James Stewart-Calculus_ Early Transcendentals-Cengage Learning (2015)

Appendix I Answers to Odd-Numbered Exercises A137
Exercises E • page A38
1. s1 1 s2 1 s3 1 s4 1 s5 3. 3 4 1 3 5 1 3 6
5. 21 1 1 3 1 3 5 1 5 7 1 7 9 7. 110 1 2 10 1 3 10 1 ∙ ∙ ∙ 1 n 10
9. 1 2 1 1 1 2 1 1 ∙ ∙ ∙ 1 s21d n21 11. o 10
13. o 19 i
15. o n
2i 17. o 5
2 i 19. o n
x i
i−1 i 1 1
i−1
i−0
i−1
21. 80 23. 3276 25. 0 27. 61 29. nsn 1 1d
31. nsn 2 1 6n 1 17dy3 33. nsn 2 1 6n 1 11dy3
35. nsn 3 1 2n 2 2 n 2 10dy4
41. (a) n 4 (b) 5 100 2 1 (c) 97
300 (d) an 2 a0
43. 1 3 45. 14 49. 2n11 1 n 2 1 n 2 2
i−1
i
17. 4i, 4 19. 6 3 2 i 21. 21 6 2i
23. 2 1 2 6 (s7y2)i 25. 3s2 fcoss3y4d 1 i sins3y4dg
27. 5hcosftan 21 ( 4 3)g 1 i sinftan 21 ( 4 3)gj
29. 4fcossy2d 1 i sinsy2dg, coss2y6d 1 i sins2y6d,
fcoss2y6d 1 i sins2y6dg
1
2
31. 4s2 fcoss7y12d 1 i sins7y12dg,
(2s2 )fcoss13y12d 1 i sins13y12dg, 1 4 fcossy6d 1 i sinsy6dg
33. 21024 35. 2512s3 1 512i
37. 61, 6i, (1ys2 )s61 6 id 39. 6(s3y2) 1 1 2 i, 2i
Im
i
Im
Exercises g • page A56
0
1 Re
0
Re
1. (b) 0.405
_i
Exercises h • page A64
1. 8 2 4i 3. 13 1 18i 5. 12 2 7i 7. 11
13 1 10
13 i
9. 1 2 2 1 2 i 11. 2i 13. 5i 15. 12 1 5i, 13
41. i 43. 1 2
2 1 (s3y2)i 45. 2e
47. cos 3 − cos 3 2 3 cos sin 2 ,
sin 3 − 3 cos 2 sin 2 sin 3
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