A-54 Answers to Selected Exercises transverse axis 37. 1y + 322 - 1x + 422 81 = 1; 1-4, -32; vertical transverse axis 39. 1.4 41. 1.7 43. x 2 9 - y2 16 = 1 45. y2 36 - x2 144 = 1 47. x2 9 - 3y 2 = 1 49. 2y2 25 - 2x 2 = 1 51. 1y - 322 4 - 491x - 422 4 = 1 53. 1x - 122 4 - 1y + 222 5 = 1 55. y2 49 - x2 392 = 1 57. 251x + 122 324 - 251y + 122 2176 = 1 59. −8 −6.6 8 6.6 y1 = 2Ëx 2 − 4 y2 = −2Ëx 2 − 4 61. −15 −10 15 10 y1 = 3Ëx 2 + 4 y2 = −3Ëx 2 + 4 63. (a) x = 2y2 + 2.5 * 10-27 (b) 1.2 * 10-13 m 67. (a) 50 m (b) 69.3 m 69. y = 1 2 2x2 - 4 70. y = 1 2 x 71. y ≈24.98 72. y = 25 73. Because 24.98 625, the graph of y = 1 2 2x2 - 4 lies below the graph of y = 1 2 x when x = 50. 74. The y-values on the hyperbola will approach the y-values on the asymptote. 10.4 Exercises 1. circle 3. parabola 5. ellipse 7. hyperbola 9. circle 11. parabola 13. parabola 15. ellipse 17. hyperbola 19. hyperbola 21. ellipse 23. circle 25. parabola 27. point 29. parabola 31. point 33. no graph 35. hyperbola x y 0 y2 – = 1 25 x2 25 (–5, 0) (5, 0) x2 = 25 + y2 37. parabola (0, 2) x y 0 1 x2 = 4y – 8 x2 + 2 4 1 y = 39. parabola (–8, 2) x y 0 –8 –2 2 y2 – 4y = x + 4 (y – 2)2 = x + 8 41. circle 2 5 –4 (–1, 2) 0 x y 3x2 + 6x + 3y2 – 12y = 12 (x + 1)2 + (y – 2)2 = 9 5. x y 0 1 1 y2 = – x 2 3 1-∞, 04; 1-∞, ∞2; A - 1 6 , 0B ; x = 1 6 ; x-axis 7. y x 0 1 1 3x2 = y 1-∞, ∞2; 30, ∞2; A0, 1 12B ; y = - 1 12 ; y-axis 9. y2 = 16x 11. x2 = 9 4 y 13. ellipse 15. hyperbola 17. parabola 19. ellipse 21. F 23. A 25. B Chapter 10 Review Exercises 1. x 0 1 1 y x = 4(y – 5)2 + 2 (2, 5) 32, ∞2; 1-∞, ∞2; 12, 52; y = 5 3. x 1 1 y x = 5y2 – 5y + 3 0 ( , ) 7 4 1 2 C 7 4 , ∞B ; 1-∞, ∞2; A 7 4 , 1 2B ; y = 1 2 43. ellipse x y 0 2 4 –2 1 4 (1, 2) = 1 4 (y – 2)2 9 (x – 1)2 + 4x2 – 8x + 9y2 – 36y = –4 45. 1 3 47. 1 49. 1.5 51. elliptical 53. A - D 2A , - E 2CB 27. ellipse x 3 –3 2 –2 0 y + = 1 4 x2 9 y2 3-2, 24; 3-3, 34; 10, -32, 10, 32 29. hyperbola x 4 y 4 –4–40 – = 1 64 x2 36 y2 1-∞, -84 ´38, ∞2; 1-∞, ∞2; 1-8, 02, 18, 02; y = { 3 4 x 31. circle x y (–1, 1) 0 (x + 1)2 16 ( y – 1)2 16 + = 1 3-5, 34; 3-3, 54 33. ellipse x 3 0 2 –2 –3 y 4x2 + 9y2 = 36 3-3, 34; 3-2, 24; 1-3, 02, 13, 02
RkJQdWJsaXNoZXIy NjM5ODQ=