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10.9 Polar Equations of Conics

10.9 Polar Equations of Conics. The focus of all conics in polar graphs are at the pole. Parabola with its directrix. Equations for Conics in Polar Graphs. Depending on if the directrix is horizontal or vertical. Remember what “ e ” stand for in Conics.

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10.9 Polar Equations of Conics

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  1. 10.9 Polar Equations of Conics

  2. The focus of all conics in polar graphs are at the pole. Parabola with its directrix

  3. Equations for Conics in Polar Graphs Depending on if the directrix is horizontal or vertical

  4. Remember what “e” stand for in Conics e is for eccentricity, which is a ratio of c/a c is the distance from a focus to the center a is the distance from a vertices to the center

  5. p is the distance from the pole to the directrix

  6. How to Indentify Conics by e Depend on the value of e

  7. Identify and Graph Remember the equations

  8. Identify and Graph Remember the equations

  9. Identify and Graph Make a chart

  10. Write the equation Hyperbola with e = 3 and directrix of x = 2 Vertical directrix on the right of the pole The pole is 2 units from x = 2 p = 2

  11. Write the equation Hyperbola with e = 3; p = 2

  12. Now for a video • http://www.youtube.com/watch?v=zV6buIBpuJo

  13. Homework Page 768 – # 1, 5, 9, 13, 17, 21, 27, 31,35

  14. Homework Page 768 – # 7, 11, 18, 22, 34, 36

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