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

A102 Appendix I Answers to Odd-Numbered Exercises
21. (b) 0; a 0
(c) 1x10 10
0 4x10– 10
(d) 1 2 41e 28 < 0.986
(e) 3 2 a0
Chapter 8 Review • page 581
Exercises
1
1. 54 (109s109 2 1) 3. 53 6
5. (a) 3.5121 (b) 22.1391 (c) 29.8522
7. 3.8202 9. 124
5 11. < 458 lb 13. s 8 5 , 1d
15. ( 4 3 , 4 3) 17. 2 2 19. $7166.67
21. (a) f sxd > 0 for all x and y`
f sxd dx − 1
2`
(b) < 0.3455 (c) 5; yes
23. (a) 1 2 e 23y8 < 0.31 (b) e 25y4 < 0.29
(c) 8 ln 2 < 5.55 min
Problems PLUs • page 583
1. 2 3 2 1 2 s3
3. (a) 2rsr 6 dd (b) <3.36 3 10 6 mi 2
(d) <7.84 3 10 7 mi 2
5. (a) Pszd − P 0 1 t y z 0
sxd dx
(b) sP 0 2 0tHdsr 2 d 1 0tHe LyH y r e xyH 2r
? 2sr 2 2 x 2 dx
7. Height s2 b, volume ( 28
27 s6 2 2)b 3 9. 0.14 m
11. 2y; 1y 13. s0, 21d
Exercises 9.2 • page 597
1. (a)
y
2.0
1.5
1.0
0.5
(iv)
(iii)
(ii)
(i)
_2 _1 0 1 2 x
(b) y − 0.5, y − 1.5
3. III 5. IV
7. y
9.
_2
4
2
0 2 x
y
3
0 x
_3 3
_3
(c) y(0)=3.5
(b) y(0)=2.5
(a) y(0)=1
Chapter 9
11.
y
3
13.
y
3
Exercises 9.1 • page 590
3. (a) 1 2 , 21 5. (d)
7. (a) It must be either 0 or decreasing
(c) y − 0 (d) y − 1ysx 1 2d
9. (a) 0 , P , 4200 (b) P . 4200
(c) P − 0, P − 4200
13. (a) III (b) I (c) IV (d) II
15. (a) At the beginning; stays positive, but decreases
(c)
P(t)
M
_3
_3
15. ca070211
10.31.00
4
x 3
_3
ca070213
10.31.00
_3
x 3
P(0)
0
t
17. It approaches 0 as c approaches c s.
_3
0 2
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