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

Appendix I Answers to Odd-Numbered Exercises A115
5. 2Sx 2 2D 1 1 6Sx 2 2D3
0
1.1
_1.1
7. sx 2 1d 2 1 2 sx 2 1d2 1 1 3 sx 2 1d3 2
T£
_1
T£
f
_4
9. x 2 2x 2 1 2x 3 3
_4
π
2
_1 1.5
f
T£
f
π
3
23. 0.17365 25. Four 27. 21.037 , x , 1.037
29. 20.86 , x , 0.86 31. 21 m, no
37. (c) They differ by about 8 3 10 29 km.
Chapter 11 Review • page 784
True-False Quiz
1. False 3. True 5. False 7. False 9. False
11. True 13. True 15. False 17. True
19. True 21. True
Exercises
1. 1 2 3. D 5. 0 7. e 12 9. 2 11. C
13. C 15. D 17. C 19. C 21. C 23. CC
25. AC 27. 1 11 29. y4 31. e2e 35. 0.9721
37. 0.189 762 24, error , 6.4 3 10 27
41. 4, f26, 2d 43. 0.5, [2.5, 3.5)
45.
nF 1
2 ò s21d 1
n−0
47. ò s21d n x n12 , R − 1
n−0
Sx 2 2n
s2nd! 6D
x 8n14
1
49. ln 4 2 ò
n−1
s3
Sx 2 2n11
s2n 1 1d! 6D G
x n
n4 n , R − 4
51. ò s21d n
n−0 s2n 1 1d! , R − `
1
53.
2 1 1 ? 5 ? 9 ? ∙ ∙ ∙ ? s4n 2 3d
ò
x n , R − 16
n−1 n!2 6n11
55. C 1 ln | x | 1 x
ò
n
n−1 n ? n!
57. (a) 1 1 1 2 sx 2 1d 2 1 8 sx 2 1d2 1 1 16 sx 2 1d3
(b) 1.5
(c) 0.000 006
T£ f
11. T 5sxd − 1 2 2Sx 2 4D 1 2Sx 2 4D2
2 8 3Sx 2 4D3
T¢ T∞
5
T£
f
T
0
_2
1 10 3
Sx 2 4D4
π
4
2
15Sx 64 2
4D
5
13. (a) 1 2 sx 2 1d 1 sx 2 1d 2 (b) 0.006 482 7
15. (a) 1 1 2 3 sx 2 1d 2 1 9 sx 2 1d2 1 4 81 sx 2 1d3 (b) 0.000 097
17. (a) 1 1 1 2 x 2 (b) 0.0015
19. (a) 1 1 x 2 (b) 0.000 06 21. (a) x 2 2 1 6 x 4 (b) 0.042
π
2
T∞
T¢
T
T£
2
f
0
59. 2 1 6
T£
f
Problems PLUs • page 787
1. 15!y5! − 10,897,286,400
3. (b) 0 if x − 0, s1yxd 2 cot x if x ± k, k an integer
5. (a) s n − 3 ? 4 n , l n − 1y3 n , p n − 4 n y3 n21 (c) 2 5 s3
9.
3
4
11. s21, 1d, x 3 1 4x 2 1 x
s1 2 xd 4 13. ln 1 2
17. (a) 250
101 se2sn21dy5 2 e 2ny5 d (b) 250
19. 2 1
2s3
2
101
21. 2S 2 2 k D2, where k is a positive integer
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