finding the Area between Curves Problem Find the area of the region bounded by f(x) = 300x / (x2 + 625) g(x) = 3cos(.1x) x = 75 Procedure 1. Press z. Select the default off all functions and stat plots. Enter the upper and lower functions. Y1=300Xà(X2+625) Y2=3cos(.1X) TI-83 Plus Activities 578 - Texas Instruments TI-83-Plus | User Manual - Page 582
y / 5 to select 5:Intersect. The graph is displayed. Select a first curve, second area graphically. Shade(Y2,Y1,Ans,75) 6. Press y 5 to return to the home screen. Enter the expression to evaluate the integral for the shaded region. fnInt(Y1-Y2,X,Ans,75) The area is 325.839962. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 583
Using Parametric Equations: Ferris Wheel Problem Problem Using two pairs of parametric equations, determine when two objects in motion are closest to each describe the location of the ball at time T. X(T) = b N Tv0 cosq Y(T) = Tv0 sinq N (gà2) T2 where g = 9.8 m/sec2 TI-83 Plus Activities 580 - Texas Instruments TI-83-Plus | User Manual - Page 584
expressions to define the path of the ferris wheel and the path of the ball. Set the graph style for X2T to ë (path). Tip: Try setting the graph styles to ë X1T and ì X2T, which simulates a chair on the ferris wheel and the ball flying through the air when you press s. TI-83 Plus Activities 581 - Texas Instruments TI-83-Plus | User Manual - Page 585
on this portion of the graph. Tmin=1 Xmin=0 Ymin=10 Tmax=3 Xmax=23.5 Ymax=25.5 Tstep=.03 Xscl=10 Yscl=10 6. Press r. After the graph is plotted, press ~ to move near the point on the ferris wheel where the paths cross. Notice the values of X, Y, and T. TI-83 Plus Activities 582 - Texas Instruments TI-83-Plus | User Manual - Page 586
passenger reach the intersection first? You can use r to, in effect, take snapshots in time and explore the relative behavior of two objects in motion. TI-83 Plus Activities 583 - Texas Instruments TI-83-Plus | User Manual - Page 587
demonstrates graphically that: x F (x) = ∫ dt = ln (x), x > 0 and that 1 ∫ Dx x 1 1 t dt = 1 x Procedure 1 1. Press z. Select the default settings. 2. Press p. Set the viewing window. Xmin=.01 Ymin=M1.5 Xres=3 Xmax=10 Ymax=2.5 Xscl=1 Yscl=1 TI-83 Plus Activities - Texas Instruments TI-83-Plus | User Manual - Page 588
o. Turn off Y1 and Y2, and then enter the numerical derivative of the integral of 1àX and the function 1àX. Set the graph style for Y3 to ç (line) and Y4 to è (thick). 6. Press r. Again, use the cursor keys to compare the values of the two graphed functions, Y3 and Y4. TI-83 Plus Activities 585 - Texas Instruments TI-83-Plus | User Manual - Page 589
Problem 2 Explore the functions defined by x x x ∫ ∫ ∫ y = t2dt, t2dt, and t2dt, 2 0 2 Procedure 2 1. Press o. Turn off all functions Press q 6 to select 6:ZStandard. 3. Press r. Notice that the functions appear identical, only shifted vertically by a constant. TI-83 Plus Activities 586 - Texas Instruments TI-83-Plus | User Manual - Page 590
4. Press o. Enter the numerical derivative of Y5 in Y6. 5. Press r. Notice that although the three graphs defined by Y5 are different, they share the same derivative. TI-83 Plus Activities 587 - Texas Instruments TI-83-Plus | User Manual - Page 591
Computing Areas of Regular N-Sided Polygons Problem Use the equation solver to store a formula for the area of a regular N-sided polygon, and Press 0 to select 0:Solver from the MATH menu. Either the equation editor or the interactive solver editor is displayed. If the TI-83 Plus Activities 588 - Texas Instruments TI-83-Plus | User Manual - Page 592
. 5. Now solve for B for a given area with various number of sides. Enter A=200 and N=6. To find the distance B, move the cursor onto B, and then press ƒ \. TI-83 Plus Activities 589 - Texas Instruments TI-83-Plus | User Manual - Page 593
150, then N=1000, and finally N=10000. Notice that as N gets large, the area A approaches pB2. Now graph the equation to see visually how the area changes as the number of sides gets large. 8. Press z. Select the area. Use X in place of N. Set the graph styles as shown. TI-83 Plus Activities 590 - Texas Instruments TI-83-Plus | User Manual - Page 594
11. Press r. After the graph is plotted, press 100 Í to trace to X=100. Press 150 Í. Press 188 Í. Notice that as X increases, the value of Y converges , with r as the distance from the center to a vertex, approaches the area of a circle with radius r (pr2) as N gets large. TI-83 Plus Activities 591 - Texas Instruments TI-83-Plus | User Manual - Page 595
Computing and Graphing Mortgage Payments Problem You are a loan officer at a mortgage company, Solver. Enter these values. Note: Enter a positive number (800) to show PMT as a cash inflow. Payment values will be displayed as positive numbers on the graph. Enter 0 for FV, TI-83 Plus Activities 592 - Texas Instruments TI-83-Plus | User Manual - Page 596
with the graph of the amount of principal for each payment. 4. Press z. Set Par and Simul. 5. Press o. Turn off all functions and stat plots. Enter these equations and set the graph styles as shown. Note: GPrn( and GInt( are located on the FINANCE menu (APPS 1:FINANCE). TI-83 Plus Activities 593 - Texas Instruments TI-83-Plus | User Manual - Page 597
. The graph shows that for the 240th payment (X=240), 358.03 of the 800 payment is applied to principal (Y=358.03). Note: The sum of the payments (Y3T=Y1T+Y2T) is always 800. 8. Press † to move the cursor onto the function for interest defined by X2T and Y2T. Enter 240. TI-83 Plus Activities 594 - Texas Instruments TI-83-Plus | User Manual - Page 598
The graph shows that for the 240th payment (X=240), 441.97 of the 800 payment is interest (Y=441.97). 9. Press y 5 Œ Í 9 to paste 9:bal( to the home screen. Check the figures from the graph. At which monthly payment will the principal allocation surpass the interest allocation? TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 599
4:ClrAllLists 5:Archive... 6:UnArchive... 7:Reset... 8:Group... Displays information about the calculator. Reports memory availability and variable usage. Clears ENTRY (last-entry storage). Clears , first press y L and then press 2:Mem Mgmt/Del. TI-83 Plus Memory and Variable Management 596 - Texas Instruments TI-83-Plus | User Manual - Page 600
indicate that you can scroll up or down to view more variable types. 2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu. The TI-83 Plus expresses memory quantities in bytes. TI-83 Plus Memory and Variable Management 597 - Texas Instruments TI-83-Plus | User Manual - Page 601
you do so through the application which created them. To leave the MEMORY MANAGEMENT/DELETE menu, press either y 5 or '. Both options display the home screen. TI-83 Plus Memory and Variable Management 598 - Texas Instruments TI-83-Plus | User Manual - Page 602
any variable (real or complex number, list, matrix, Y= variable, program, Apps, AppVars, picture, graph database, or string), follow these steps. 1. Press y L to display the MEMORY menu. 2. Select you select 4:List, the LIST editor screen is displayed. TI-83 Plus Memory and Variable Management 599 - Texas Instruments TI-83-Plus | User Manual - Page 603
, press y 5, which displays the home screen. Note: You cannot delete some system variables, such as the last-answer variable Ans and the statistical variable RegEQ. TI-83 Plus Memory and Variable Management 600 - Texas Instruments TI-83-Plus | User Manual - Page 604
the ENTRY storage area. To cancel Clear Entries, press '. Note: If you select 3:Clear Entries from within a program, the Clear Entries instruction is pasted to the program editor, and the Entry (last entry) is cleared when the program is executed. TI-83 Plus Memory and Variable Management 601 - Texas Instruments TI-83-Plus | User Manual - Page 605
list names from memory, from the LIST NAMES menu, or from the stat list editor. Note: If you select 4:ClrAllLists from within a program, the ClrAllLists instruction is pasted to the program editor. The lists are cleared when the program is executed. TI-83 Plus Memory and Variable Management 602 - Texas Instruments TI-83-Plus | User Manual - Page 606
. Stored data and programs are not changed. These are some examples of TI-83 Plus defaults that are restored by resetting the defaults. • Mode settings such as Normal (notation); Func (graphing); Real (numbers); and Full (screen) • Y= functions off TI-83 Plus Memory and Variable Management 603 - Texas Instruments TI-83-Plus | User Manual - Page 607
and Xres=1 • Stat plots off • Format settings such as CoordOn (graphing coordinates on); AxesOn; and ExprOn (expression on) • rand seed value to 0 Displaying the RAM ARCHIVE ALL Menu To display the RAM ARCHIVE ALL menu on the TI-83 Plus, follow these steps. 1. Press y L to display the MEMORY menu - Texas Instruments TI-83-Plus | User Manual - Page 608
you reset all RAM memory, consider restoring sufficient available memory by deleting only selected data. To reset all RAM memory or RAM defaults on the TI-83 Plus, follow these steps. 1. From the RAM ARCHIVE ALL menu, select 1:ALL RAM to display the RESET RAM menu or 2:Defaults to display the RESET - Texas Instruments TI-83-Plus | User Manual - Page 609
Resetting Archive Memory When resetting archive memory on the TI-83 Plus, you can choose to delete from user data archive all variables, all applications, or the ARCHIVE menu. 2. Select one of the following: 1:Vars to display the RESET ARC VAR menu TI-83 Plus Memory and Variable Management 606 - Texas Instruments TI-83-Plus | User Manual - Page 610
home screen, press Í. • To continue with the reset, select 2:Reset. A message indicating the type of archive memory cleared will be displayed on the home screen. TI-83 Plus Memory and Variable Management 607 - Texas Instruments TI-83-Plus | User Manual - Page 611
settings. Tip: Before you reset all memory, consider restoring sufficient available memory by deleting only selected data. To reset all memory on the TI-83 Plus, follow these steps. 1. From the RAM ARCHIVE ALL menu, press ~ ~ to display the ALL menu. 2. Select 1:All Memory to display the RESET - Texas Instruments TI-83-Plus | User Manual - Page 612
the home screen. Note: When you clear memory, the contrast sometimes changes. If the screen is faded or blank, adjust the contrast by pressing y } or †. TI-83 Plus Memory and Variable Management 609 - Texas Instruments TI-83-Plus | User Manual - Page 613
Groups always exist in Flash ROM so there is no need to archive them. Groups cannot be unarchived. However, you can ungroup or delete them. TI-83 Plus Memory and Variable Management 610 - Texas Instruments TI-83-Plus | User Manual - Page 614
Matrices Lists Programs Functions Parametric equations Polar functions Sequence functions Stat plots Graph databases Graph pictures Strings Names A, B, ... , Z A, B, ... Pic9, yes Pic0 Str1, Str2, . . . Str9, Str0 yes TI-83 Plus Memory and Variable Management UnArchive? (yes/no) yes yes yes yes - Texas Instruments TI-83-Plus | User Manual - Page 615
a large byte size (such as large programs) use the MEMORY menu to: • Find the size of the variable. • See if there is enough free space. TI-83 Plus Memory and Variable Management 612 - Texas Instruments TI-83-Plus | User Manual - Page 616
Archive/UnArchive options from the MEMORY menu: 1. Press y L to display the MEMORY menu. 2. Select 5:Archive or 6:UnArchive to place the command in the edit screen. TI-83 Plus Memory and Variable Management 613 - Texas Instruments TI-83-Plus | User Manual - Page 617
unarchive a list variable (L1) using a Memory Management editor: 1. Press y L to display the MEMORY menu. 2. Select 2:Mem Mgmt/Del... to display the MEMORY MANAGEMENT/DELETE menu. TI-83 Plus Memory and Variable Management 614 - Texas Instruments TI-83-Plus | User Manual - Page 618
leave the LIST menu. Note: You can access an archived variable for the purpose of linking, deleting, or unarchiving it, but you cannot edit it. TI-83 Plus Memory and Variable Management 615 - Texas Instruments TI-83-Plus | User Manual - Page 619
. The variables must exist in RAM before they can be grouped. In other words, archived data cannot be included in a group. To create a group of variables: 1. Press y L to display the MEMORY menu. 2. Select 8:Group... to display GROUP UNGROUP menu. TI-83 Plus Memory and Variable Management 616 - Texas Instruments TI-83-Plus | User Manual - Page 620
select 1:All- which shows all variables of all types available but not selected. A screen is displayed listing each variable of the type you selected. For example, suppose some variables have been created in RAM, and selecting 1:All- displays the following screen. TI-83 Plus Memory and Variable - Texas Instruments TI-83-Plus | User Manual - Page 621
selection process until all variables for the new group are selected and then press ~ to display the DONE menu. 7. Press Í to complete the grouping process. TI-83 Plus Memory and Variable Management 618 - Texas Instruments TI-83-Plus | User Manual - Page 622
Menu Items: • When you select 1:Rename, the Name= prompt is displayed, and alpha-lock is on. Enter a new variable name, and then press Í. Ungrouping resumes. TI-83 Plus Memory and Variable Management 619 - Texas Instruments TI-83-Plus | User Manual - Page 623
. To ungroup a group of variables: 1. Press y L to display the MEMORY menu. 2. Select 8:Group... to display the GROUP UNGROUP menu. 3. Press ~ to display the UNGROUP menu. TI-83 Plus Memory and Variable Management 620 - Texas Instruments TI-83-Plus | User Manual - Page 624
is completed. Note: Ungrouping does not remove the group from user data archive. You must delete the group in user data archive to remove it. TI-83 Plus Memory and Variable Management 621 - Texas Instruments TI-83-Plus | User Manual - Page 625
see a Garbage Collect? message. This occurs if you try to archive a variable when there is not enough free contiguous archive memory. The TI-83 Plus will attempt to rearrange the archived variables to make additional room. Responding to the Garbage Collection Message • To cancel, select 1:No. • If - Texas Instruments TI-83-Plus | User Manual - Page 626
, the next variable is stored at the beginning of the next sector. Typically, this leaves an empty block at the end of the previous sector. TI-83 Plus Memory and Variable Management 623 - Texas Instruments TI-83-Plus | User Manual - Page 627
, the empty blocks may account for a significant amount of space. Garbage collection occurs when the variable you are archiving is larger than any empty block. TI-83 Plus Memory and Variable Management 624 - Texas Instruments TI-83-Plus | User Manual - Page 628
C, they continue to take up space. Sector 2 variable D Sector 3 Unarchived variables are "marked for deletion," meaning they will be deleted during the next garbage collection. TI-83 Plus Memory and Variable Management 625 - Texas Instruments TI-83-Plus | User Manual - Page 629
not actually available until after the next garbage collection. If the Archive free amount shows enough available space for your variable, there probably will be enough space to garbage collection may cause all memory (RAM and Archive) to be deleted. TI-83 Plus Memory and Variable Management 626 - Texas Instruments TI-83-Plus | User Manual - Page 630
the GarbageCollect command. 3. Press Í to paste the command to the current screen. 4. Press Í to display the Garbage Collect? message. 5. Select 2:Yes to begin garbage collection. TI-83 Plus Memory and Variable Management 627 - Texas Instruments TI-83-Plus | User Manual - Page 631
ERR:ARCHIVE FULL Message Even if the MEMORY screen shows enough free space to archive a variable or store an resolve the problem, use the GarbageCollect command to optimize memory. If memory is still insufficient, you must delete variables or applications to increase space. TI-83 Plus Memory and - Texas Instruments TI-83-Plus | User Manual - Page 632
introduction. Read the chapter for details. Create and store a variable and a matrix, and then transfer them to another TI-83 Plus. 1. On the home screen of the sending unit, press 5 Ë 5 ¿ ƒ Q. Press Í to store 5.5 to Q. 2. Press y H y H 1 ¢ 2 y I y H 3 ¢ 4 y I y I ¿ y > 1. Press Í to store the - Texas Instruments TI-83-Plus | User Manual - Page 633
to archive [A]. * An asterisk ( ) will appear, signifying that [A] is now archived. 7. Connect the calculators with the link cable. Push both ends in firmly. 8. On the receiving unit, press y 8 ~ to . Press 2 to select 2:AllN. The AllN SELECT screen is displayed. TI-83 Plus Communication Link 630 - Texas Instruments TI-83-Plus | User Manual - Page 634
begin transmission. The receiving unit displays the message Receiving....When the items are transmitted, both units display the name and type of each transmitted variable. TI-83 Plus Communication Link 631 - Texas Instruments TI-83-Plus | User Manual - Page 635
communicate with: • Another TI-83 Plus Silver Edition • A TI-83 Plus • A TI-83 • A TI-82 • A TI-73 • A CBL 2/CBL, or a CBR With the TI™ Connect or TI-GRAPH LINK™ software and a TI-GRAPH LINK cable, you can link the TI-83 Plus Silver Edition to a personal computer. TI-83 Plus Communication Link 632 - Texas Instruments TI-83-Plus | User Manual - Page 636
the TI-83 Plus. (Chapter 14). Linking to a Computer TI-GRAPH LINK™ is an accessory that links a TI-83 Plus to enable communication with a computer. A Macintoshë-compatible TI-GRAPH LINK is available separately. You can access TI-GRAPH LINK guidebooks through education.ti.com/guides. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 637
Displays all list names. Displays list names L1 through L6. Displays all graph databases. Displays all picture data types. Displays all matrix data types. Displays all grouped variables. Sends the Calculator ID number immediately. (You do not need to select SEND.) TI-83 Plus Communication Link 634 - Texas Instruments TI-83-Plus | User Manual - Page 638
G:SendOS H:Back Up... Sends operating system updates to another TI-83 Plus Silver Edition or TI-83 Plus. Selects all RAM and mode settings (no Flash applications or archived items) for backup to another TI-83 Plus Silver Edition or to a TI-83 Plus. When you select an item on the LINK SEND menu - Texas Instruments TI-83-Plus | User Manual - Page 639
~ on the sending unit to display the TRANSMIT menu. 2. Confirm that Waiting... is displayed on the receiving unit, which indicates it is set to receive. TI-83 Plus Communication Link 636 - Texas Instruments TI-83-Plus | User Manual - Page 640
been transmitted, the message Done is displayed on both calculators. Press } and † to scroll through the names. Stopping a Transmission To stop a link transmission, press É. The Error in Xmit menu is displayed on both units. To leave the error menu, select 1:Quit. TI-83 Plus Communication Link 637 - Texas Instruments TI-83-Plus | User Manual - Page 641
to another. Note: Keep in mind that the TI.83 Plus has less Flash memory than the TI-83 Plus Silver Edition. • Variables stored in RAM on the sending TI-83 Plus Silver Edition will be sent to the RAM of the receiving TI-83 Plus Silver Edition or TI-83 Plus. • Variables and applications stored in the - Texas Instruments TI-83-Plus | User Manual - Page 642
To send data to an additional TI-83 Plus Silver Edition or a TI-83 Plus: 1. Use a unit-to-unit cable to link two units together. 2. On the sending unit press y 8 and select a the last transmission. Do not select or deselect any items. If you select or deselect TI-83 Plus Communication Link 639 - Texas Instruments TI-83-Plus | User Manual - Page 643
unit. 14. Repeat steps 7 through 13 until the items are sent to all additional units. Sending to a TI-83 You can send all variables from a TI-83 Plus to a TI-83 except Flash applications, application variables, grouped variables, new variable types, or programs with new features in them (such - Texas Instruments TI-83-Plus | User Manual - Page 644
: You cannot perform a RAM memory backup from a TI-83 Plus to a TI-83 or from a TI-83 to a TI-83 Plus. To send data to a TI-83: 1. Use a unit-to-unit cable to link the two units together. 2. Set the TI-83 to receive. 3. Press y 8 on the sending TI-83 Plus to display the LINK SEND menu. 4. Select the - Texas Instruments TI-83-Plus | User Manual - Page 645
Note: You cannot perform a memory backup from a TI-83 Plus to a TI-82 or from a TI-82 to a TI-83 Plus. To send lists to a TI-82: 1. Use a unit-to-unit cable to link the two units together. 2. Set the TI-82 to receive. 3. Press y 8 5 on the sending TI-83 Plus to select 5:Lists to TI82. The SELECT - Texas Instruments TI-83-Plus | User Manual - Page 646
cannot perform a RAM memory backup from a TI-83 Plus to a TI-73 or from a to a TI-73 to a TI-83 Plus. To transmit data to a TI-73: 1. Use a unit-to-unit cable to link two units together. 2. Set the TI-73 to receive. 3. Press y 8 2 on the sending TI-83 Plus to select 2:All-.... The SELECT screen is - Texas Instruments TI-83-Plus | User Manual - Page 647
received. Press y 5 to exit the receive mode. DuplicateName Menu During transmission, if a variable name is duplicated, the DuplicateName menu is displayed on the receiving unit. TI-83 Plus Communication Link 644 - Texas Instruments TI-83-Plus | User Manual - Page 648
receiving unit exits receive mode. Receiving from a TI-83 Plus Silver Edition or TI-83 Plus The TI-83 Plus Silver Edition and the TI-83 Plus are totally compatible. Keep in mind, however, that the TI-83 Plus has less Flash memory than a TI-83 Plus Silver Edition. TI-83 Plus Communication Link 645 - Texas Instruments TI-83-Plus | User Manual - Page 649
a TI-83 Plus from a TI-82, but differences between the two products may affect some transmitted data. This table shows differences for which the software built into the TI-83 Plus automatically adjusts when a TI-83 Plus receives TI-82 data. TI.82 nMin nStart Un Vn UnStart VnStart TblMin TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 650
if you transmit sin X+5 from a TI-82 to a TI-83 Plus, the TI-83 Plus reinterprets it as sin(X+5. Without a closing parenthesis after X, the TI-83 Plus interprets this as sin(X+5), not the sum of 5 and sin(X). • If a TI-82 transmits an instruction that the TI-83 Plus cannot translate, the ERR:INVALID - Texas Instruments TI-83-Plus | User Manual - Page 651
characters as list elements) cannot be sent from a TI-73 to a TI-83 Plus. To transmit data to a TI-83 Plus from a TI-73: 1. Set the TI-83 Plus to receive. 2. Press Œ on the sending TI-73 to display the APPLICATIONS menu. 3. Press Í on the sending TI-73 to select 1:Link and display the LINK SEND - Texas Instruments TI-83-Plus | User Manual - Page 652
5. Press ~ on the sending TI-73 to display the LINK TRANSMIT menu. 6. Confirm that the receiving unit is set to receive. 7. Press Í on the sending TI-73 to select 1:Transmit and begin transmitting. TI-83 Plus Communication Link 649 - Texas Instruments TI-83-Plus | User Manual - Page 653
Edition. You can also backup RAM memory and mode settings to a TI-83 Plus. To perform a RAM memory backup: 1. Use a unit-to-unit cable to link two TI-83 Plus Silver Edition units, or a TI-83 Plus Silver Edition and a TI-83 Plus together. 2. On the sending unit press y 8 and select H:Back Up. The - Texas Instruments TI-83-Plus | User Manual - Page 654
menu Note: If a transmission error is returned during a backup, the receiving unit is reset. Memory Backup Complete When the backup is complete, both the sending calculator and receiving calculator display a confirmation screen. TI-83 Plus Communication Link 651 - Texas Instruments TI-83-Plus | User Manual - Page 655
a backup between a TI-73, a TI-82, or a TI-83 and a TI-83 Plus. • You attempt a data transfer from a TI-83 Plus to a TI-83, TI-82, or TI-73 with variables or features not recognized by the TI-83, TI-82, or TI-73. • New variable types and features not recognized by the TI-83, TI-82, or TI-73 include - Texas Instruments TI-83-Plus | User Manual - Page 656
conditions may prevent successful transmission. • You try to use Get( with a calculator instead of a CBL 2/CBL or CBR. • You try to use GetCalc( with a TI-83 instead of a TI-83 Plus Silver Edition or TI-83 Plus. Insufficient Memory in Receiving Unit During transmission, if the receiving unit does - Texas Instruments TI-83-Plus | User Manual - Page 657
or ones that paste certain instructions when you are in the program editor. Some keystrokes display menus that are available only in the program editor. Others paste mode, format, or table-set instructions only when you are in the program editor. TI-83 Plus Tables and Reference Information 654 - Texas Instruments TI-83-Plus | User Manual - Page 658
Function or Instruction/ Arguments abs(value) abs(complex value) valueA and valueB angle(value) ANOVA(list1,list2 [,list3 NUM 1:abs( CPX 5:abs( y : LOGIC 1:and CPX 4:angle( ... TESTS F:ANOVA( y Z y L 5:Archive y N Asm( y N AsmComp( y N AsmPrgm TI-83 Plus Tables and Reference Information 655 - Texas Instruments TI-83-Plus | User Manual - Page 659
or Instruction/ Arguments to the end of listA. Turns off the graph axes. Turns on the graph axes. Sets the mode to rectangular complex number y . AxesOff † y . AxesOn † z a+bi Œ 1:Finance CALC 9:bal( y = DISTR A:binomcdf( y = DISTR 0:binompdf( TI-83 Plus Tables and Reference Information 656 - Texas Instruments TI-83-Plus | User Manual - Page 660
Instruction drawflag=0 calculates results. graph or drawing. Clears the home screen. Key or Keys/ Menu or Screen/Item y = DISTR 7:c2cdf( y = DISTR 6:c2pdf( † ... TESTS C:c2-Test( y < DRAW 9:Circle( y L MEMORY 3:Clear Entries y L MEMORY 4:ClrAllLists y < DRAW 1:ClrDraw † I/O 8:ClrHome TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 661
Function or Instruction/ Arguments ClrList numbers. Sets connected plotting mode; resets all Y= editor graph-style settings to ç . Turns off cursor coordinate value Connected † y . CoordOff † y . CoordOn ™ y @ y N cosh( y N coshL1( ... CALC 6:CubicReg TI-83 Plus Tables and Reference Information 658 - Texas Instruments TI-83-Plus | User Manual - Page 662
or Instruction/ is a cumulative sum of a matrix column from top to bottom. Calculates the number of days between date1 and date2 using the actual-day-count 1:Finance CALC D:dbd( MATH 2:4Dec † z Degree † CTL G:DelVar † y Depend: Ask † y Depend: Auto y > MATH 1:det( TI-83 Plus Tables and - Texas Instruments TI-83-Plus | User Manual - Page 663
Function or Instruction/ Arguments DiagnosticOff DiagnosticOn dim(listname) dim(matrixname) length! graph. Key or Keys/ Menu or Screen/Item y N DiagnosticOff y N DiagnosticOn y 9 OPS 3:dim( y > MATH 3:dim( y 9 OPS 3:dim( y > MATH 3:dim( † I/O 3:Disp † I/O 3:Disp † I/O 4:DispGraph TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 664
Function or Instruction/ Arguments DispTable mode; resets all Y= editor graph-style settings to í . Draws expression (in terms of X) on the graph. Draws the inverse of expression y < DRAW 6:DrawF y < DRAW 8:DrawInv † CTL B:DS - Texas Instruments TI-83-Plus | User Manual - Page 665
Function or Instruction/ Arguments 4Eff(nominal rate, compounding periods) Else See If:Then:Else End Eng of freedom) and denominator df. † CTL 7:End † z Eng y N Equ4String( y N expr( ... CALC 0:ExpReg † y . ExprOff † y . ExprOn y = DISTR 9:Ûcdf( TI-83 Plus Tables and Reference Information 662 - Texas Instruments TI-83-Plus | User Manual - Page 666
Function or Instruction/ Arguments Fill(value,matrixname) Result Stores value to each element in matrixname. Fill(value, ( y 9 OPS 4:Fill( † z 0123456789 (select one) † z Float MATH 7:fMax( MATH 6:fMin( MATH 9:fnInt( Y-VARS On/Off 2:FnOff TI-83 Plus Tables and Reference Information 663 - Texas Instruments TI-83-Plus | User Manual - Page 667
Function or Instruction/ Arguments FnOn [function#, function#,...,function n] :For(variable,begin,end [, graphing mode. Displays the garbage collection menu to allow cleanup of unused archive memory. NUM 4:fPart( y = DISTR 8:Ûpdf( MATH 1:4Frac † z Full † z Func y N GarbageCollect TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 668
Function or Instruction/ Arguments gcd(valueA,valueB) geometcdf(p,x) geometpdf(p,x) Get( it in variable. I/O A:Get( Gets contents of variable on another † TI-83 Plus and stores it to variable on I/O the receiving TI-83 Plus. 0:GetCalc( Returns the key code for the current keystroke, or 0, if - Texas Instruments TI-83-Plus | User Manual - Page 669
Instruction/ Arguments GridOff GridOn G-T Horiz Horizontal y identity(dimension) :If condition :commandA :commands :If condition :Then :commands :End :commands Result Turns off grid format. Turns on grid format. Sets graph † CTL 1:If † CTL 2:Then TI-83 Plus Tables and Reference Information 666 - Texas Instruments TI-83-Plus | User Manual - Page 670
Function or Instruction/ Arguments :If condition :Then Sets table to generate independentvariable values automatically. Displays graph. Prompts for value to store to variable. Displays Auto † I/O 1:Input † I/O 1:Input † I/O 1:Input y N inString( TI-83 Plus Tables and Reference Information 667 - Texas Instruments TI-83-Plus | User Manual - Page 671
Function or Instruction/ Arguments int(value) GInt(pmt1,pmt2 [,roundvalue]) invNorm(area[,m,s]) NUM 5:int( Œ 1:Finance CALC A:GInt( y = DISTR 3:invNorm( NUM 3:iPart( Œ 1:Finance CALC 8:irr( † CTL A:IS>( y 9 OPS B:( † y . LabelOff † y . LabelOn TI-83 Plus Tables and Reference Information 668 - Texas Instruments TI-83-Plus | User Manual - Page 672
Function or Instruction/ Arguments Lbl label lcm(valueA,valueB) length(string) Line(X1,Y1,X2 9:Lbl NUM 8:lcm( y N length( y < DRAW 2:Line( y < DRAW 2:Line( ... CALC 8:LinReg(a+bx) ... CALC 4:LinReg(ax+b) † ... TESTS E:LinRegTTest y 9 OPS 7:@List( TI-83 Plus Tables and Reference Information 669 - Texas Instruments TI-83-Plus | User Manual - Page 673
Function or Instruction/ Arguments List 4 matr(listname1,..., listname n,matrixname) ln(value) LnReg [Xlistname, y 9 OPS 0:List 4 matr( µ ... CALC 9:LnReg « ... CALC B:Logistic y 9 OPSA:Matr 4 list( y 9 OPSA:Matr 4 list( NUM 7:max( y 9 MATH 2:max( TI-83 Plus Tables and Reference Information 670 - Texas Instruments TI-83-Plus | User Manual - Page 674
Function or Instruction/ Arguments max(listA,listB) max(value,list) Result Returns a real Screen/Item y 9 MATH 2:max( y 9 MATH 2:max( y 9 MATH 3:mean( y 9 MATH 4:median( ... CALC 3:Med-Med † CTL C:Menu( NUM 6:min( y 9 MATH 1:min( y 9 MATH 1:min( TI-83 Plus Tables and Reference Information 671 - Texas Instruments TI-83-Plus | User Manual - Page 675
Function or Instruction/ Arguments min(value,list) Result Returns a real or complex list of the Screen/Item y 9 MATH 1:min( PRB 3:nCr PRB 3:nCr PRB 3:nCr PRB 3:nCr MATH 8:nDeriv( Œ 1:Finance CALC B:4Nom( † z Normal y = DISTR 2:normalcdf( TI-83 Plus Tables and Reference Information 672 - Texas Instruments TI-83-Plus | User Manual - Page 676
Function or Instruction/ Arguments normalpdf(x[,m,s]) not(value) valueA nPr valueB value nPr list list nPr = DISTR 1:normalpdf( y : LOGIC 4:not( PRB 2:nPr PRB 2:nPr PRB 2:nPr PRB 2:nPr Œ 1:Finance CALC 7:npv( y : LOGIC 2:or † I/O 6:Output( TI-83 Plus Tables and Reference Information 673 - Texas Instruments TI-83-Plus | User Manual - Page 677
. Key or Keys/ Menu or Screen/Item † I/O 6:Output( † z Par † CTL 8:Pause † CTL 8:Pause † y , PLOTS 1:Plot12:Plot23:Plot3- † y , PLOTS 1:Plot12:Plot23:Plot3- † y , PLOTS 1:Plot12:Plot23:Plot3- TI-83 Plus Tables and Reference Information 674 - Texas Instruments TI-83-Plus | User Manual - Page 678
or Instruction/ Arguments discrete Poisson distribution with the specified mean m. Sets polar graphing mode. Displays complex value in polar format. Key or 1:Finance CALC F:Pmt_Bgn Œ 1:Finance CALC E:Pmt_End y = DISTR C:poissoncdf( y = DISTR B:poissonpdf( † z Pol CPX 7:4Polar TI-83 Plus Tables - Texas Instruments TI-83-Plus | User Manual - Page 679
Instruction/ Arguments PolarGC prgmname Result Sets polar graphing calculates results. Key or Keys/ Menu or Screen/Item † y . PolarGC † CTRL D:prgm Œ 1:Finance CALC 0:GPrn( y 9 MATH 6:prod( † I/O 2:Prompt † ... TESTS A:1-PropZInt( † ... TESTS B:2-PropZInt( † ... TESTS 5:1-PropZTest( TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 680
Instruction ƒ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results. Reverses a point at (x,y). Erases a point 2:Pt.Off( y < POINTS 1:Pt.On( ... CALC A:PwrReg y < POINTS 6:Pxl.Change( y < POINTS 5:Pxl.Off( y < POINTS 4:Pxl.On( TI-83 Plus Tables and Reference Information 677 - Texas Instruments TI-83-Plus | User Manual - Page 681
Function or Instruction/ Arguments pxl.Test(row,column) P4Rx(r,q) P4Ry(r,q) QuadReg [Xlistname, Ylistname, y < POINTS 7:pxl.Test( y ; ANGLE 7:P4Rx( y ; ANGLE 8:P4Ry( ... CALC 5:QuadReg ... CALC 7:QuartReg † z Radian PRB 1:rand PRB 7:randBin( TI-83 Plus Tables and Reference Information 678 - Texas Instruments TI-83-Plus | User Manual - Page 682
or Instruction/ graph and adds the picture stored in Picn. Displays complex value or list in rectangular format. Key or Keys/ Menu or Screen/Item PRB 5:randInt( y > MATH 6:randM( PRB 6:randNorm( † z re^qi † z Real CPX 2:real( y < STO 4:RecallGDB y < STO 2:RecallPic CPX 6:4Rect TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 683
, and stored in rowB. Returns a matrix with rowA of matrix swapped with rowB. † CTL E:Return NUM 2:round( y > MATH E:ärow( y > MATH D:row+( y > MATH F:ärow+( y > MATH C:rowSwap( TI-83 Plus Tables and Reference Information 680 - Texas Instruments TI-83-Plus | User Manual - Page 684
Function or Instruction/ Arguments rref(matrix ƒ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results. Performs a two-sample Û test. alternative=L1 Test † ... TESTS D:2-SampÛTest † ... TESTS 0:2-SampTInt † ... TESTS 0:2-SampTInt TI-83 Plus Tables and Reference Information 681 - Texas Instruments TI-83-Plus | User Manual - Page 685
Function or Instruction/ Arguments 2.SampTTest [listname1, listname2,freqlist1, freqlist2,alternative, pooled,drawflag] is . drawflag=1 draws results; drawflag=0 calculates results. † ... TESTS 3:2-SampZTest( TI-83 Plus Tables and Reference Information 682 - Texas Instruments TI-83-Plus | User Manual - Page 686
Instruction drawflag=1 draws results; drawflag=0 calculates results. Sets scientific notation display by increment. Sets sequence graphing mode. Sets mode to graph functions sequentially. Removes all 5:seq( † z Seq † z Sequential ... EDIT 5:SetUpEditor TI-83 Plus Tables and Reference Information 683 - Texas Instruments TI-83-Plus | User Manual - Page 687
Function or Instruction/ Arguments SetUpEditor listname1 1. Draws lowerfunc and upperfunc in terms of X on the current graph and uses pattern and patres to shade the area bounded by lowerfunc = DRAW 4:ShadeÜ( y = DRAW 1:ShadeNorm( y = DRAW 2:Shade_t( TI-83 Plus Tables and Reference Information 684 - Texas Instruments TI-83-Plus | User Manual - Page 688
Function or Instruction/ Arguments dependlist n]) SortD(listname) Result Sets mode to graph functions simultaneously. Returns the sine of a y N sinh( y N sinhL1( ... CALC C:SinReg † MATH 0:solve( y 9 OPS1:SortA( y 9 OPS 1:SortA( y 9 OPS2:SortD( TI-83 Plus Tables and Reference Information 685 - Texas Instruments TI-83-Plus | User Manual - Page 689
Function or Instruction/ Arguments SortD( to home screen. Stores value in variable. Stores current graph in database GDBn. Stores current picture in picture Picn. < STO 3:StoreGDB y < STO 1:StorePic y N String4Equ( y N sub( y 9 MATH 5:sum( š y A TI-83 Plus Tables and Reference Information 686 - Texas Instruments TI-83-Plus | User Manual - Page 690
Function or Instruction/ Arguments text on graph beginning at pixel (row,column), where 0 row 57 and 0 column 94. Sets sequence graphs to plot with y < DRAW 0:Text( † y . Time † ... TESTS 8:TInterval † ... TESTS 8:TInterval y = DISTR 4:tpdf( TI-83 Plus Tables and Reference Information 687 - Texas Instruments TI-83-Plus | User Manual - Page 691
each payment. Computes the present value. Key or Keys/ Menu or Screen/Item r † ... TESTS 2:T-Test † ... TESTS 2:T-Test Œ 1:Finance CALC 6:tvm_FV Œ 1:Finance CALC 3:tvm_( Œ 1:Finance CALC 5:tvm_( Œ 1:Finance CALC 2:tvm_Pmt Œ 1:Finance CALC 4:tvm_PV TI-83 Plus Tables and Reference Information 688 - Texas Instruments TI-83-Plus | User Manual - Page 692
or Instruction/ Arguments graphs to trace as webs. Executes commands while condition is true. Key or Keys/ Menu or Screen/Item y L 6:UnArchive † y . uv † y . uw ... CALC 1:1-Var Stats ... CALC 2:2-Var Stats y 9 MATH 8:variance( y < DRAW 4:Vertical † y . vw † y . Web † CTL 5:While TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 693
Function or Instruction/ Arguments valueA xor valueB graph, centered on the cursor location. Key or Keys/ Menu or Screen/Item y : LOGIC 3:xor † q ZOOM 1:ZBox † q ZOOM 4:ZDecimal † q ZOOM 8:ZInteger † ... TESTS 7:ZInterval † ... TESTS 7:ZInterval † q ZOOM 2:Zoom In † q ZOOM 3:Zoom Out TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 694
window. Replots the graph using the window variables of the graph that was displayed before you executed the last ZOOM instruction. Adjusts the X or ZOOM 9:ZoomStat † q MEMORY 2:ZoomSto † q MEMORY 1:ZPrevious † q ZOOM 5:ZSquare † q ZOOM 6:ZStandard TI-83 Plus Tables and Reference Information 691 - Texas Instruments TI-83-Plus | User Manual - Page 695
Function or Instruction/ Arguments ZNTest(m0,s[,listname, is ƒ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results. Performs a z test. alternative=L1 is - Texas Instruments TI-83-Plus | User Manual - Page 696
Function or Instruction/ Arguments Transpose: matrixT xthrootx‡value xthrootx‡list listx‡value listAx‡listB Cube: value3 Cube Keys/ Menu or Screen/Item y > MATH 2:T MATH 5:x( MATH 5:x( MATH 5:x( MATH 5:x( MATH 3:3 MATH 4:3( y : TEST 1:= TI-83 Plus Tables and Reference Information 693 - Texas Instruments TI-83-Plus | User Manual - Page 697
Function or Instruction/ Arguments Not equal: valueAƒvalueB Less than: valueAvalueB Less number or expression. Key or Keys/ Menu or Screen/Item y : TEST 2:ƒ y : TEST 5:< y : TEST 3:> y : TEST 6: y : TEST 4:, œ œ œ ¡ TI-83 Plus Tables and Reference Information 694 - Texas Instruments TI-83-Plus | User Manual - Page 698
Function or Instruction/ Arguments Square: list2 Square: matrix2 Powers: value^power Powers: list^power Powers: value^list or Screen/Item ¡ ¡ › y G y G y C ¯ Returns value times each list ¯ element. Returns each list element times ¯ value. TI-83 Plus Tables and Reference Information 695 - Texas Instruments TI-83-Plus | User Manual - Page 699
Function or Instruction/ Arguments Multiplication: listAälistB Multiplication: value plus listB elements. Returns matrixA elements plus matrixB elements. Concatenates two or more strings. Subtracts valueB from valueA. Subtracts list elements from value. Key or Keys/ Menu or Screen/Item TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 700
Function or Instruction/ Arguments Subtraction: listNvalue Subtraction: listANlistB Subtraction: matrixANmatrixB Minutes notation: degrees¡minutes'seconds" angle measurement as seconds. Key or Keys/ Menu or Screen/Item ¹ ¹ ¹ y ; ANGLE 2:' ƒ [ã] TI-83 Plus Tables and Reference Information 697 - Texas Instruments TI-83-Plus | User Manual - Page 701
TI-83 Plus Menu Map The TI-83 Plus Menu Map begins at the top-left corner of editor) PLOTS TYPE MARK 1:Plot1( 1:Scatter 1:› 2:Plot2( 2:xyLine 2:+ 3:Plot3( 3:Histogram 3:¦ 4:PlotsOff 4:ModBoxplot 5:PlotsOn 5:Boxplot 6:NormProbPlot TI-83 Plus Tables and Reference Information 698 - Texas Instruments TI-83-Plus | User Manual - Page 702
Yscl=1 Yscl=1 Ymax=10 Yscl=1 y - ÚÄÄÄÙ TABLE SETUP TblStart=0 @Tbl=1 Indpnt:Auto Ask Depend:Auto Ask y - ÚÄÄÄÄÙ (PRGM editor) TABLE SETUP Indpnt:Auto Ask Depend:Auto Ask TI-83 Plus Tables and Reference Information 699 - Texas Instruments TI-83-Plus | User Manual - Page 703
uv vw uw CoordOn CoordOff RectGC PolarGC GridOff GridOn CoordOn CoordOff AxesOn AxesOff GridOff GridOn LabelOff LabelOn AxesOn AxesOff ExprOn ExprOff LabelOff LabelOn ExprOn ExprOff TI-83 Plus Tables and Reference Information 700 - Texas Instruments TI-83-Plus | User Manual - Page 704
CALCULATE 1:value 1:value 1:value 1:value 2:zero 2:dy/dx 2:dy/dx 3:minimum 3:dy/dt 3:dr/dq 4:maximum 4:dx/dt 5:intersect 6:dy/dx 7:‰f(x)dx z ÚÙ Normal Sci Eng Float 0123456789 Radian Degree Func Par Pol Seq Connected Dot Sequential Simul Real a+b× re^q× Full Horiz G-T TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 705
8 SEND RECEIVE 1:All+... 1:Receive 2:AllN... 3:Prgm... 4:List... 5:Lists to TI82... 6:GDB... 7:Pic... 8:Matrix... 9:Real... 0:Complex... A:Y-Vars... B:String... C:Apps... D:AppVars... E:Group... F:SendId G:SendOS H:Back Up... TI-83 Plus Tables and Reference Information 702 - Texas Instruments TI-83-Plus | User Manual - Page 706
... EDIT CALC TESTS 1:Edit... 1:1-Var Stats 1:Z-Test... 2:SortA( 2:2-Var Stats 2:T-Test... 3:SortD( 3:Med-Med 3:2-SampZTest... 4: ... B:Logistic B:2-PropZInt... C:SinReg C:c2-Test... D:2-SampÛTest... E:LinRegTTest... F:ANOVA( TI-83 Plus Tables and Reference Information 703 - Texas Instruments TI-83-Plus | User Manual - Page 707
2:4Dec 3:3 4:3‡( 5:x‡ 2:round( 3:iPart( 4:fPart( 5:int( 2:real( 3:imag( 4:angle( 5:abs( 2:nPr 3:nCr 4:! 5:randInt( 6:fMin( 6:min( 6:4Rect 6:randNorm( 7:fMax( 7:max( 7:4Polar 7:randBin( 8:nDeriv( 8:lcm( 9:fnInt( 9:gcd( 0:Solver... TI-83 Plus Tables and Reference Information 704 - Texas Instruments TI-83-Plus | User Manual - Page 708
6:randM( 6:[F] 7:[G] 7:augment( 7:[G] 8:[H] 8:Matr4list( 8:[H] 9:[I] 9:List4matr( 9:[I] 0:[J] 0:cumSum( 0:[J] A:ref( B:rref( C:rowSwap( D:row+( E:...row( F:...row+( y ; ÚÄÄÄÙ ANGLE 1:¡ 2:' 3:r 4:4DMS 5:R4Pr( 6:R4Pq( 7:P4Rx( 8:P4Ry( TI-83 Plus Tables and Reference Information 705 - Texas Instruments TI-83-Plus | User Manual - Page 709
3:Disp ... 4:For( 4:DispGraph 5:While 5:DispTable 6:Repeat 6:Output( 7:End 7:getKey 8:Pause 8:ClrHome 9:Lbl 9:ClrTable 0:Goto 0:GetCalc( A:IS>( A:Get( B:DS - Texas Instruments TI-83-Plus | User Manual - Page 710
6:DrawF 6:Pxl-Change( 7:Shade( 7:pxl-Test( 8:DrawInv 9:Circle( 0:Text( A:Pen VARS Y-VARS 1:Window... 1:Function... 2:Zoom... 2:Parametric... 3:GDB... 3:Polar... 4:Picture... 4:On/Off... 5:Statistics... 6:Table... 7:String... TI-83 Plus Tables and Reference Information 707 - Texas Instruments TI-83-Plus | User Manual - Page 711
/Zq ZU 1:ZXmin 1:ZTmin 1:Zu(nMin) 2:ZXmax 2:ZTmax 2:Zv(nMin) 3:ZXscl 3:ZTstep 3:Zw(nMin) 4:ZYmin 5:ZYmax 6:ZYscl 4:Zqmin 5:Zqmax 6:Zqstep 4:ZnMin 5:ZnMax 6:ZPlotStart 7:ZXres 7:ZPlotStep TI-83 Plus Tables and Reference Information 708 - Texas Instruments TI-83-Plus | User Manual - Page 712
VARS (GDB...) (Picture... GRAPH DATABASE ) 1:GDB1 PICTURE 2:GDB2 1:Pic1 ... 2:Pic2 9:GDB9 ... 0:GDB0 9:Pic9 0:Pic0 TI-83 Plus Tables and Reference Information 709 - Texas Instruments TI-83-Plus | User Manual - Page 713
4:c 5:Gxy 5:d 3:t 4:c2 5:Û 3:x2 4:y2 5:x3 6:Sy 6:e 6:df 6:y3 7:sy 8:minX 9:maxX 7:r 8:r2 9:R2 7:Ç 8:Ç1 9:Ç2 7:Q1 8:Med 9:Q3 0:minY 0:s A:maxY A:ü1 B:ü2 C:Sx1 D:Sx2 E:Sxp F:n1 G:n2 H:lower I:upper TI-83 Plus Tables and Reference Information 710 - Texas Instruments TI-83-Plus | User Manual - Page 714
...) FUNCTION PARAMETRIC POLAR ON/OFF 1:Y1 1:X1T 1:r1 1:FnOn 2:Y2 2:Y1T 2:r2 2:FnOff 3:Y3 3:X2T 3:r3 4:Y4 4:Y2T 4:r4 ... ... 5:r5 9:Y9 0:Y0 A:X6T B:Y6T 6:r6 TI-83 Plus Tables and Reference Information 711 - Texas Instruments TI-83-Plus | User Manual - Page 715
y = DISTR DRAW 1:normalpdf( 1:ShadeNorm( 2:normalcdf( 3:invNorm( 4:tpdf( 2:Shade_t( 3:Shadec2( 4:ShadeÛ( 5:tcdf( 6:c2pdf( 7:c2cdf( 8:Ûpdf( 9:Ûcdf( 0:binompdf( A:binomcdf( B:poissonpdf( C:poissoncdf( D:geometpdf( E:geometcdf( TI-83 Plus Tables and Reference Information 712 - Texas Instruments TI-83-Plus | User Manual - Page 716
CBL/CBR Finance CALC VARS 1:TVM 1:Ú Solver... 2:æ 2:tvm_Pmt 3:PV 3:tvm_æ 4:PMT 4:tvm_PV 5:FV 5:tvm_Ú 6:P/Y 6:tvm_FV 7:C/Y 7:npv( 8:irr( 9:bal( 0:GPrn( A:GInt( B:4Nom( C:4Eff( D:dbd( E:Pmt_End F:Pmt_Bgn CBL/CBR ÚÄÄÄÙ 1:GAUGE 2:DATA LOGGER 3:CBR 4:QUIT TI-83 Plus Tables and - Texas Instruments TI-83-Plus | User Manual - Page 717
Del... ARC FREE 131069 3:Clear Entries 1:All... 4:ClrAllLists 2:Real... 5:Archive 3:Complex... 6:UnArchive 4:List... 7:Reset... 5:Matrix... 8:Group 6:Y-Vars... 7:Prgm... 8:Pic... 9:GDB... 0:String... A:Apps... B:AppVars... C:Group... TI-83 Plus Tables and Reference Information 714 - Texas Instruments TI-83-Plus | User Manual - Page 718
RAM. from Archive. from RAM and Archive. RAM RESET RAM RESET DEFAULTS 1:No 1:No 2:Reset 2:Reset Resetting RAM erases all data and programs from RAM. TI-83 Plus Tables and Reference Information 715 - Texas Instruments TI-83-Plus | User Manual - Page 719
Archive. from Archive. ALL ÚÄÄÙ RESET MEMORY 1:No 2:Reset Resetting ALL will delete all data, programs & Apps from RAM & Archive. MEMORY (GROUP GROUP UNGROUP 1:Create New TI-83 Plus Tables and Reference Information 716 - Texas Instruments TI-83-Plus | User Manual - Page 720
MEMORY (UNGROUP 1:name 2:name ... y N ÚÄÄÙ CATALOG cosh( coshL1( ... Equ4String( expr( ... inString( ... length( ... sinh( sinhL1( ... String4Equ( sub( ... tanh( tanhL1( TI-83 Plus Tables and Reference Information 717 - Texas Instruments TI-83-Plus | User Manual - Page 721
to specific data types. The variables A through Z and q are defined as real or complex numbers. You may store to them. The TI-83 Plus can update X, Y, R, q, and T during graphing, so you may want to avoid using these variables to store nongraphing data. The variables (list names) L1 through L6 are - Texas Instruments TI-83-Plus | User Manual - Page 722
for system variables, you can store any string of characters, functions, instructions, or variables to the functions Yn, (1 through 9, and 0), XnT variables below must be real numbers. You may store to them. Since the TI-83 Plus can update some of them, as the result of a ZOOM, for example, - Texas Instruments TI-83-Plus | User Manual - Page 723
The variables below are reserved for use by the TI-83 Plus. You cannot store to them. n, v, Sx, sx, minX, maxX, Gy, Gy2, Gxy, a, b, c, RegEQ, x1, x2, y1, z, t, F, c2, Ç, v1, Sx1, n1, lower, upper, r2, R2 and other statistical variables. TI-83 Plus Tables and Reference Information 720 - Texas Instruments TI-83-Plus | User Manual - Page 724
list y = the dependent variable list N = the dimension of the lists This technique attempts to estimate the constants a, b, and c recursively to make J as small as possible. TI-83 Plus Tables and Reference Information 721 - Texas Instruments TI-83-Plus | User Manual - Page 725
of the lists This technique attempts to recursively estimate the constants a, b, c, and d to make J as small as possible. ANOVA( The ANOVA Û statistic is: Û = FactorMS ErrorMS TI-83 Plus Tables and Reference Information 722 - Texas Instruments TI-83-Plus | User Manual - Page 726
(xi − x)2 i=1 I ∑ Error SS = (ni − 1)Sxi2 i=1 The degrees of freedom df that make up the mean squares are: Factordf = I − 1 = numeratordf for Û I Error df = ∑(ni −1) = denominatordf for Û i=1 TI-83 Plus Tables and Reference Information 723 - Texas Instruments TI-83-Plus | User Manual - Page 727
n1-1 and n2-1 degrees of freedom df, respectively. Û = Û-statistic = Sx1 2 Sx2 df(x, n1-1, n2-1) = Ûpdf( ) with degrees of freedom df, n1-1, and n2-1 p = reported p value TI-83 Plus Tables and Reference Information 724 - Texas Instruments TI-83-Plus | User Manual - Page 728
upper limits The Û-statistic is used as the bound producing the smallest integral. The remaining bound is selected to achieve the preceding integral's equality relationship. TI-83 Plus Tables and Reference Information 725 - Texas Instruments TI-83-Plus | User Manual - Page 729
the variances are pooled. If the variances are not pooled: S = Sx12 + Sx22 n1 n2 df = Sx12 n1 + Sx22 n2 2 1 n1 −1 Sx12 n1 2 + 1 n2 −1 Sx22 n2 2 TI-83 Plus Tables and Reference Information 726 - Texas Instruments TI-83-Plus | User Manual - Page 730
otherwise: Sxp = (n1 − 1)Sx12 + (n2 − 1)Sx22 df S = 1 + 1 Sxp n1 n2 df = n1 + n2 − 2 and Sxp is the pooled variance. TI-83 Plus Tables and Reference Information 727 - Texas Instruments TI-83-Plus | User Manual - Page 731
C/Y C/Y = compounding periods per year P/Y = payment periods per year I% = interest rate per year i = (−FV ÷ PV )(1 ÷ N ) − 1 where: PMT = 0 The iteration used to compute i: 0 = PV + PMT × Gi1 − (1 + i i) −N + FV × (1 + i) −N TI-83 Plus Tables and Reference Information 728 - Texas Instruments TI-83-Plus | User Manual - Page 732
-period payments k = 1 for beginning-of-period payments N ln = PMT PMT × Gi − FV × Gi + PV × × i i ln(1 + i) where: i ƒ 0 N = −(PV + FV ) ÷ PMT where: i = 0 PMT = −i Gi × PV + PV + FV (1 + i)N − 1 TI-83 Plus Tables and Reference Information 729 - Texas Instruments TI-83-Plus | User Manual - Page 733
FV ) ÷ N where: i = 0 PV = PMT i × Gi − FV × 1 (1 + i)N − PMT i × Gi where: i ƒ 0 PV = −(FV + PMT × N ) where: i = 0 FV = PMT × Gi − (1 + i)N × PV + PMT × Gi i i where: i ƒ 0 FV = −(PV + PMT × N ) where: i = 0 TI-83 Plus Tables and Reference Information 730 - Texas Instruments TI-83-Plus | User Manual - Page 734
pmt2 Im = RND[RND12(−i × bal(m − 1))] bal(m) = bal(m − 1) − Im+ RND(PMT ) then: bal() = bal( pmt2) Σ Prn () = bal( pmt2) − bal( pmt1) ΣInt() = ( pmt2 − pmt1 + 1) × RND(PMT ) − Σ Prn () TI-83 Plus Tables and Reference Information 731 - Texas Instruments TI-83-Plus | User Manual - Page 735
the initial cash flow (CF0), subsequent cash flows (CFj), frequency of each cash flow (nj), and the specified interest rate (i). irr() = 100 × i, where i satisfies npv() = 0 TI-83 Plus Tables and Reference Information 732 - Texas Instruments TI-83-Plus | User Manual - Page 736
Nom = nominal rate Days between Dates With the dbd( function, you can enter or compute a date within the range Jan. 1, 1950, through Dec. 31, 2049. TI-83 Plus Tables and Reference Information 733 - Texas Instruments TI-83-Plus | User Manual - Page 737
Days I = (Y1-YB) × 365 + (number of days MB to M1) + DT1 + (Y1 − YB) 4 Number of Days II = (Y2-YB) × 365 + (number of days MB to M2) + DT2 + (Y 2 − YB) 4 where: M1 = month of January) DB = base day (1) YB = base year (first year after leap year) TI-83 Plus Tables and Reference Information 734 - Texas Instruments TI-83-Plus | User Manual - Page 738
lithium battery provides auxiliary power to retain memory while you replace the AAA batteries. When the battery voltage level drops below a usable level, the TI-83 Plus: Displays this message when you turn on the unit. Displays this message when you attempt to download an application. Message - Texas Instruments TI-83-Plus | User Manual - Page 739
until you replace the batteries. If you do not replace the batteries within about two weeks, the calculator may turn off by itself or fail to turn on until you install new batteries. If Message B either type of battery without losing any information in memory. TI-83 Plus General Information 736 - Texas Instruments TI-83-Plus | User Manual - Page 740
cover over the keyboard to avoid inadvertently turning on the calculator. Turn the back of the calculator toward you. 2. Hold the calculator upright, push downward on the latch on the top of the battery cover with your finger, and then pull the cover toward you. TI-83 Plus General Information 737 - Texas Instruments TI-83-Plus | User Manual - Page 741
loss of information stored in memory, you must turn off the calculator. Do not remove the AAA batteries and the lithium battery simultaneously. . 4. Replace the battery compartment cover. Turn the calculator on and adjust the display contrast, if necessary. TI-83 Plus General Information 738 - Texas Instruments TI-83-Plus | User Manual - Page 742
Error Conditions table for details about specific errors, if necessary. 3. If the busy indicator (dotted line) is displayed, a graph or program has been paused; the TI-83 Plus is waiting for input. Press Í to continue or press É to break. 4. If a checkerboard cursor ( # ) is displayed, then either - Texas Instruments TI-83-Plus | User Manual - Page 743
the { key while re-installing the battery. This will force the calculator to accept a download of system software. b. Connect your calculator to a personal computer with the TI.GRAPH LINK™ accessory to download current or new software code to your calculator. TI-83 Plus General Information 740 - Texas Instruments TI-83-Plus | User Manual - Page 744
• II. If the above solution does not work, reset all memory as follows: a. Remove one battery from the calculator and then press and hold down the ' key while re-installing the battery. , select 2:Reset. The message MEM cleared is displayed on the home screen. TI-83 Plus General Information 741 - Texas Instruments TI-83-Plus | User Manual - Page 745
to receive it. A function or instruction does not have the correct number of arguments. See Appendix A and the appropriate chapter. You have attempted to send or receive an application and an error (e.g. electrical interference) has occurred in the transmission. TI-83 Plus General Information 742 - Texas Instruments TI-83-Plus | User Manual - Page 746
. • In a CALC operation or with Select(, you defined Left Bound > Right Bound. • In fMin(, fMax(, solve(, or the equation solver, you entered lower , upper. You pressed the É key to break execution of a program, to halt a DRAW instruction, or to stop evaluation of an expression. TI-83 Plus General - Texas Instruments TI-83-Plus | User Manual - Page 747
wrong data type. • For a function (including implied multiplication) or an instruction, you entered an argument that is an invalid data type, such as during graphing. The TI-83 Plus allows for undefined values on a graph. • You attempted a linear regression with a vertical line. TI-83 Plus General - Texas Instruments TI-83-Plus | User Manual - Page 748
Causes and Suggested Remedies • You specified an argument to a function or instruction outside the valid range. This error is not returned during graphing. The TI-83 Plus allows for undefined values on a graph. See Appendix A and the appropriate chapter. • You attempted a logarithmic or power - Texas Instruments TI-83-Plus | User Manual - Page 749
executed but the proper calculator ID cannot be found. • You attempted to use an invalid function in an argument to a function, such as seq( within expression for seq(. • The increment in seq( is 0 or has the wrong sign. This error is not returned during graphing. The TI-83 Plus allows for undefined - Texas Instruments TI-83-Plus | User Manual - Page 750
a variable or function that was transferred from the TI.82 and is not valid for the TI-83 Plus. For example, you may have transferred UnN1 to the TI-83 Plus from the TI.82 and then tried to reference it. • In Seq mode, you attempted to graph a phase plot without defining both equations of the - Texas Instruments TI-83-Plus | User Manual - Page 751
or the equation solver has exceeded the maximum number of permitted iterations. Examine a graph of the function. If the equation has a solution, change the bounds, or the . The label in the Goto instruction is not defined with a Lbl instruction in the program. TI-83 Plus General Information 748 - Texas Instruments TI-83-Plus | User Manual - Page 752
(Chapter 18) before executing the instruction or function. Recursive problems return this error; for example, graphing the equation Y1=Y1. Branching out another graphing mode or to perform an instruction while in the wrong mode; for example, DrawInv in a graphing mode other than Func. TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 753
range of the calculator. This error is not returned during graphing. The TI-83 Plus allows for undefined values on a graph. You attempted to use a system variable inappropriately. See Appendix A. • A singular matrix (determinant = 0) is not valid as the argument for L1. • The SinReg instruction or - Texas Instruments TI-83-Plus | User Manual - Page 754
is not defined). Examine a graph of the function. If the equation has a solution, change the bounds or the initial guess or both. You attempted a stat calculation with lists that are not a tolerance to which the algorithm cannot return an accurate result. TI-83 Plus General Information 751 - Texas Instruments TI-83-Plus | User Manual - Page 755
: • Real numbers LRESID, R, T, X, Y, Theta, Statistic variables under Vars, STATISTICS menu, Yvars, and the AppIdList. You have attempted to receive an incompatible variable version from another calculator. TI-83 Plus General Information 752 - Texas Instruments TI-83-Plus | User Manual - Page 756
Tmax Tmin and Tstep > 0 (or vice versa). • Window variables are too small or too large to graph correctly. You may have attempted to zoom in or zoom out to a point that exceeds the TI-83 Plus's numerical range. • A point or a line, instead of a box, is defined in ZBox. • A ZOOM operation returned - Texas Instruments TI-83-Plus | User Manual - Page 757
) à 94. In G.T split-screen mode, @X is calculated as (Xmax N Xmin) à 46. • If you enter a value for @X from the home screen or a program in Full screen mode, Xmax is calculated as Xmin + @X ... 94. In G.T splitscreen mode, Xmax is calculated as Xmin + @X ... 46. TI-83 Plus General Information 754 - Texas Instruments TI-83-Plus | User Manual - Page 758
is calculated at 1EL3. Therefore, the result displayed may not be accurate to all eight displayed digits. For most functions, at least five accurate digits exist. For fMin(, fMax(, and fnInt( on the MATH menu and solve( in the CATALOG, the tolerance can be specified. TI-83 Plus General Information - Texas Instruments TI-83-Plus | User Manual - Page 759
0 |x| < 1012 (radian or degree) L1 x 1 10L100 < x < 10100 L10100 < x 230.25850929940 L10100 < x < 100 |x| 230.25850929940 |x| < 10100 |x| < 5 × 1099 1 x < 5 × 1099 L1 < x < 1 0 x < 10100 |x| < 10100 L.5 x 69, where x is a multiple of .5 TI-83 Plus General Information 756 - Texas Instruments TI-83-Plus | User Manual - Page 760
Function Results Function Range of Result sinL1 x, tanL1 x L90¡ to 90¡ cosL1 x 0¡ to 180¡ or Lpà2 to pà2 (radians) or 0 to p (radians) TI-83 Plus General Information 757 - Texas Instruments TI-83-Plus | User Manual - Page 761
Texas Instruments (TI) Support and Service For General Information Home Page: KnowledgeBase and E-mail Inquiries: Phone: International Information: education.ti.com education.ti.com/support (800) TI-CARES; (800) 842-2737 For U.S., Canada, Mexico, Puerto Rico, and Virgin Islands only education.ti. - Texas Instruments TI-83-Plus | User Manual - Page 762
in the U.S., Canada, Mexico, Puerto Rico and Virgin Islands: Always contact TI Customer Support before returning a product for service. All other customers: Refer to the leaflet enclosed with this product (hardware) or contact your local TI retailer/distributor. TI-83 Plus General Information 759 - Texas Instruments TI-83-Plus | User Manual - Page 763
Commercial Electronic Product This Texas Instruments ("TI") electronic product warranty extends only to the original purchaser and user of the product. Warranty Duration. This TI electronic product is warranted above limitations or exclusions may not apply to you. TI-83 Plus General Information 760 - Texas Instruments TI-83-Plus | User Manual - Page 764
This Texas Instruments electronic product warranty extends only to the original purchaser and user of the product. Warranty Duration. This Texas Instruments electronic product is warranted to the original purchaser for a period of one (1) year from the original purchase date. TI-83 Plus General - Texas Instruments TI-83-Plus | User Manual - Page 765
Texas Instruments electronic product is warranted against defective materials and construction. This warranty is void if the product has been damaged by accident or unreasonable use, neglect, improper service cost to return the product, no charge will be made for TI-83 Plus General Information 762 - Texas Instruments TI-83-Plus | User Manual - Page 766
product for value if you mail it. Software. Software is licensed, not sold. TI and its licensors do not warrant that the software will be free from errors or statement enclosed with this product, or contact your local Texas Instruments retailer/distributor. TI-83 Plus General Information 763 - Texas Instruments TI-83-Plus | User Manual - Page 767
63, 696 ¨ (user-created list name symbol), 309, 668 ! Store, 29, 686 TI-83 Plus Index ‡( (square root), 64, 695 ›, ¦ (pixel mark), 235, 373 L1 ( ¨DREF, 471 4Eff( (to effective interest rate), 459, 662 ‰f(x)dx operation on a graph, 153 4Frac (to fraction), 67, 664 GInt( (sum of interest), 455, 668 - Texas Instruments TI-83-Plus | User Manual - Page 768
689 10^( (power of ten), 65, 695 2 (square), 64, 694 TI-83 Plus Index 2.PropZInt (two-proportion z confidence interval), 411, 676 2.PropZTest (two-proportion root), 68, 693 -A- a+bi (rectangular complex mode), 24, 84, 656 about, 596 above graph style(é), 117 abs( (absolute value), 79, 90, 271, 655 - Texas Instruments TI-83-Plus | User Manual - Page 769
full error, 628, 742 garbage collection, 623 memory error, 623 TI-83 Plus Index archived variables, 719 arcsine (sinL1(), 63 arctangent (tanL1(), , 656 -B- backing up calculator memory, 638, 650 bal( (amortization balance), 454, 656 bar, 468 batteries, 7, 735 below graph style (ê), 117 binomcdf(, - Texas Instruments TI-83-Plus | User Manual - Page 770
596, 657 TI-83 Plus Index drawing ( 84, 679 compounding-periods-per-year variable (C/Y), 444, 463 concatenation (+), 490, 696 confidence intervals, 392 conj( (conjugate), 88, 658 Connected (plotting mode), 23, 658 connecting two calculators, 633 contrast (display), 8 convergence, sequence graphing - Texas Instruments TI-83-Plus | User Manual - Page 771
coefficient (r), 354 cosL1( (arccosine), 63, 658 cos( (cosine), 63, 658 coshM1( (hyperbolic arccosine), 496, 658 cosh( (hyperbolic cosine), 496, 658 TI-83 Plus Index cosine (cos(), 63, 658 cross pixel mark (+), 235, 373 cube (3), 68, 693 cube root (3‡(), 68, 693 cubic regression (CubicReg), 359 - Texas Instruments TI-83-Plus | User Manual - Page 772
graph), 530, 660 display contrast, 8 display cursors, 12 DispTable (display table), 530, 661 DISTR (distributions menu), 424 DISTR DRAW (distributions drawing menu), 434 distribution functions TI-83 Plus 427, 687 tpdf(, 427, 687 distribution shading instructions ShadeÛ(, 437, 684 Shadec2(, 436, 684 - Texas Instruments TI-83-Plus | User Manual - Page 773
DuplicateName menu, 644 dx/dt operation on a graph, 152, 165 dy/dx operation on a graph, 152, 165, 175 -E- e (constant), 65 e^( (exponential), 65, 661 edit keys table, 17 Else, 514 End, 476, 515, 662 Eng (engineering notation mode), 20, 662 TI-83 Plus Index ENTRY (last entry key), 33 entry cursor - Texas Instruments TI-83-Plus | User Manual - Page 774
roots of a function, 203 sending variables, 629 solving a system of linear equations, 256 unit circle, 246 TI-83 Plus Index volume of a cylinder, 497 examples-miscellaneous calculating outstanding loan balances, 456 convergence, 195 daylight hours in Alaska, 363 predator-prey model, 197 exponential - Texas Instruments TI-83-Plus | User Manual - Page 775
273, 664 free-moving cursor, 132 TI-83 Plus Index frequency, 357 Full (full-screen mode), 25, 664 full-screen mode (Full), 25, 664 Func (function graphing mode), 23, 664 function graphing @X and @Y window variables, 124 accuracy, 132 CALC (calculate menu), 147 defining and displaying, 107 defining - Texas Instruments TI-83-Plus | User Manual - Page 776
, 665 GetCalc( (get data from TI.83), 533, 665 getKey, 531, 665 TI-83 Plus Index Getting Started. See examples, Getting Started Goto, 519, 665 graph database (GDB), 242 graph styles, 117 graphing modes, 23 graphing-order modes, 24 GraphStyle(, 524, 665 graph-table split-screen mode (G.T), 25, 252 - Texas Instruments TI-83-Plus | User Manual - Page 777
entering argument values, 390 graphing test results (Draw), 392 input descriptions table, 419 pooled option, 391 STAT TESTS menu, 394 test and interval output variables, 422 Input, 526, 527, 667 insert cursor, 12 TI-83 Plus Index inString( (in string), 492, 667 instruction, definition of, 16 int - Texas Instruments TI-83-Plus | User Manual - Page 778
graph style (ç), 117 line segments, drawing, 218 Line( (draw line), 220, 669 lines, drawing, 220, 221 LINK RECEIVE menu, 644 LINK SEND menu, 634 linking receiving items, 644 to a CBL 2/CBL or CBR, 633 to a PC or Macintosh, 633 to a TI.82, 641, 646 transmitting items, 629 two TI.83 Plus units, 638 TI - Texas Instruments TI-83-Plus | User Manual - Page 779
, 267 displaying matrix elements, 260 editing matrix elements, 262 TI-83 Plus Index indicator ([ ]), 265 inverse (L1), 271 math functions ), 81, 311, 670 maximum of a function (fMax(), 69, 663 maximum operation on a graph, 150 mean(, 312, 671 Med.Med (median-median), 358, 671 median(, 312, 671 - Texas Instruments TI-83-Plus | User Manual - Page 780
666 Horiz (screen), 25, 666 TI-83 Plus Index Normal (notation), 20, 672 Par/Param (graphing), 23, 674 Pol/Polar (graphing), 23, 675 Radian (angle), 22, 99, 678 re^qi (complex polar), 24, 84, 679 Real, 24, 679 Sci (notation), 20, 683 Seq (graphing), 23, 683 Sequential (graphing order), 24, 683 Simul - Texas Instruments TI-83-Plus | User Manual - Page 781
), 100, 678 P/Y (number-of-payment-periods-peryear variable), 444, 463 TI-83 Plus Index panning, 136 Par/Param (parametric graphing mode), 23, 674 parametric equations, 159 parametric graphing CALC (calculate operations on a graph), 165 defining and editing, 158, 159 free-moving cursor, 163 - Texas Instruments TI-83-Plus | User Manual - Page 782
, complex numbers, 87 polar graphing CALC (calculate operations on a graph), 175 defining and displaying, 168 equations, 169 free-moving cursor, 173 graph format, 171 graph styles, 169 mode (Pol/Polar), 23, 168, 675 moving the cursor to a value, 174 TI-83 Plus Index selecting and deselecting, 169 - Texas Instruments TI-83-Plus | User Manual - Page 783
505 inserting command lines, 508 instructions, 511 name (prgm), 522 360, 678 Quick Zoom, 136 Quit, 619, 645 TI-83 Plus Index quitting CBL/CBR, 480 -R- r (correlation coefficient , 468 RCL (recall), 31, 297 re^qi (polar complex mode), 24, 84, 679 Real mode, 24, 679 real( (real part), 89, 679 RealTme - Texas Instruments TI-83-Plus | User Manual - Page 784
680 rowSwap(, 281, 680 rref( (reduced-row-echelon form), 280, 681 TI-83 Plus Index -S- samples (# of), 475 Scatter plot type ("), 369 Sci (scientific , 635 Seq (sequence graphing mode), 23, 683 seq( (sequence), 302, 683 sequence graphing axes format, 187 CALC (calculate menu), 191 defining and - Texas Instruments TI-83-Plus | User Manual - Page 785
, 181 setting sequence mode, 179 TI.83 Plus versus TI.82 table, 202 tracing, 189 web plots, 193 window variables, 185 Y= editor, 180 ZOOM (zoom menu), 191 Sequential (graphing order mode), 24, 683 service information, 759 setting display contrast, 8 graph styles, 118 graph styles from a program, 120 - Texas Instruments TI-83-Plus | User Manual - Page 786
238, 254 square (2), 64, 694 square root (‡(), 64, 695 STAT CALC menu, 356 STAT EDIT menu, 348 stat list editor attaching formulas to 373 stat tests and confidence intervals c².Test (chi-square test), 412 TI-83 Plus Index 1.PropZInt (one-proportion z confidence interval), 410 1.PropZTest (one- - Texas Instruments TI-83-Plus | User Manual - Page 787
686 Store (!), 29, 686 StoreGDB, 242, 686 StorePic, 239, 686 storing graph databases (GDBs), 242 graph pictures, 239 variable values, 29 String4Equ( (string-to-equation conversions), 493, 686 strings TI-83 Plus Index concatenation (+), 490, 696 converting, 491 defined, 484 displaying contents, 488 - Texas Instruments TI-83-Plus | User Manual - Page 788
support, 758 Temperature, 468 Temp-Time, 468 TEST (relational menu), 101 TEST LOGIC (Boolean menu), 103 Text( instruction, 230, 254, 687 placing on a graph, 230, 254 Then, 513, 666 thick (è) graph style, 117 TI.82 link differences, 646 transmitting to/from, 644 TI.83 Link. See linking TI.83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 789
, 128, 135 Trace instruction in a program, 137, 688 transmitting error conditions, 652 from a TI.73 to a TI.83 Plus, 648 from a TI.82 to a TI.83 Plus, 646 lists to a TI.73, 642 lists to a TI.82, 641 lists to a TI.83 Plus, 648 stopping, 637 to an additional TI.83 Plus, 638 transpose matrix (T), 275 - Texas Instruments TI-83-Plus | User Manual - Page 790
, 468 Volt-Time, 468 TI-83 Plus Index vw/uvAxes (axes format), 187, 689 -W- w sequence function, 179 warranty information, 760 Web (axes format), 187, 689 web plots, 193 While, 516, 689 window variables function graphing, 121 parametric graphing, 161 polar graphing, 170 -X- x‡ (root), 69, 693 - Texas Instruments TI-83-Plus | User Manual - Page 791
, 141, 142, 143, 144, 145, 146 cursor, 139 factors, 145 function graphing, 138 parametric graphing, 165 polar graphing, 174 sequence graphing, 191 Zoom In (zoom in), 140, 690 ZOOM MEMORY menu, 144 ZOOM menu (use standard window), 142, 691 ZTrig (trigonometric window), 142, 692 TI-83 Plus Index 788 - Texas Instruments TI-83-Plus | User Manual - Page 792
Keys 4 Turning On and Turning Off the TI-83 Plus 6 Turning On the Calculator 6 Turning Off the Calculator 7 Batteries 7 Setting the Display Contrast 8 Adjusting and Instructions 13 What Is an Expression 13 Entering an Expression 13 Multiple Entries on a Line 14 TI-83 Plus Quick-Find - Texas Instruments TI-83-Plus | User Manual - Page 793
Entering a Number in Scientific Notation 14 Functions 15 Instructions 16 Interrupting a Calculation 16 TI-83 Plus Edit Keys 17 Setting Modes 19 Checking Mode Settings 19 Changing Mode Settings ENTRY (Last Entry) Storage Area 33 Using ENTRY (Last Entry 33 TI-83 Plus Quick-Find Locator ii - Texas Instruments TI-83-Plus | User Manual - Page 794
34 Multiple Entry Values on a Line 35 Clearing ENTRY 36 Using Ans in an Expression 36 Continuing an Expression 37 Storing Answers 38 TI-83 Plus Menus 39 Using a TI-83 Plus Menu 39 Displaying a Menu 40 Moving from One Menu to Another 41 Scrolling a Menu 41 Selecting an Item from a Menu 41 - Texas Instruments TI-83-Plus | User Manual - Page 795
-Based Laboratory™ (CBL 2™, CBL™) and Calculator-Based Ranger™ (CBR 52 Other TI-83 Plus Features 53 Graphing 53 Sequences 53 Tables 54 Split Screen 54 Matrices 54 Lists 55 Statistics 55 Inferential Statistics 55 Applications 56 CATALOG 56 Programming 57 Archiving 57 - Texas Instruments TI-83-Plus | User Manual - Page 796
solve( on the Home Screen or from a Program 78 MATH NUM (Number) Operations 79 MATH NUM Menu 79 abs 79 round 80 iPart(, fPart 80 TI-83 Plus Quick-Find Locator v - Texas Instruments TI-83-Plus | User Manual - Page 797
81 min(, max 81 lcm(, gcd 82 Entering and Using Complex Numbers 84 Complex-Number Modes 84 Entering Complex Numbers 85 Note about Radian Versus Degree Mode 85 Interpreting Complex 93 ! (Factorial 94 randInt 95 randNorm 95 randBin 96 ANGLE Operations 97 TI-83 Plus Quick-Find Locator vi - Texas Instruments TI-83-Plus | User Manual - Page 798
Operations 104 Chapter 3: Function Graphing 105 Getting Started: Graphing a Circle 105 Defining Graphs 107 TI-83 Plus-Graphing Mode Similarities 107 Defining a Graph 107 Displaying and Exploring a Graph 108 Saving a Graph for Later Use 108 Setting the Graph Modes 109 Checking and Changing - Texas Instruments TI-83-Plus | User Manual - Page 799
Screen or a Program 115 Setting Graph Styles for Functions 117 Graph Style Icons in the Y= Editor 117 Setting the Graph Style 118 Shading Above and Below 119 Setting a Graph Style from a Program 120 Setting the Viewing Window Variables 121 The TI-83 Plus Viewing Window 121 Displaying the - Texas Instruments TI-83-Plus | User Manual - Page 800
to the Left or Right 136 Quick Zoom 136 Leaving and Returning to TRACE 137 Using TRACE in a Program 137 Exploring Graphs with the ZOOM Instructions 138 ZOOM Menu 138 Zoom Cursor 139 ZBox 139 Zoom In, Zoom Out 140 ZDecimal 141 ZSquare 142 ZStandard 142 TI-83 Plus Quick-Find Locator ix - Texas Instruments TI-83-Plus | User Manual - Page 801
the CALC (Calculate) Operations 147 CALCULATE Menu 147 value 147 zero 148 minimum, maximum 150 intersect 151 dy/dx 152 ‰f(x)dx 153 Chapter 4: Parametric Graphing 154 Getting Started: Path of a Ball 154 Defining and Displaying Parametric Graphs 158 TI-83 Plus Graphing Mode Similarities - Texas Instruments TI-83-Plus | User Manual - Page 802
Moving the Trace Cursor to Any Valid T Value 164 ZOOM 165 CALC 165 Chapter 5: Polar Graphing 166 Getting Started: Polar Rose 166 Defining and Displaying Polar Graphs 168 TI-83 Plus Graphing Mode Similarities 168 Setting Polar Graphing Mode 168 Displaying the Polar Y= Editor 168 Selecting - Texas Instruments TI-83-Plus | User Manual - Page 803
to Any Valid q Value 174 ZOOM 174 CALC 175 Chapter 6: Sequence Graphing 176 Getting Started: Forest and Trees 176 Defining and Displaying Sequence Graphs 179 TI-83 Plus Graphing Mode Similarities 179 Setting Sequence Graphing Mode 179 TI-83 Plus Sequence Functions u, v, and w 179 Displaying - Texas Instruments TI-83-Plus | User Manual - Page 804
the Web 194 Using Web Plots to Illustrate Convergence 195 Example: Convergence 195 Graphing Phase Plots 197 Graphing with uv, vw, and uw 197 Example: Predator-Prey Model 197 Comparing TI-83 Plus and TI-82 Sequence Variables 201 Sequences and Window Variables 201 Keystroke Differences Between - Texas Instruments TI-83-Plus | User Manual - Page 805
Screen or a Program 221 Drawing Tangent Lines 222 Drawing a Tangent Line Directly on a Graph 222 Drawing a Tangent Line from the Home Screen or a Program.......223 Drawing Functions and Inverses 224 Drawing a Function 224 Drawing an Inverse of a Function 224 TI-83 Plus Quick-Find Locator xiv - Texas Instruments TI-83-Plus | User Manual - Page 806
TI-83 Plus Pixels 237 Turning On and Off Pixels with Pxl.On( and Pxl.Off 237 Using pxl.Test 238 Split Screen 238 Storing Graph Pictures (Pic 239 DRAW STO Menu 239 Storing a Graph Picture 239 Recalling Graph Pictures (Pic 241 Recalling a Graph Picture 241 Deleting a Graph Picture 241 TI-83 - Texas Instruments TI-83-Plus | User Manual - Page 807
Mode 251 G.T (Graph-Table) Split Screen 252 G.T Mode 252 Moving from Half to Half in G.T Mode 252 Using r in G.T Mode 253 Full Screens in G.T Mode 253 TI-83 Plus Pixels in Horiz and G.T Modes 254 TI-83 Plus Pixels in Horiz and G.T Modes 254 DRAW POINTS Menu Pixel Instructions 254 DRAW Menu - Texas Instruments TI-83-Plus | User Manual - Page 808
Using Math Functions with Matrices 269 Using Math Functions with Matrices 269 + (Add), - (Subtract), ä (Multiply 269 L (Negation 270 abs 271 round 271 M1 (Inverse 271 TI-83 Plus Quick-Find Locator xvii - Texas Instruments TI-83-Plus | User Manual - Page 809
280 ref(, rref 280 rowSwap 281 row 281 ärow 282 ärow 282 Chapter 11: Lists 283 Getting Started: Generating a Sequence 283 Naming Lists 286 Using TI-83 Plus List Names L1 through L6 286 TI-83 Plus Quick-Find Locator xviii - Texas Instruments TI-83-Plus | User Manual - Page 810
List to Another 289 Accessing a List Element 289 Deleting a List from Memory 289 Using Lists in Graphing 290 Entering List Names 291 Using the LIST NAMES Menu 291 Entering a User-Created List Name ( to Redimension a List 301 Fill 302 seq 302 cumSum 303 TI-83 Plus Quick-Find Locator xix - Texas Instruments TI-83-Plus | User Manual - Page 811
from the Stat List Editor 332 Removing All Lists and Restoring L1 through L6 333 Clearing All Elements from a List 333 Editing a List Element 334 TI-83 Plus Quick-Find Locator xx - Texas Instruments TI-83-Plus | User Manual - Page 812
Stat List Editor 351 Regression Model Features 352 Regression Model Features 352 Automatic Residual List 352 Automatic Regression Equation 353 Diagnostics Display Mode 354 STAT CALC Menu 356 STAT CALC Menu 356 TI-83 Plus Quick-Find Locator xxi - Texas Instruments TI-83-Plus | User Manual - Page 813
Analysis in a Program 367 Entering Stat Data 367 Statistical Calculations 367 Statistical Plotting 368 Steps for Plotting Statistical Data in Lists 368 " (Scatter 369 Ó (xyLine 369 Ò (Histogram 370 Õ (ModBoxplot 370 Ö (Boxplot 371 Ô (NormProbPlot 372 TI-83 Plus Quick-Find Locator xxii - Texas Instruments TI-83-Plus | User Manual - Page 814
a Hypothesis Test 392 Selecting Calculate for a Confidence Interval 392 Bypassing the Inferential Stat Editors 393 STAT TESTS Menu 394 STAT TESTS Menu 394 Inferential Stat Editors for the STAT TESTS Instructions 395 Z.Test 396 T.Test 397 2.SampZTest 399 TI-83 Plus Quick-Find Locator xxiii - Texas Instruments TI-83-Plus | User Manual - Page 815
DISTR menu 424 normalpdf 425 normalcdf 426 invNorm 426 tpdf 427 tcdf 427 c2pdf 428 c2cdf 429 Üpdf 429 Ücdf 430 binompdf 430 binomcdf 431 TI-83 Plus Quick-Find Locator xxiv - Texas Instruments TI-83-Plus | User Manual - Page 816
the TVM Solver 444 Using the Financial Functions 446 Entering Cash Inflows and Cash Outflows 446 FINANCE CALC Menu 446 TVM Solver 447 Calculating Time Value of Money (TVM 448 Calculating Time Value of Money 448 tvm_Pmt 449 tvm 449 tvm_PV 450 tvm 450 TI-83 Plus Quick-Find Locator xxv - Texas Instruments TI-83-Plus | User Manual - Page 817
bal 454 GPrn(, GInt 455 Amortization Example: Calculating an Outstanding Loan Balance 456 Calculating Interest Conversion 459 Calculating an Interest Conversion 459 4Nom 459 4Eff 459 the CBL/CBR Application 466 Data Collection Methods and Options 467 TI-83 Plus Quick-Find Locator xxvi - Texas Instruments TI-83-Plus | User Manual - Page 818
478 Starting Data Collection 479 Collecting the Data 479 Stopping Data Collection 480 Chapter 15: CATALOG, Strings, Hyperbolic Functions 481 Browsing the TI-83 Plus CATALOG 481 What Is the CATALOG 481 Selecting an Item from the CATALOG 482 Entering and Using Strings 484 What Is a String - Texas Instruments TI-83-Plus | User Manual - Page 819
Instructions in the CATALOG ......489 + (Concatenation 490 Selecting a String Function from the CATALOG 490 Equ4String 491 expr 491 inString 492 length 492 String4Equ 493 sub 493 Entering a Function to Graph Command Lines and Executing Programs 504 TI-83 Plus Quick-Find Locator xxviii - Texas Instruments TI-83-Plus | User Manual - Page 820
CTL (Control) Instructions 511 PRGM CTL Menu 511 Controlling Program Flow 512 If 512 If.Then 513 If.Then.Else 514 For 515 While 516 Repeat 517 End 518 Pause 518 Lbl, Goto 519 IS 520 DS 521 Menu 521 prgm 522 Return 523 Stop 523 DelVar 523 TI-83 Plus Quick-Find Locator - Texas Instruments TI-83-Plus | User Manual - Page 821
PRGM I/O (Input/Output) Instructions 525 PRGM I/O Menu 525 Displaying a Graph with Input 526 Storing a Variable Value with Input 527 Prompt 528 Displaying the Home Screen 528 Displaying Values and Messages 529 DispGraph 530 DispTable 530 Output 530 getKey 531 TI-83 Plus Key Code Diagram - Texas Instruments TI-83-Plus | User Manual - Page 822
Triangle 570 Setting up the Program 570 Program 570 Graphing Cobweb Attractors 572 Problem 572 Procedure 572 Using a Program to Guess the Coefficients 574 Setting Up the Program 574 Program 574 Graphing the Unit Circle and Trigonometric Curves 576 TI-83 Plus Quick-Find Locator xxxi - Texas Instruments TI-83-Plus | User Manual - Page 823
Problem 592 Procedure 592 Chapter 18: Memory and Variable Management 596 Checking Available Memory 596 MEMORY Menu 596 Displaying the MEMORY MANAGEMENT/DELETE Menu 597 Deleting Items from Memory 599 Deleting an Item 599 Clearing Entries and List Elements 601 Clear Entries 601 TI-83 Plus - Texas Instruments TI-83-Plus | User Manual - Page 824
a Message 623 Why Is Garbage Collection Necessary 623 How Unarchiving a Variable Affects the Process 625 If the MEMORY Screen Shows Enough Free Space 626 The Garbage Collection Process 626 Using the GarbageCollect Command 627 ERR:ARCHIVE FULL Message 628 TI-83 Plus Quick-Find Locator xxxiii - Texas Instruments TI-83-Plus | User Manual - Page 825
Two Calculators with a Unit-to-Unit Cable 633 Linking to the CBL/CBR System 633 Linking to a Computer 633 Selecting Items to Send 634 LINK SEND Menu 634 Sending the Selected Items 636 Stopping a Transmission 637 Sending to a TI-83 Plus Silver Edition or TI-83 Plus 638 Sending to a TI-83 640 - Texas Instruments TI-83-Plus | User Manual - Page 826
Appendix A: Tables and Reference Information 654 Table of Functions and Instructions 654 TI-83 Plus Menu Map 698 Variables 718 User Variables 718 Archive Variables 719 System Variables 719 Statistics Formulas 721 Logistic 721 SinReg 722 ANOVA 722 2.SampÜTest - Texas Instruments TI-83-Plus | User Manual - Page 827
756 Function Results 757 Support and Service Information 758 Product Support 758 Product Service 759 Warranty Information 760 Customers in the U.S. and Canada Only 760 Australia & New Zealand Customers only 761 All Customers Outside the U.S. and Canada 763 TI-83 Plus Quick-Find Locator
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 |
 |
07/23/03
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