Texas Instruments TI-83 Plus User Manual

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Page 1 TI-83 Plus Conic Graphing Getting Started How To… Examples More Information 11/6/02 Start here Start and Quit Conic Graphing Use Conic Window and Conic Zoom Graph and Trace a Conic Section Graphing a Circle Graphing an Ellipse Deleting Conic Graphing...
Page 2 Graphing product applications (Apps) are licensed. See the terms of the license agreement for this product. Windows, NT, Apple, and Mac are trademarks of their respective owners. TI-83 Plus Conic Graphing Page 2...
Page 3: Where To Find Installation Instructions
After you enter the store, follow the links to Computer Software, then TI-GRAPH LINK. You can download a free copy of the latest version of TI GRAPH LINK software from the Follow the links to Connectivity Software, then TI-GRAPH LINK.
Page 4: What Is Conic Graphing
What is Conic Graphing? Conic Graphing is a TI 83 Plus calculator software application that you can use to graph the four basic conic sections. The conic equations can be in function, parametric, and polar forms. Conic Graphing does not address degenerate cases of conic sections where the plane passes through the vertex resulting in a point, line, or two intersecting lines.
Page 5: Starting And Quitting Conic Graphing
2. Press cursor to Conics . The CONICS menu is displayed. TI-83 Plus Conic Graphing Quitting Conic Graphing to display the list From the to move the From any other screen: and press main Values you input in Conic...
Page 6: Getting Started
821). You can use Conic Graphing to trace the trajectory of Haley’s comet. Note To complete this exercise, you need to set your calculator to radian mode before you start the Conics application. To do this: 1. Press 2. Move the cursor to Radian, and press...
Page 7 ELLIPSE 3. Press 4. Select 5. Select settings. 6. Select 7. Press to select equation 4, R = TI-83 Plus Conic Graphing 1+e sin , then from the CONICS to display the CONIC SETTINGS to change the mode to polar.
Page 8 1: e = 0.97, p = .551 9. Press 10. Select Zoom Conic square. The graph of the ellipse is drawn. TI-83 Plus Conic Graphing to display the CONIC ZOOM so that the aspect ratio on the screen is screen.
Page 9 You can then press the opposite direction arrow to trace the object in the opposite direction. TI-83 Plus Conic Graphing to find the foci. One focus is the sun at 1.5708 radians. (If the calculator is in to trace the trajectory.
Page 10: Variables Used Or Modified By The Application
Variable type Y-vars Real number variables See the TI 83 Plus manual Getting Started section information about variables. TI-83 Plus Conic Graphing Variables used or modified Parametric equation editor: X1T, Y1T, X2T, Y2T Polar equation editor: r1...
Page 11 If the conic section is graphed outside of the viewing window, you must manually change the settings so that it will be displayed in the viewing window. TI-83 Plus Conic Graphing Description Plots functions where Y is a function of X...
Page 12 3. Press to move to 4. Press and press 5. Press to select previous screen. TI-83 Plus Conic Graphing . The CONIC SETTINGS to highlight a graphing type mode and press WINDOW SETTINGS to highlight AUTO to select it.
Page 13: Conic Graphing Options
Select INFO the application version number. Select QUIT Select Press a graphing key to select an option. TI-83 Plus Conic Graphing to display the information screen, which contains to exit Conic Graphing. to go back one screen. Page 13...
Page 14 You can only access the CONIC WINDOW screen if the mode is set to MAN. 5. Set the parameters (for example, provide first circle equation in function mode). TI-83 Plus Conic Graphing settings screen allows you to modify the CONICS , or...
Page 15 7. Change the window parameters as needed. 8. Press to return to the previous screen. Graphing Mode All modes Parametric mode TI-83 Plus Conic Graphing Window Description Parameter Xmin Smallest x value to be displayed in the viewing window Xmax...
Page 16 Conic Graphing allows you to graph a partial conic section. To do this, you must modify Tmin, Tmax, or Tstep (in parametric mode) or min, max, or step (in polar mode, for the ellipse and circle equations 1 and 2 only). TI-83 Plus Conic Graphing Window Description Parameter...
Page 17 You can only access the CONIC ZOOM screen after you have selected an equation to graph. You can only access the CONIC ZOOM screen if the mode is set to MAN. TI-83 Plus Conic Graphing settings screen allows you to adjust the viewing Page 17...
Page 18 Zoom In Zoom Out ZBox ZSquare ZStandard TI-83 Plus Conic Graphing Description Changes the zoom parameters so that you can see the important characteristics of the conic section in the viewing window, regardless of conic section’s position on the graph. Also, changes the viewing window so that X= Y, which makes the graph of a circle look like a circle.
Page 19 8. Select other zoom settings to see the differences in the graph. The graph is displayed after a zoom setting is selected (except for zoom settings that require another entry, such as Zoom In TI-83 Plus Conic Graphing CONICS and view the graph. Zoom Out main menu.
Page 20: Graphing A Conic Section
You can input a value with an unlimited number of digits, but Conic Graphing displays a rounded number to 14 digits. Conic Graphing works with 12-digit accuracy for all computations performed. TI-83 Plus Conic Graphing + (Y K) , you input values for H, K, Page 20...
Page 21 3. Select an equation for the conic section. A conic section may have more than one equation option for each mode. If an arrow appears below the equation number, you can press TI-83 Plus Conic Graphing ) and ) menus. (For example, you VARS to exit the MATH, TEST, or VARS menu, to see more equations.
Page 22 6. Press to escape from the graph screen. (The is not displayed on the graph screen, but is still available.) TI-83 Plus Conic Graphing to move the cursor to the next parameter. You to move from one parameter to the to graph the conic section.
Page 23 2. Press 3. Select Zoom In A free cursor is on the screen. TI-83 Plus Conic Graphing . A cursor appears on the conic section. to trace along the conic section. to move from one part of a hyperbola to the...
Page 24 Press without exiting the graph. TI-83 Plus Conic Graphing to move the cursor around on the to escape from the graph. so that the zoom can be carried out. Do not press...
Page 25 After you enter the values for each of the required variables, you can display information for the conic equation. Press to display the solution. Note You can only press equation screen. TI-83 Plus Conic Graphing to display the solution from the Page 25...
Page 26: Graphing Examples
The fixed point is the center of the circle; the constant distance is the radius. (X-2) + (Y-2) = 25: Radius 5 TI-83 Plus Conic Graphing Calculator mode Function Parametric Center (2,2) Polar Equations (X H)
Page 27 Graph an arc of a circle with radius = 8 whose center is at (0,0), using parametric mode. Note To complete this exercise, you need to set your calculator to radian mode before you start the Conic Graphing application. To do this: 1.
Page 28 Tmin = 2 (In degree mode, Tmax = 90. To change to degree Tmax mode, you must exit Conic Graphing.) TI-83 Plus Conic Graphing to return to the CIRCLE X = R cos (T) + H Y = R sin (T) + K...
Page 29 13. Press to graph the arc. You can change the values to display the Tmin Tmax graph of the arcs in different quadrants. TI-83 Plus Conic Graphing Page 29...
Page 30 The points where the focal axis and ellipse intersect are the ellipse's vertices. (Y-2) 25 + = 1: Focus (-4.583,2) Vertex Focal axis Major axis TI-83 Plus Conic Graphing Calculator mode Function Parametric Polar Focus (4.583,2) Vertex Center (0,2) Minor axis...
Page 31 7304.33 the sun) of 4434.99 shape using the polar form. Note To complete this exercise, you need to set your calculator to radian mode before you start the Conic Graphing application. To do this: 1. Press 2. Move the cursor to Radian, and press 3.
Page 32 = 1539.776 - (9.59) B = 1447.8095 = 38.05 2. Determine the eccentricity: 3. Determine the distance from the focus to the directrix, or p. Start the Conic Graphing application. TI-83 Plus Conic Graphing 48.83 + 29.65 = 39.24 29.65. then = (9.59)
Page 33 10. Select the equation 11. Enter the values for e and p, as defined above in steps 2 and 3. 12. Press 13. Press TI-83 Plus Conic Graphing from the CONICS to display the CONIC SETTINGS to change the mode to polar.
Page 34 14. Change the following parameters (determined by using the major and minor axis information): step = 30 Xmin = 48 Xmax Xscl = 45 Ymin = 45 Ymax Yscl TI-83 Plus Conic Graphing Page 34...
Page 35 You can then press the opposite direction arrow key to trace the orbit in the opposite direction. TI-83 Plus Conic Graphing to graph the orbit. Pluto’s orbit around the sun is elliptical, as you would expect.
Page 36 The points where the focal axis and hyperbola cross are the vertices. (X 3) (Y 2) = 1: Focus (-1.243,2) Focal axis TI-83 Plus Conic Graphing Calculator mode Function Parametric Vertices (0,2) and (6,2) Polar Focus (7.243,2)
Page 37 The equation of the cone of light is The equation of the wall is: Z = 3. 1. Substitute z into the equation and solve: 16(3) = -16 = 16 9 = 1 TI-83 Plus Conic Graphing = 0. Page 37...
Page 38 9. Enter the values for A, B, H and K. From the solution in step 1, we know that A problem states that the light bulb is at the origin, so (H,K) is (0,0). TI-83 Plus Conic Graphing application. from the CONICS main menu. to display the CONIC SETTINGS to change the mode to functional.
Page 39 10. Press slope of the asymptotes. 11. Press 12. Select Zoom Conic drawn. TI-83 Plus Conic Graphing to find the center, vertices, foci, and to change CONIC ZOOM . The graph of the shape of the shadow is settings. Page 39...
Page 40 The point where the focal axis intersects the parabola is the vertex. (Y 2) = 8 (X 3): Directrix X=1 Vertex (3,2) Focal axis TI-83 Plus Conic Graphing Calculator mode Function Parametric Polar Focus (5,2) Equations...
Page 41 Equations of a projectile in motion: X = V cos ( ) T Y= V sin ( ) T TI-83 Plus Conic Graphing Givens: 2 GT G = 32 ft/sec From cos ( ) = sin ( ) =...
Page 42 Substitute Complete the square: 2. Start the Conic Graphing application. 3. Select PARABOLA 4. Press 5. Select TI-83 Plus Conic Graphing 32 T2, then 52 for T: Y = 39 from the CONICS to display the CONIC SETTINGS to change the mode to parametric.
Page 43 9. Enter the values for A, H and K: 10. Press 11. Select Zoom Conic 12. Press to escape from the graph screen. TI-83 Plus Conic Graphing so that you can manually change window to return to the PARABOLA X = T + H Y = AT...
Page 44 15. Change the following variables to see the graph from the origin. Xmin = 125 Xmax Xscl Ymin = 25 Ymax Yscl TI-83 Plus Conic Graphing to find the vertex, focus, and directrix. to change the CONIC WINDOW settings. Page 44...
Page 45 16. Press to graph the parabola. 17. Press to trace the trajectory. TI-83 Plus Conic Graphing Page 45...
Page 46 Directrix Eccentricity Ellipse Focus TI-83 Plus Conic Graphing Definition A straight line associated with a curve such that as a point moves along an infinite branch of the curve, the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line.
Page 47 Semi-minor axis Slope Vertex TI-83 Plus Conic Graphing Definition A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant. The axis passing through the foci of an ellipse.
Page 48 Deleting Conic Graphing from the TI-83 Plus To delete the application from your calculator: 1. From the home screen, press MEMORY menu. 2. Select Mem Mgmt/Del 3. Use 4. Use with the cursor. 5. Press 6. Select TI-83 Plus Conic Graphing...
Page 49: Error Recovery Instructions
The curve does not display correctly, or a partial curve displays. Window range error or zoom error Invalid input TI-83 Plus Conic Graphing Make this change: The parameters you entered may be outside of the acceptable range for the calculator.
Page 50 The application variable (AppVar) named CONICSD has been corrupted, or another application variable uses the same name. Delete the AppVar, or use TI- GRAPH LINK to remove it and save it on your computer. The AppVar CONICSD cannot be modified.
Page 51 Window range error or zoom error. Values out of range for computation. Recheck window settings. TI-83 Plus Conic Graphing Make this change: Change the parameter so that A < 0 or A > 0. Change the parameter so that p <...
Page 52 Values out of range for computation. Recheck window settings Parameters create a non-real answer TI-83 Plus Conic Graphing Make this change: Change the parameter so that R Change the parameter so that A Change the parameter so that b < 1 12 (occurs only in polar mode in equation 3).
Page 53 Allowed parameter values: B > 0 Allowed parameter values: e > 1 Allowed parameter values: p Window range error or zoom error TI-83 Plus Conic Graphing Make this change: If the calculator is in FUNC or PAR mode, change the parameters so...
Page 54 Recheck window settings. Allowed parameter values: 0 < e < 1 Allowed parameter values: p TI-83 Plus Conic Graphing Make this change: Change the parameter so that A > B and B > 0. Change the parameter so that 0 <...
Page 55: Installation Error Messages
Link > menu in TI GRAPH LINK for the Receive Flash Software TI 83 Plus. You can reload it to the TI 83 Plus later using the menu in TI GRAPH LINK. Link > Send Flash Software TI-83 Plus Conic Graphing...
Page 56 TI 83 Plus. The problem is usually associated with the TI GRAPH LINK cable and its connection to the TI 83 Plus and/or to the computer. Make sure the cable is firmly inserted in the calculator I/O port and the computer. Verify that the correct cable type is selected in TI GRAPH LINK.
Page 57 If you continue to receive this error, contact TI Cares. Other Errors See pages B-6 through B-10 in the TI 83 Plus manual information about the specific error or contact TI Cares. TI-83 Plus Conic Graphing Page 57...
Page 58: Verify Operating System Version And Id Number
Miscellaneous Verify Operating System Version and ID Number Conic Graphing is compatible with TI 83 Plus operating system 1.12 and higher. To verify your operating system version number: 1. From the home screen, press 2. Select 1: ABOUT The operating system version number is displayed below the calculator name and has the format x.yy.
Page 59: Verify Flash Application Version
(Flash) to load the application and 1250 bytes of RAM to run the application. There are approximately 160K bytes total archive memory in the TI 83 Plus, and 1.5M bytes in the TI 83 Plus Silver Edition. For more information about memory and memory management, refer to the...
Page 60: For General Information
Texas Instruments (TI) Support and Service Information For general information E-mail: Phone: Home page: For technical questions Phone For product (hardware) service Customers in the US, Canada, Mexico, Puerto Rico, and Virgin Always contact TI Customer Support before Islands: returning a product for service.
Page 61: Works Cited
NASA Goddard Space Flight Center. 2001. Pluto Fact Sheet. Greenbelt, MD: Author. Retrieved February 9, 2001 from the Planetary/Lunar Sciences database of the National Space Science Data Center on the World Wide Web: http://nssdc.gsfc.nasa.gov/planetary/factsheet/plutofact.html. TI-83 Plus Conic Graphing Page 61...
Page 62: End User License Agreement
If you make copies, do not delete the copyright notice, trademark, or protective notices from the copies. WARRANTY: TI does not warrant that the Licensed Materials or documentation will be free from errors or that they will meet your specific requirements. THE LICENSED MATERIALS ARE PROVIDED “AS IS”...
Page 63 Conic Settings ...11 Conic Graphing Options...13 Graphing a Conic Section ...21 Graphing Examples...26 Glossary ...46 Deleting Conic Graphing from the TI-83 Plus ...48 Error Recovery Instructions...49 Miscellaneous ...58 Texas Instruments (TI) Support and Service Information ...60 Works Cited ...61 End-User License Agreement ...62...

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