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Homework, Page 696

Homework, Page 696. Find the vertex, focus, directrix, and focal width of the parabola and sketch the graph. 1. . Homework, Page 696. Identify the type of conic. Find the center, vertices, and foci of the conic, and sketch its graph. 5. . Homework, Page 696.

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Homework, Page 696

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  1. Homework, Page 696 Find the vertex, focus, directrix, and focal width of the parabola and sketch the graph. 1.

  2. Homework, Page 696 Identify the type of conic. Find the center, vertices, and foci of the conic, and sketch its graph. 5.

  3. Homework, Page 696 Identify the type of conic. Find the center, vertices, and foci of the conic, and sketch its graph. 9.

  4. Homework, Page 696 Match the equation with its graph. 13. B.

  5. Homework, Page 696 Match the equation with its graph. 17. F.

  6. Homework, Page 696 Identify the conic. Then complete the square to write the conic in standard form, and sketch the graph. 21.

  7. Homework, Page 696 Identify the conic. Then complete the square to write the conic in standard form, and sketch the graph. 25.

  8. Homework, Page 696 29. Prove that the parabola with focus (0, p) and directrix y = –p has the equation x2=4py

  9. Homework, Page 696 Identify the conic. Solve the equation for y and graph it. 33.

  10. Homework, Page 696 Find the equation for the conic in standard form. 37.

  11. Homework, Page 696 Find the equation for the conic in standard form. 41.

  12. Homework, Page 696 Find the equation for the conic in standard form. 45.

  13. Homework, Page 696 Find the equation for the conic in standard form. 49.

  14. Homework, Page 696 Find the equation for the conic in standard form. 53.

  15. Homework, Page 696 Identify and graph the conic, and rewrite the equation in Cartesian coordinates. 57.

  16. Homework, Page 696 Identify and graph the conic, and rewrite the equation in Cartesian coordinates. 61.

  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. 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. 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. 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 = x2, locate the focus (the electronic receiver) of the parabola.

  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.

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