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

Appendix I Answers to Odd-Numbered Exercises A95
85. C 0s1 2 e 230ryV d; the total amount of urea removed from the
blood in the first 30 minutes of dialysis treatment
87. 5 93. 2 y4
Chapter 5 Review • page 421
True-False Quiz
1. True 3. True 5. False 7. True 9. True
11. False 13. True 15. False 17. False
Exercises
1. (a) 8 (b) 5.7
y
y
51. (a) Twelfth st < 11.26d (b) Eighteenth st < 17.18d
(c) 706
53. (a) Car A (b) The distance by which A is ahead of B after
1 minute (c) Car A (d) t < 2.2 min
55. 24 5 s3 57. 4 2y3 59. 66
61. 0 , m , 1; m 2 ln m 2 1
Exercises 6.2 • page 446
1. 26y3 y
y=x+1
y
2
0
y=ƒ
6
2 x
2
0
y=ƒ
6
2 x
1
x=0
x=2
0 x 2 y=0
0 x
3. 1 2 1 y4 5. 3 7. f is c, f 9 is b, yx 0
f std dt is a
9. 3, 0 11. 37 13. 9 10 15. 276 17. 21 4
19. Does not exist 21. 1 3 sin 1 23. 0
25. 2s1yxd 2 2 ln | x | 1 x 1 C
27. sx 2 1 4x 1 C 29. f1ys2dg sin 2 t 1 C
31. 2e sx 1 C 33. 2 1 2 flnscos xdg2 1 C
35. 1 4 lns1 1 x 4 d 1 C 37. ln | 1 1 sec | 1 C 39. 23 3
41. 2s1 1 sin x 1 C 43. 64 5 45. F9sxd − x 2 ys1 1 x 3 d
47. t9sxd − 4x 3 cossx 8 d 49. y9 − (2e x 2 e sx )ys2xd
51. 4 < y 3 sx 2 1 3 dx < 4s3 57. 0.280981
1
59. Number of barrels of oil consumed from Jan. 1, 2000, through
Jan. 1, 2008
61. 72,400 63. 3 65. c < 1.62
67. f sxd − e 2x s2x 2 1dys1 2 e 2x d 73. 2 3
3. 8
y
y=œ„„„„ x-1
x=5
0 1 y=0 5 x 0
x
5. 162
y
x=0
y=9
(6, 9)
x=2œ„y
y
y
Problems PLUs • page 425
0 x
0 x
1. y2 3. 2k 5. 21 7. e 22 9. f21, 2g
11. (a) 1 2sn 2 1dn
(b) 1 2 vbb s2b 2 vbb 2 1d 2 1 2 vab s2a 2 vab 2 1d
17. y − 2 2b
a x 2 1 3b x 19. 2(s2 2 1)
2 a
7. 4y21
y
y=x
3c3 Ans 6.2.3 y
(1, 1) 9.12.04
Chapter 6
Exercises 6.1 • page 434
y=˛
0 x
0 x
1. 45 4 2 ln 8 3. e 2 s1yed 1 10 3 5. e 2 s1yed 1 4 3
7. 9 2 9. ln 2 2 1 2 11. 8 3 13. 72 15. 6s3
17. 32 3 19. 2y 1 2 3 21. 2 2 2 ln 2
23. 47 3 2 9 2 s 3 12 25. 13 5 27. ln 2
29. (a) 39 (b) 15 31. 1 6 ln 2 33. 5 2 35. 3 2s3 2 1
37. 0, 0.90; 0.04 39. 21.11, 1.25, 2.86; 8.38
41. 2.80123 43. 0.25142 45. 12s6 2 9
47. 117 1 3 ft 49. 4232 cm2
9. 64y15
y
0
¥=x
3c Ans 6.2.5
9.12.04
x=2y
(4, 2)
x
y
0
x
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