Texas Instruments -83 Plus Silver Edion Manual de usuario

TI-83 Plus

Conic Graphing

Getting Started

Start here

How To…

Start and Quit Conic Graphing

Use Conic Window and Conic Zoom

Graph and Trace a Conic Section

Examples

Graphing a Circle Graphing a Hyperbola

Graphing an Ellipse Graphing a Parabola

More Information

Deleting Conic Graphing Customer Support

Error Recovery Glossary

TI-83 Plus Conic Graphing Page 2

Important Information

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 exclusive liability of Texas

Instruments, regardless of the form of action, shall not exceed the

purchase price of this item or material. Moreover, Texas

Instruments shall not be liable for any claim of any kind

whatsoever against the use of these materials by any other party.

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 3

Where to Find Installation Instructions

You can find detailed instructions on installing this and other free

Flash applications in the guides section of education.ti.com.

Follow the link to Flash Installation Instructions.

Installing this application requires TIGRAPH LINKËsoftware

and link cable. You can purchase a link cable from the online

store. 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 software section of education.ti.com.

Follow the links to Connectivity Software, then TI-GRAPH LINK.

TI-83 Plus Conic Graphing Page 4

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.

Ellipse

Circle

Parabola

Hyperbola

TI-83 Plus Conic Graphing Page 5

Starting and Quitting Conic Graphing

Starting Conic Graphing

Quitting Conic Graphing

1. Press nto display the list

of applications on your

calculator.

2. Press `or hto move the

cursor to Conics and press

¯. The CONICS main

menu is displayed.

From the CONICS main menu:

Select QUIT.

From any other screen:

Press \[QUIT].

Values you input in Conic

Graphing are saved in an

application variable (AppVar) when

you exit the application. The next

time you run the application, the

last values you entered will be

displayed.

TI-83 Plus Conic Graphing Page 6

Getting Started

Work through this exercise to become familiar with the basic features of the Conic

Graphing application. In this exercise, you trace the trajectory of Haley’s comet.

One of the more common uses of conics is to show the orbits of

planets and other astronomical bodies. Planets have closed

orbits that are almost circular, while comets have highly elliptical

orbits. For example, Haley’s comet follows a long path out from

the sun, but passes very close to the sun when it returns to the

solar system. It has a major axis of 36.18 astronomical units, and

an eccentricity of 0.97 (Larsen, Hostetler, and Edwards. 1997,

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 ¯.

3. Press sto exit the mode screen.

TI-83 Plus Conic Graphing Page 7

1. We know the following: r = 2ep

1+e sin T, e = 0.97, and

2a ≈36.18. Find p, the halfway point of the distance from the

focus to the directrix.

r1=

sin1

r2=

sin1

2a ≈36.18 ≈r1+ r2,then

36.18 ≈

sin1

Thus, p = .551

2. Select ELLIPSE from the CONICS main menu.

3. Press ]to display the CONIC SETTINGS screen.

4. Select POL to change the mode to polar.

5. Select Man so that you can manually change window

settings.

6. Select ESC to return to the ELLIPSE screen.

7. Press hto select equation 4, R = 2ep

1 + e sin (T).

TI-83 Plus Conic Graphing Page 8

8. Enter these parameters for e and p, as defined above in step

1: e = 0.97, p = .551

9. Press Tto display the CONIC ZOOM screen.

10. Select Zoom Conic so that the aspect ratio on the screen is

square. The graph of the ellipse is drawn.

The center (0, S

2) is

the sun. The graph

shows the path

around the sun.

To see this graph,

press T, and

select ZStandard,

then press T,

and select ZoomIn.

Press ¯with the

cursor near the

origin.

TI-83 Plus Conic Graphing Page 9

11. Press Rto exit the graph screen.

12. Press e?to find the foci. One focus is the sun at

distance 0, angle S

2, ≈1.5708 radians. (If the calculator is in

degree mode, the distance is 0 and the angle is 90 degrees.

To change to degree mode, you must exit Conic Graphing.)

13. Press Uto trace the trajectory.

Note

Conic Graphing does not allow for continuous tracing. For

example, after you trace the entire ellipse, the tracing stops. You

can then press the opposite direction arrow to trace the object in

the opposite direction.

TI-83 Plus Conic Graphing Page 10

Variables Used or Modified by the Application

Conic Graphing modifies various calculator and window

variables.

•Y-vars in the list below are modified, but are not restored

when you exit the application.

•Real number variables in the list below are modified, but are

restored after you exit the application.

•If any of the variables were archived, Conic Graphing

unarchives them, but does not archive them again after you

exit the application.

Variable type

Variables used or modified

Y-vars

Parametric equation editor: X1T, Y1T, X2T, Y2T

Polar equation editor: r1

Real number

variables

A, B, C, D, E, F, G, H, J, K, L, M, N, O, P, Q, R,

S, T, U, W, X, Y, Z, T

See the TI83 Plus manual Getting Started section for more

information about variables.

Otros manuales para -83 Plus Silver Edion

Este manual sirve para los siguientes modelos

Tabla de contenidos

Otros manuales de Software de Texas Instruments

Texas Instruments

Texas Instruments -83 Plus Silver Edion Manual de usuario

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments DSP/BIOS Real-Time Analysis (RTA) Manual de usuario

Texas Instruments

Texas Instruments Derive 5 Manual de referencia

Texas Instruments

Texas Instruments TI-86 - ViewScreen Calculator Manual

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments Titanium TI-89 Manual

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments TMS320C64x DSP Manual de usuario

Texas Instruments

Texas Instruments Puzzle Tanks Manual de usuario

Texas Instruments

Texas Instruments TI-73 Explorer Manual

Texas Instruments

Texas Instruments TI-Nspire Manual

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments TI InterActive! Manual de usuario

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments TI-GRAPH LINK 2 Manual

Texas Instruments

Texas Instruments TI-73 Explorer Manual de usuario

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual

Texas Instruments

Texas Instruments -83 Plus Silver Edion Manual de usuario

Texas Instruments

Texas Instruments TI-73 Explorer Manual

Texas Instruments

Texas Instruments TI-83 Plus Silver Edition Manual de usuario

Manuales populares de Software de otras marcas

COMPRO

COMPRO COMPROFM Manual de usuario

Muratec

Muratec OFFICEBRIDGE ONLINE Manual de usuario

Oracle

Oracle Contact Center Anywhere 8.1 Manual de usuario

Adobe

Adobe 65007312 - Photoshop Lightroom Manual

Avaya

Avaya NULL One-X for RIM Blackberry Manual de usuario

HP ProLiant BL420c Manual de usuario

PS Audio

PS Audio PowerPlay Manual del propietario

Brady

Brady LOCKOUT PRO 3.0 Manual de servicio

Avaya

Avaya Interaction Center Manual de usuario

Novell

Novell GROUPWISE 8 - INTERNET AGENT Manual de usuario

Oracle

Oracle Application 9i Manual de usuario

Acer

Acer RDM Manual de usuario

Canon

Canon Vixia HF21 Manual de usuario

Canon

Canon ZR950 Manual de usuario

Samsung

Samsung Auto Backup Manual de usuario

Polycom

Polycom Vortex EF2201 Instrucciones de instalación y funcionamiento

Brocade Communications Systems

Brocade Communications Systems Brocade 8/12c Manual de usuario

Novell

Novell SP2 - S Manual de instrucciones