A-58 Answers to Selected Exercises In Exercises 39 and 41, other answers are possible. 39. a15 i=1 1-5i + 92 41. a 6 i=1 4132i-1 43. x4 + 8x3y + 24x2y2 + 32xy3 + 16y4 45. 243x5/2 - 405x3/2 + 270x1/2 - 90x-1/2 + 15x-3/2 -x-5/2 47. -3584x3y5 49. x12 + 24x11 + 264x10 + 1760x9 55. 72 57. 56 59. 252 61. $2,774,304 63. $794,976; Answers will vary. 65. 90 67. (a) 84 (b) 45 69. 456,976,000; 258,336,000 71. (a) 4 15 (b) 2 3 (c) 0 (d) 3 to 2 73. (a) 0.233 (b) 0.170 (c) 0.819 75. 0.296 Chapter 11 Test [11.1–11.3] 1. -3, 6, -11, 18, -27; neither 2. - 3 2 , - 3 4 , - 3 8 , - 3 16 , - 3 32 ; geometric 3. 2, 3, 7, 13, 27; neither [11.2] 4. 49 [11.3] 5. - 32 3 [11.2] 6. 110 [11.3] 7. -1705 [11.2] 8. 2385 [11.3] 9. -186 10. The sum does not exist. 11. 108 7 [11.4] 12. x6 + 6x5y +15x4y2 +20x3y3 +15x2y4 + 6xy5 + y6 13. 16x4 - 96x3y + 216x2y2 - 216xy3 + 81y4 14. 60w4y2 [11.4, 11.6] 15. 40,320 16. 45 17. 35 18. 990 [11.6] 20. 24 21. 210; 90 22. 32,760 [11.7] 23. (a) 1 26 (b) 10 13 (c) 4 13 (d) 3 to 10 24. 0.92 25. 0.201 Appendices Appendix A Exercises 1. –4.1 –6.6 4.1 6.6 3. –2.05 –3.3 2.05 3.3 5. –4.1 –6.6 4.1 6.6 7. –4.1 –6.6 4.1 6.6 9. –2.05 –3.3 2.05 3.3 11. r = 3 1 + cos u 13. r = 5 1 - sin u 15. r = 20 5 + 4 cos u ; ellipse 17. r = 40 4 - 5 sin u ; hyperbola 19. ellipse; 8x2 + 9y2 - 12x - 36 = 0 21. hyperbola; 3x2 - y2 + 8x + 4 = 0 23. ellipse; 4x2 + 3y2 - 6y - 9 = 0 25. parabola; x2 - 10y - 25 = 0 13. x y 458 x9 y9 + = 1 12 4 y9 2 x9 2 15. x y 458 x9 y9 – = 1 5 5 3y9 2 x9 2 17. x y x9 y9 608 + = 1 4 16 y9 2 x9 2 19. x y 608 y9 2 = x9 x9 y9 21. y y0 y9 x x0 x9 458 – = 1 2 10 y0 2 x0 2 23. x y 26.578 x9 y0 x0 y9 x0 2 < –8.94y0 25. x y 36.878 x9 y0 x0 y9 x0 2 = –6y0 Appendix B Exercises 1. circle or ellipse or a point 3. hyperbola or two intersecting lines 5. parabola or one line or two parallel lines 7. 30° 9. 60° 11. 22.5°
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