1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 1 Homework, Page 696 Find the vertex, focus, directrix, and focal width of the parabola and sketch the graph. 1.

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 2 Homework, Page 696 Identify the type of conic. Find the center, vertices, and foci of the conic, and sketch its graph. 5.

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 3 Homework, Page 696 Identify the type of conic. Find the center, vertices, and foci of the conic, and sketch its graph. 9.

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 4 Homework, Page 696 Match the equation with its graph. 13. B.

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 5 Homework, Page 696 Match the equation with its graph. 17. F.

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 6 Homework, Page 696 Identify the conic. Then complete the square to write the conic in standard form, and sketch the graph. 21.

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 7 Homework, Page 696 Identify the conic. Then complete the square to write the conic in standard form, and sketch the graph. 25.

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Homework, Page 696 29. Prove that the parabola with focus (0, p) and directrix y = –p has the equation x 2 =4py Slide 8- 8

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 9 Homework, Page 696 Identify the conic. Solve the equation for y and graph it. 33.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 10 Homework, Page 696 Find the equation for the conic in standard form. 37.

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 11 Homework, Page 696 Find the equation for the conic in standard form. 41.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 12 Homework, Page 696 Find the equation for the conic in standard form. 45.

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 13 Homework, Page 696 Find the equation for the conic in standard form. 49.

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 14 Homework, Page 696 Find the equation for the conic in standard form. 53.

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 15 Homework, Page 696 Identify and graph the conic, and rewrite the equation in Cartesian coordinates. 57.

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 16 Homework, Page 696 Identify and graph the conic, and rewrite the equation in Cartesian coordinates. 61.

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 17 Homework, Page 696 Use the points P(–1, 0, 3) and Q(3,–2,–4) and vectors v = ‹–3, 1 –2› and w = ‹3, –4, 0›. 65. Compute v + w.

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 18 Homework, Page 696 Use the points P(–1, 0, 3) and Q(3,–2,–4) and vectors v = ‹–3, 1 –2› and w = ‹3, –4, 0›. 69. Write the unit vector in the direction of w.

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 19 Homework, Page 696 Use the points P(–1, 0, 3) and Q(3,–2,–4) and vectors v = ‹–3, 1 –2› and w = ‹3, –4, 0›. 73. Write a vector equation for the line through P in the direction of v.

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 20 Homework, Page 696 75. B-Ball Network uses a parabolic microphone to capture all the sounds from the basketball players and coaches during each regular season game. If one of its microphones has a parabolic surface generated by the parabola 18y = x 2, locate the focus (the electronic receiver) of the parabola.

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 8- 21 Homework, Page 696 79. The velocity of a body in an elliptical Earth orbit at a distance r (in meters) from the focus (center of the Earth) is where a is the semimajor axis of the ellipse. An Earth satellite has a maximum altitude (at apogee) of 18,000 km and has a minimum altitude (at perigee) of 170 km. Assuming Earth’s radius is 6380 km, find the velocity of the satellite at its apogee and perigee.