Final Exam Review Packet Answer Key

Honors Pre-Calculus Final Exam Review Packet Answer Key 1. 7 11 , 6 6 2. 5. 270   360n 6. 150  360n 210  360n 10.  3 9.  3 4 3. 3 7 , 4 4 4. 7. 90  180n 8. 5 3 11a. 1 3 11b. 4 12d. -4 , 4  3 , 60 12a. 2 12b. 2 3 12c. 13. cos 2  14. answers will vary 15. 17. B  60; b  6 3 ; c  12 20. 104.5 21. 1.782 miles 24. 27.1 25. C  39; B  109; b  27.0 or C  141; B  7; b  3.5 26. 410.86 27. 36.9 or 143.1 28. 534.97 29. 30. 549.5 m 31. 28.7 32. 739.93 miles 33a. 6 2 4 34a. cos 90  0 34b. cos x 35a. 12 13 36a. cot x 36b. 2 cot 2 x 38. answers will vary 39a. 40b.  3,1 43b.  512 3  512i 45a. arith.; a n  5n  22 33b.  undefined 2  5 3 6 , 6 , 4 342901 .6 ft. 22. 25 23. 26.4 35c. 120 169 36c. sin x 1  cos x 37.  39b. , 2 4 , 3 3 39c. 0 ,  , 1.11, 4.25 40a. (0,6) 41a.   3 2 ,  4  41b. 4   2 ,  3   41c. 3   2 ,  2   42. z1  2 cis 43a. 64i 43c. 1 3  i 32 32 3 , 19. 119 169 44. 4 60  11   ; z 2  4 2 cis ; z1 z 2  8 2 cis 6 4 12  7 18. 35b. 3 2 2 16. 2  cis10, 3 2  cis130, 3 2  cis 250 69.5, 69.5, 41 6 2 4  2 n 1 45b. neither; a n  n 2  2n 45c. 1 geometric; a n  81    3 46b. 459 47. 4 2187 48. 212 50a. converge 50b. 3 4 51. 1640 2187 52. 3 3 3   x ; 2 2 3  2x 53. 54a. 1, 4, 9, 16, 25, 36 65 55b. 46a. 51 49. 2340 54b. an  n 2 57a. 2 x4 8   3n  11 i 1 25 55a. 5320 56.  4n  1 i 1 57b. 1 1   x 3 3 60.  64. 68. 72. 83. 59. omit!! 62. 3 63.  65.  66. does not exist (oscillates) 67.  69. 2 70. does not exist (oscillates) 71. does not exist 73. 3 5 74. 1 2 5 77. 12 78.  20 x 6  6 x 4  9 x 2 80.  84. 12 x  83x 2  4 x  1 85. 3 x 2  6 x  15 86.  x  3 2 73x  3 0 5 3 6  6 3 3x  1 4  x  2 2 a1  6 3 2 61. 1 3 n 1 58b. 1    i 1  3  76. does not exist…domain! 79.  58a. 12 x3 81. a n  a n1  4 75. x  1 2x x 82. 15 x 4  18 x 2 2  1 4  4 87. -6 88. 2x – 3 89. 6x + 4 90. 4; y  4 x  5 91. 11; y  11x  16 92. 1 1 5 ; y  x 4 4 4 93. 1; y  x  4 94. y  4 x  6 32 97b. 2 sec. 97c. 144 ft 97d. 5 sec. 97e. 2 t  5 98. 26,666 95. 96. f ( x)  x 3  2 x 2  3x  c Local Max=(-1,32) 97a. Local Min= (3,0) Point of inflection=(1,16) Concave Up: (1,∞) Concave Down: (-∞,1) 99. 7 inches x 14 inches 100. 4x4x2 2 yds2 3