User manual TERRAILLON WEATHER STATION SOLSTICE

[. . . ] 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 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 TIGRAPH LINKË software and link cable. You can purchase a link cable from the online store. [. . . ] Select the equation X = R cos (T) + H Y = R sin (T) + K 8. Enter the values for H, K, and R [(0, 0) and 8], as defined in the problem. Press T to display the CONIC ZOOM screen. 10. Select Zoom Conic so that the circle will be displayed correctly. (Otherwise, the circle may look like an ellipse. ) The graph of the circle is drawn. 11. Press S to change the CONIC WINDOW settings. Change the following parameters: Tmin = 0 S Tmax = (In degree mode, Tmax = 90. To change to degree 2 mode, you must exit Conic Graphing. ) TI-83 Plus Conic Graphing Page 28 13. You can change the Tmin and Tmax values to display the graph of the arcs in different quadrants. TI-83 Plus Conic Graphing Page 29 Ellipses Definition An ellipse is the set of points whose distances from two fixed points in the plane have a constant sum. The two fixed points are the foci of the ellipse. The line through the foci of an ellipse is the ellipse's focal axis. You can select Zoom Conic to see an unexaggerated graph of Pluto’s almost circular orbit. 16. Press U to trace the orbit. Note Conic Graphing does not allow for continuous tracing. After you trace the entire orbit, the tracing stops. You can then press the opposite direction arrow key to trace the orbit in the opposite direction. TI-83 Plus Conic Graphing Page 35 Hyperbolas Definition A hyperbola is the set of points in a plane whose distances from two fixed points in the plane have a constant difference. The two fixed points are the foci of the hyperbola. The line through the foci of the hyperbola is the focal axis. The point on the axis halfway between the foci is the hyperbola's center. The points where the focal axis and hyperbola cross are the vertices. Calculator mode Function Equations (X1H) 2 (Y1K) 2 A2 1 B2 = 1 (Y1K) 2 (X1H) 2 =1 A2 1 B 2 X = A sec (T) + H Y = B tan (T) + K Parametric X = B tan (T) + H Y = A sec (T) + K (X13) 2 (Y12) 2 9 1 9 = 1: Vertices (0, 2) and (6, 2) Polar Focus (-1. 243, 2) Focus (7. 243, 2) 2ep R = 11e cos (T) 2ep R = 1+e cos (T) 2ep R = 11e sin (T) 2ep R = 1+e sin (T) Focal axis Center (3, 2) TI-83 Plus Conic Graphing Page 36 Example A lamp with an opaque cylindrical shade 1. 5 feet in diameter, 2 feet high has a light bulb located at the center of the shade. It casts a shadow, which is of the form of a hyperbola, on a wall 3 feet from the bulb and parallel to the shade. Find the vertices, foci, and slope of the asymptotes of the hyperbola. Steps: The equation of the cone of light is The equation of the wall is: Z = 3. 16X2 16Z 2 2 9 + 9 1 Y = 0. 1. Substitute z into the equation and solve: 16X2 16(3) 2 2 9 + 9 1Y =0 16X2 2 9 1 Y = -16 16X2 Y21 9 = 16 Y2 X2 16 1 9 = 1 TI-83 Plus Conic Graphing Page 37 2. [. . . ] Make sure the cable is firmly inserted in the I/O port of each calculator. If you continue to get this error, please contact TICares. TI-83 Plus Conic Graphing Page 56 Invalid Signature or Certificate Either this calculator does not have a certificate to run the application, or electrical interference caused a link to fail. If you continue to receive this error, contact TICares. Other Errors See pages B-6 through B-10 in the TI83 Plus manual for information about the specific error or contact TICares. TI-83 Plus Conic Graphing Page 57 Miscellaneous Verify Operating System Version and ID Number Conic Graphing is compatible with TI83 Plus operating system 1. 12 and higher. To verify your operating system version number: 1. [. . . ]