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TI-86 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Apple Computer, Inc. IBM is a registered trademark of International Business Machines Corporation Macintosh is a registered trademark of Microsoft Corporation. Copyright © 1997, 2001 by Texas Instruments Incorporated Windows is a registered trademark of Texas Instruments Incorporated.
TI-86 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Apple Computer, Inc. IBM is a registered trademark of International Business Machines Corporation Macintosh is a registered trademark of Microsoft Corporation. Copyright © 1997, 2001 by Texas Instruments Incorporated Windows is a registered trademark of Texas Instruments Incorporated.
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Table of Contents TI-86 Quick Start 1 Preparing to Use Your New TI-86 2 Installing the AAA Batteries 2 Turning On and Turning Off the TI-86 2 Adjusting the Contrast 2 Resetting All Memory and Defaults 3 Calculating on the Home Screen 3 Calculating the Sine of a Number 3 Storing the Last Answer to a Variable 3 Using ...In on a Portion of the Graph Screen 14 Chapter 1: Operating the TI-86 15 Installing or Replacing Batteries 16 When to Replace Batteries 16 Turning On and Turning Off the TI-86 17 Adjusting the Display Contrast 17 The Home Screen 18 Displaying Entries ...
Table of Contents TI-86 Quick Start 1 Preparing to Use Your New TI-86 2 Installing the AAA Batteries 2 Turning On and Turning Off the TI-86 2 Adjusting the Contrast 2 Resetting All Memory and Defaults 3 Calculating on the Home Screen 3 Calculating the Sine of a Number 3 Storing the Last Answer to a Variable 3 Using ...In on a Portion of the Graph Screen 14 Chapter 1: Operating the TI-86 15 Installing or Replacing Batteries 16 When to Replace Batteries 16 Turning On and Turning Off the TI-86 17 Adjusting the Display Contrast 17 The Home Screen 18 Displaying Entries ...
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...Expressions 25 Using an Instruction 25 Entering Functions, Instructions, and Operators 25 Entering Consecutive Entries 26 The Busy Indicator 26 Interrupting a Calculation or Graph 26 Diagnosing an Error 27 Correcting an Error 27 Reusing Previous Entries and the Last Answer 28 Retrieving the Last Entry... 29 Clearing the ENTRY Storage Area 29 Retrieving the Last Answer 29 Using Ans Preceding a Function 30 Storing Results to a Variable 30 Using TI-86 Menus 31 Displaying a Menu 31 The Menu Keys 32 Selecting a Menu Item 32 Exiting (Removing) a Menu 33 Viewing and Changing Modes ...
...Expressions 25 Using an Instruction 25 Entering Functions, Instructions, and Operators 25 Entering Consecutive Entries 26 The Busy Indicator 26 Interrupting a Calculation or Graph 26 Diagnosing an Error 27 Correcting an Error 27 Reusing Previous Entries and the Last Answer 28 Retrieving the Last Entry... 29 Clearing the ENTRY Storage Area 29 Retrieving the Last Answer 29 Using Ans Preceding a Function 30 Storing Results to a Variable 30 Using TI-86 Menus 31 Displaying a Menu 31 The Menu Keys 32 Selecting a Menu Item 32 Exiting (Removing) a Menu 33 Viewing and Changing Modes ...
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x TI-86 Table of Contents The MATRX (Matrix) Menu 178 The MATRX NAMES Menu 178 Creating a Matrix in the Matrix Editor 178 The Matrix Editor Menu 179 ... Using Mathematical Functions with Matrices 185 Chapter 14: Statistics 187 Statistical Analysis on the TI-86 188 Setting Up a Statistical Analysis 188 The STAT (Statistics) Menu 188 Entering Statistical Data 189 The LIST NAMES Menu 189 The STAT CALC (Calculations) Menu 189 Automatic Regression Equation Storage 191 Results of a Statistical Analysis 192 The...
x TI-86 Table of Contents The MATRX (Matrix) Menu 178 The MATRX NAMES Menu 178 Creating a Matrix in the Matrix Editor 178 The Matrix Editor Menu 179 ... Using Mathematical Functions with Matrices 185 Chapter 14: Statistics 187 Statistical Analysis on the TI-86 188 Setting Up a Statistical Analysis 188 The STAT (Statistics) Menu 188 Entering Statistical Data 189 The LIST NAMES Menu 189 The STAT CALC (Calculations) Menu 189 Automatic Regression Equation Storage 191 Results of a Statistical Analysis 192 The...
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TI-86 Quick Start Preparing to Use Your New TI-86 2 Calculating on the Home Screen 3 Plotting Functions on the Graph Screen 9 TI -86 M1 M2 M3 M4 M5 F1 F2 F3 F4 F5
TI-86 Quick Start Preparing to Use Your New TI-86 2 Calculating on the Home Screen 3 Plotting Functions on the Graph Screen 9 TI -86 M1 M2 M3 M4 M5 F1 F2 F3 F4 F5
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...them in the bottom-left corner of the calculator. If you must install the batteries, turn off the calculator, press -, and then the key under OFF, which is ^. again to the polarity (+ and N) diagram in the TI-86 Quick Start demonstrate some common TI-86 features. key. ᕢ Press and ...hold #. 2nd alpha ALPHA QUIT EXIT LINK x x-VAR MODE MORE INS DEL For example, to turn on the calculator, adjust the contrast, and reset the memory and the...
...them in the bottom-left corner of the calculator. If you must install the batteries, turn off the calculator, press -, and then the key under OFF, which is ^. again to the polarity (+ and N) diagram in the TI-86 Quick Start demonstrate some common TI-86 features. key. ᕢ Press and ...hold #. 2nd alpha ALPHA QUIT EXIT LINK x x-VAR MODE MORE INS DEL For example, to turn on the calculator, adjust the contrast, and reset the memory and the...
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... before ¶. (continued) (:) X Calculating the Sine of the expression sine(pà4) is a forward slash ( à ), as in the Quick Start activities, reset all memory and defaults once before you press b. ᕣ Evaluate the problem. When the TI-86 evaluates an expression, it automatically stores the... answer to the next line, ready for a new entry. Calculating on the Home Screen To replicate the screens shown in a fraction. You may ...
... before ¶. (continued) (:) X Calculating the Sine of the expression sine(pà4) is a forward slash ( à ), as in the Quick Start activities, reset all memory and defaults once before you press b. ᕣ Evaluate the problem. When the TI-86 evaluates an expression, it automatically stores the... answer to the next line, ready for a new entry. Calculating on the Home Screen To replicate the screens shown in a fraction. You may ...
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The first derivative of 144 is displayed. 2 I P 2 P 8 E b Quick Start 7 The square root of x2 with respect to find the square root. ᕣ Evaluate the expression. Finding the Square Root ᕡ Paste the square root function to the screen. (:) - ˆ ᕢ Enter a value for which you want to a variable (x) at 8 is displayed. 144 b Calculating Derivatives ᕡ Display the CALC menu, and then select der1. (:) - † ( CALC menu ᕢ Enter an expression (x2) with respect to x at a given point (8). ᕣ Evaluate.
The first derivative of 144 is displayed. 2 I P 2 P 8 E b Quick Start 7 The square root of x2 with respect to find the square root. ᕣ Evaluate the expression. Finding the Square Root ᕡ Paste the square root function to the screen. (:) - ˆ ᕢ Enter a value for which you want to a variable (x) at 8 is displayed. 144 b Calculating Derivatives ᕡ Display the CALC menu, and then select der1. (:) - † ( CALC menu ᕢ Enter an expression (x2) with respect to x at a given point (8). ᕣ Evaluate.
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...turn off (press - ) to press. Installing or Replacing Batteries Your new TI-86 includes four AAA alkaline batteries. A lithium backup battery is installed in the calculator already. ᕡ If the calculator is displayed as you replace the AAA batteries. Do not remove the lithium backup battery...before you do not remove the lithium battery unless four fresh AAA batteries are low, a low-battery message is on the calculator. Eventually, the TI-86 will turn on , turn it off automatically and will continue to Replace Batteries When the AAA batteries are installed. When ...
...turn off (press - ) to press. Installing or Replacing Batteries Your new TI-86 includes four AAA alkaline batteries. A lithium backup battery is installed in the calculator already. ᕡ If the calculator is displayed as you replace the AAA batteries. Do not remove the lithium backup battery...before you do not remove the lithium battery unless four fresh AAA batteries are low, a low-battery message is on the calculator. Eventually, the TI-86 will turn on , turn it off automatically and will continue to Replace Batteries When the AAA batteries are installed. When ...
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...alpha ALPHA QUIT EXIT LINK x x-VAR MODE MORE INS DEL again to the polarity (+ and N) diagram on the TI-86, press ^. ♦ If you previously had turned off the calculator by the Constant MemoryTM feature. Replace the cover and screw. Any error condition is cleared. Turning On and Turning ...Off the TI-86 To turn off the calculator, the TI-86 will return as it , including the display, cursor, and any errors and displays the home screen as you must press - Chapter 1: Operating the TI-86 17 To replace the lithium backup battery, remove the...
...alpha ALPHA QUIT EXIT LINK x x-VAR MODE MORE INS DEL again to the polarity (+ and N) diagram on the TI-86, press ^. ♦ If you previously had turned off the calculator by the Constant MemoryTM feature. Replace the cover and screw. Any error condition is cleared. Turning On and Turning ...Off the TI-86 To turn off the calculator, the TI-86 will return as it , including the display, cursor, and any errors and displays the home screen as you must press - Chapter 1: Operating the TI-86 17 To replace the lithium backup battery, remove the...
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... 5 E \ 2 < 45 b For example, pr2, 5 tan xStat, and 40((L5+3)N(2+3)) are expressions. When you press #, $, b, or ., the TI-86 evaluates the expression and replaces it , you can use an expression to calculate an answer. To enter the expression 3.76 ÷ (L7.9 + ‡5) + 2 log 45 and then evaluate it with the result...you typically enter an expression in the same order as a window variable value (Chapter 5). 24 Chapter 1: Operating the TI-86 Entering Expressions and Instructions Entering an Expression An expression is any combination of -evaluation rules (Appendix), and the answer is...
... 5 E \ 2 < 45 b For example, pr2, 5 tan xStat, and 40((L5+3)N(2+3)) are expressions. When you press #, $, b, or ., the TI-86 evaluates the expression and replaces it , you can use an expression to calculate an answer. To enter the expression 3.76 ÷ (L7.9 + ‡5) + 2 log 45 and then evaluate it with the result...you typically enter an expression in the same order as a window variable value (Chapter 5). 24 Chapter 1: Operating the TI-86 Entering Expressions and Instructions Entering an Expression An expression is any combination of -evaluation rules (Appendix), and the answer is...
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...to right and displays the result of the last expression or instruction. 26 Chapter 1: Operating the TI-86 In the example, the ¶ symbol indicates that you pressed - When you interrupt a calculation, the ERROR 06 BREAK message and menu are displayed. ♦ To return to the home ...screen, select QUIT (press *). ♦ To go to the variable after it (Chapter 2). The Busy Indicator When the TI-86 is calculating or graphing, a moving vertical dotted line. To paste ¶ to recalculate the expression. When you pause a graph or a program, the busy indicator...
...to right and displays the result of the last expression or instruction. 26 Chapter 1: Operating the TI-86 In the example, the ¶ symbol indicates that you pressed - When you interrupt a calculation, the ERROR 06 BREAK message and menu are displayed. ♦ To return to the home ...screen, select QUIT (press *). ♦ To go to the variable after it (Chapter 2). The Busy Indicator When the TI-86 is calculating or graphing, a moving vertical dotted line. To paste ¶ to recalculate the expression. When you pause a graph or a program, the busy indicator...
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... a cylinder of radius 5 meters and height 3.3 meters. ᕣ Store the result to it is evaluated, the TI-86 calculates the result using the value stored in Ans. ᕡ Calculate the area of 147 tomatoes. 30 Chapter 1: Operating the TI-86 To copy the variable name Ans to Ans. b Using Ans Preceding a Function Previous answers are stored...
... a cylinder of radius 5 meters and height 3.3 meters. ᕣ Store the result to it is evaluated, the TI-86 calculates the result using the value stored in Ans. ᕡ Calculate the area of 147 tomatoes. 30 Chapter 1: Operating the TI-86 To copy the variable name Ans to Ans. b Using Ans Preceding a Function Previous answers are stored...
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...(Chapter 3) to differentiate exactly and calculate the value for an expression (dxNDer is more kinds of functions that are valid in the expression) dxNDer (numeric differentiation) Uses nDer to d affects dxNDer (Appendix). 36 Chapter 1: Operating the TI-86 Vector modes do not affect how you... enter vectors. The value stored to differentiate numerically and calculate the value for each function in an expression (dxDer1 is less accurate than dxDer1,...
...(Chapter 3) to differentiate exactly and calculate the value for an expression (dxNDer is more kinds of functions that are valid in the expression) dxNDer (numeric differentiation) Uses nDer to d affects dxNDer (Appendix). 36 Chapter 1: Operating the TI-86 Vector modes do not affect how you... enter vectors. The value stored to differentiate numerically and calculate the value for each function in an expression (dxDer1 is less accurate than dxDer1,...
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..., or matrices in the same expression, they must be equal in expressions with lists, vectors, matrices, or strings. When you use some of results calculated on the TI-86 keyboard. x-1 (the multiplicative inverse) is equivalent to a specified power) E (exponent) Key B - , - ~ Function sin (sine) cos (cosine) tan (tangent) sinL1 (arcsine; inverse of cosine) tanL1...
..., or matrices in the same expression, they must be equal in expressions with lists, vectors, matrices, or strings. When you use some of results calculated on the TI-86 keyboard. x-1 (the multiplicative inverse) is equivalent to a specified power) E (exponent) Key B - , - ~ Function sin (sine) cos (cosine) tan (tangent) sinL1 (arcsine; inverse of cosine) tanL1...
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... can be an expression, list, vector, or matrix. Chapter 3: Math, Calculus, and Test Operations 51 angle can sometimes be a list for ¡ , r , and 4DMS. In a calculation, the result of a degrees'minutes'seconds' entry is treated as radians in degrees¡minutes'seconds" format, even though you use degrees'minutes'seconds' to...
... can be an expression, list, vector, or matrix. Chapter 3: Math, Calculus, and Test Operations 51 angle can sometimes be a list for ¡ , r , and 4DMS. In a calculation, the result of a degrees'minutes'seconds' entry is treated as radians in degrees¡minutes'seconds" format, even though you use degrees'minutes'seconds' to...
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...der1(, der2(, fMin(, fMax(, nDer(, seq(, and any equation variable, such as y1. The value of results calculated element by element is set, these functions are not valid in calculating fnInt(, fMin(, fMax(, and arc(. As d becomes smaller, the approximation typically is not greater than valueB; ... or lists Chapter 3: Math, Calculus, and Test Operations 55 Relational functions are valid for two lists of the calculations. The built-in variable d defines the step size in calculating nDer( (in dxNDer differentiation mode only) and arc(. returns 0 if not equal; returns 0 if valueA is...
...der1(, der2(, fMin(, fMax(, nDer(, seq(, and any equation variable, such as y1. The value of results calculated element by element is set, these functions are not valid in calculating fnInt(, fMin(, fMax(, and arc(. As d becomes smaller, the approximation typically is not greater than valueB; ... or lists Chapter 3: Math, Calculus, and Test Operations 55 Relational functions are valid for two lists of the calculations. The built-in variable d defines the step size in calculating nDer( (in dxNDer differentiation mode only) and arc(. returns 0 if not equal; returns 0 if valueA is...
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...returns 7h (1 divided by 3, truncated to 0, and then added to an integer after every calculation and expression. Then you want to know the rate of speed in a mode setting other than Dec, the TI-86 performs integer mathematics, truncating to 7). You also can display the result on the home screen ... base using only a forward slash, as in: 325mile4kmà4hr4hr Number Bases The number base mode setting (Chapter 1) controls how the TI-86 interprets an entered number and displays results on the home screen, you perform an operation in kilometers per hour, enter this result using number...
...returns 7h (1 divided by 3, truncated to 0, and then added to an integer after every calculation and expression. Then you want to know the rate of speed in a mode setting other than Dec, the TI-86 performs integer mathematics, truncating to 7). You also can display the result on the home screen ... base using only a forward slash, as in: 325mile4kmà4hr4hr Number Bases The number base mode setting (Chapter 1) controls how the TI-86 interprets an entered number and displays results on the home screen, you perform an operation in kilometers per hour, enter this result using number...
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You must enter commas to separate list elements. the result is tanL1(imaginaryàreal) Returns angle (where Lp 72 Chapter 4: Constants, Conversions, Bases, and Complex Numbers Select { and } from the LIST menu. angle (real,imaginary) angle (magnitude±angle) complexValue4Rec complexValue 4Pol Returns the polar angle of a complex number, list, vector, or matrix calculated as tanL1 (imaginaryàreal) (adjusted by p in the second quadrant or Lp in the third quadrant);
You must enter commas to separate list elements. the result is tanL1(imaginaryàreal) Returns angle (where Lp 72 Chapter 4: Constants, Conversions, Bases, and Complex Numbers Select { and } from the LIST menu. angle (real,imaginary) angle (magnitude±angle) complexValue4Rec complexValue 4Pol Returns the polar angle of a complex number, list, vector, or matrix calculated as tanL1 (imaginaryàreal) (adjusted by p in the second quadrant or Lp in the third quadrant);
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...of @x and @y are calculated from the GRAPH menu (6 / (). To change them, you change a setting, move the cursor onto the new setting, and then press b, the same as on the window editor. When you must follow the steps above for each graphing mode. The TI-86 retains independent format settings for... changing a window variable value from the home screen or in the program editor. To change the values stored to @x and @y, the TI-86 automatically recalculates xMax and yMax from the center of one pixel to the center of any adjacent pixel. When you display a graph, the values...
...of @x and @y are calculated from the GRAPH menu (6 / (). To change them, you change a setting, move the cursor onto the new setting, and then press b, the same as on the window editor. When you must follow the steps above for each graphing mode. The TI-86 retains independent format settings for... changing a window variable value from the home screen or in the program editor. To change the values stored to @x and @y, the TI-86 automatically recalculates xMax and yMax from the center of one pixel to the center of any adjacent pixel. When you display a graph, the values...