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

A74 Appendix I Answers to Odd-Numbered Exercises
61. (a) 4
_2π
2π
Slope appears to be 1.
(b)
y
40
20
y=Cª(t)
The rate of change of percentage of
full capacity is decreasing and
approaching 0.
_4
0
2 4 6 8 10 12
x
(b) 0.25
Yes
15.
y 1963 to 1971
0.1 y=Mª(t)
_0.4
0.4
0.05
_0.03
t
_0.25
(c) 0.005
Yes; 0
17. y
1950 1960 1970 1980 1990
ca020813
7.4.00
f, fª
f 9sxd − e x
_0.008
0.008
1
_0.005
Exercises 2.8 • page 160
1. (a) 20.2 (b) 0 (c) 1 (d) 2
(e) 1 (f) 0 (g) 20.2
y
2
fª
1
_3
3
_2 _1 0 1 2 x
3. (a) II (b) IV (c) I (d) III
5.
7.
y
0
fª
x
fª
y
0
1
x
19. (a) 0, 1, 2, 4 (b) 21, 22, 24 (c) f 9sxd − 2x
21. f 9sxd − 3 , R, R 23. f 9std − 5t 1 6, R, R
25. f 9sxd − 2x 2 6x 2 , R, R
1
27. t9sxd − 2 , s2`, 9g, s2`, 9d
2s9 2 x
29. G9std − 27
2
, s2`, 23d ø s23, `d, s2`, 23d ø s23, `d
s3 1 td
31. f 9sxd − 4x 3 , R, R 33. (a) f 9sxd − 4x 3 1 2
35. (a) The rate at which the unemployment rate is changing, in
percent unemployed per year
(b)
t U9std t U9std
2003 20.50 2008 2.35
2004 20.45 2009 1.90
2005 20.45 2010 20.20
2006 20.25 2011 20.75
2007 0.60 2012 20.80
ca020805
7.4.00
0
x
37.
t 14 21 28 35 42 49
H9std
13
7
23
14
9
7
1
11
14
5
7
y
9.
y
fª
11.
ca020807
7.4.00
y
fª
2
0 x
0
x
1
y=Hª(t)
13. (a) The instantaneous rate of change of percentage of full
capacity with respect to elapsed time in hours
3cA020809
6.17.04
0 7 14 21 28 35 42 49 t
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