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TI-83
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 Texas
Instruments Incorporated.
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Windows is a registered trademark of Microsoft Corporation.
© 1996, 2000, 2001 Texas Instruments Incorporated.
8300INTR.DOC TI-83 Intl E
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Important Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an “as-is” basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and
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Table of Contents This manual describes how to use the TI.83 Graphing Calculator. Getting Started is an overview of TI.83 features. Chapter 1 describes how the TI.83 operates. Other chapters describe various interactive features. Chapter 17 shows how to combine these features to solve problems. Getting Started: TI-83 Keyboard .......................................... 2 Do This First! TI-83 Menus ............................................. 4 First Steps.........................................
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Chapter 2: Getting Started: Coin Flip................................ 2-2 Math, Angle, and Keyboard Math Operations .............................. 2-3 Test Operations MATH Operations........................................ 2-5 Using the Equation Solver ............................... 2-8 MATH NUM (Number) Operations........................ 2-13 Entering and Using Complex Numbers................... 2-16 MATH CPX (Complex) Operations ....................... 2-18 MATH PRB (Probability) Operations..
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Chapter 6: Getting Started: Forest and Trees........................ 6-2 Sequence Defining and Displaying Sequence Graphs ............... 6-3 Graphing Selecting Axes Combinations ............................ 6-8 Exploring Sequence Graphs.............................. 6-9 Graphing Web Plots...................................... 6-11 Using Web Plots to Illustrate Convergence............... 6-12 Graphing Phase Plots.................................... 6-13 Comparing TI-83 and TI.82 Sequence Variabl
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Chapter 10: Getting Started: Systems of Linear Equations ............ 10-2 Matrices Defining a Matrix ........................................ 10-3 Viewing and Editing Matrix Elements.................... 10-4 Using Matrices with Expressions ........................ 10-7 Displaying and Copying Matrices ........................ 10-8 Using Math Functions with Matrices..................... 10-9 Using the MATRX MATH Operations ..................... 10-12 Chapter 11: Getting Started: Generating a Sequ
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Chapter 14: Getting Started: Financing a Car ......................... 14-2 Financial Getting Started: Computing Compound Interest.......... 14-3 Functions Using the TVM Solver .................................... 14-4 Using the Financial Functions ........................... 14-5 Calculating Time Value of Money (TVM) ................. 14-6 Calculating Cash Flows.................................. 14-8 Calculating Amortization ................................ 14-9 Calculating Interest Conversion.
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Chapter 18: Checking Available Memory ............................. 18-2 Memory Deleting Items from Memory ............................ 18-3 Management Clearing Entries and List Elements ...................... 18-4 Resetting the TI.83 ...................................... 18-5 Chapter 19: Getting Started: Sending Variables....................... 19-2 Communication TI-83 LINK ............................................... 19-3 Link Selecting Items to Send.................................. 19-4
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Getting Started: Do This First! TI-83 Keyboard .......................................... 2 Contents - TI 83 Menus ............................................. 4 First Steps............................................... 5 Entering a Calculation: The Quadratic Formula.......... 6 Converting to a Fraction: The Quadratic Formula........ 7 Displaying Complex Results: The Quadratic Formula .... 8 Defining a Function: Box with Lid ....................... 9 Defining a Table of Values: Box with Lid...
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TI-83 Keyboard Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator keys. Keyboard Zones Graphing keys access the interactive graphing features. Editing keys allow you to edit expressions and values. Advanced function keys display menus that access the advanced functions. Scientific calculator keys access the capabilities of a standard scientific calculator. Graphing Keys Editing Keys Advanced Function Keys Scientific
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Using the The keys on the TI.83 are color-coded to help you easily Color-Coded locate the key you need. Keyboard The gray keys are the number keys. The blue keys along the right side of the keyboard are the common math functions. The blue keys across the top set up and display graphs. The primary function of each key is printed in white on the key. For example, when you press , the MATH menu is displayed. Using the y The secondary function of each key is printed in yellow and Keys above the k
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TI-83 Menus Displaying a Menu While using your TI.83, you often will need to access items from its menus. When you press a key that displays a menu, that menu temporarily replaces the screen where you are working. For example, when you press , the MATH menu is displayed as a full screen. After you select an item from a menu, the screen where you are working usually is displayed again. Moving from One Menu to Another Some keys access more than one menu. When you press such a key, the names of al
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First Steps Before starting the sample problems in this chapter, follow the steps on this page to reset the TI.83 to its factory settings and clear all memory. This ensures that the keystrokes in this chapter will produce the illustrated results. To reset the TI.83, follow these steps. 1. Press É to turn on the calculator. 2. Press and release y, and then press [MEM] (above Ã). When you press y, you access the operation printed in yellow above the next key that you press. [MEM] is the y operatio
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Entering a Calculation: The Quadratic Formula 2 Use the quadratic formula to solve the quadratic equations 3X + 5X + 2 = 0 2 2 and 2X N X + 3 = 0. Begin with the equation 3X + 5X + 2 = 0. 1. Press 3 ¿ [A] (above ) to 2 store the coefficient of the X term. 2. Press [ : ] (above Ë). The colon allows you to enter more than one instruction on a line. 3. Press 5 ¿ [B] (above ) to store the coefficient of the X term. Press [ : ] to enter a new instruction on the same line. Press 2 ¿ [C]
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Converting to a Fraction: The Quadratic Formula You can show the solution as a fraction. 1. Press to display the MATH menu. 4 2. Press 1 to select 1: Frac 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. To save keystrokes, you can recall the last expression you entered, and then edit it for a new calculation. 4. Press y [ENTRY] (above Í) to recall the frac
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Displaying Complex Results: The Quadratic Formula 2 Now solve the equation 2X N X + 3 = 0. When you set a+bi complex number mode, the TI.83 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 [QUIT] (above z) to return to the home screen, and then press to clear it. 3. Press 2 ¿ [A] [ : ] Ì 1 ¿ [B] [ : ] 3 ¿ [C] Í. 2 The coefficient of the X term, the coefficient of the
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Defining a Function: Box with Lid Take a 20 cm. × 25 cm. sheet of paper and cut X × X squares from two corners. Cut X × 12.5 cm. rectangles from the other two corners as shown in the diagram below. Fold the paper into a box with a lid. 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 X volume of the box. From the diagram: 2X + A = 20 20 A 2X + 2B = 25 V = A B X X B X
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Defining a Table of Values: Box with Lid The table feature of the TI.83 displays numeric information about a function. You can use a table of values from the function defined on page 9 to estimate an answer to the problem. 1. Press y [TBLSET] (above p) to display the TABLE SETUP menu. 2. Press Í to accept TblStart=0. 3. Press 1 Í to define the table increment @Tbl=1. Leave Indpnt: Auto and Depend: Auto so that the table will be generated automatically. 4. Press y [TABLE] (above s) to display the
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Zooming In on the Table: Box with Lid You can adjust the way a table is displayed to get more information about a defined function. With smaller values for @Tbl, you can zoom in on the table. 1. Press 3 Í to set TblStart. Press Ë 1 Í to set @Tbl. This adjusts the table setup to get a more accurate estimate of X for maximum volume Y1. 2. Press y [TABLE]. 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
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Setting the Viewing Window: Box with Lid You also can use the graphing features of the TI.83 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 of the window variables determine the size of the viewing window. 1. Press p to display the window editor, where you can view and edit the values of the window variables. The standard window variables define the Ymax viewing window a
