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

Appendix I Answers to Odd-Numbered Exercises A123
(d) A function of wind speed that gives wind-chill values when the
temperature is 25°C
(e) A function of temperature that gives wind-chill values when the
wind speed is 50 kmyh
3. <94.2; the manufacturer’s yearly production is valued at
$94.2 million when 120,000 labor hours are spent and $20 million
in capital is invested.
5. (a) <20.5; the surface area of a person 70 inches tall who
weighs 160 pounds is approximately 20.5 square feet.
7. (a) 25; a 40-knot wind blowing in the open sea for 15 h will
create waves about 25 ft high.
(b) f s30, td is a function of t giving the wave heights produced by
30-knot winds blowing for t hours.
(c) f sv, 30d is a function of v giving the wave heights produced by
winds of speed v blowing for 30 hours.
9. (a) 1 (b) R 2 (c) f21, 1g
11. (a) 3
(b) hsx, y, zd | x 2 1 y 2 1 z 2 , 4, x > 0, y > 0, z > 0j, interior of
a sphere of radius 2, center the origin, in the first octant
13. hsx, yd | x > 2, y > 1j y 1
0 2 x
23. z − y, plane through the x-axis
z
0
x y
25. 4x 1 5y 1 z − 10, plane
27. z − sin x, cylinder
z
(2.5, 0, 0)
x
z
(0, 0, 10)
0 (0, 2, 0)
y
15. 5sx, yd | 1 9 x 2 1 y 2 , 16
y
0
1
9≈+¥=1
x
x
y
17. hsx, yd | y ± 2xj y
ca110105
y=_x 10.31.00
0 x
29. z − x 2 1 4y 2 1 1, elliptic paraboloid
z
(0, 0, 1)
19. hsx, yd | y > x 2 , x ± 61j
y
x
y
y=≈
31. z − s4 2 4x 2 2 y 2 ,
top half of ellipsoid
z
(0, 0, 2)
0 1
21. hsx, y, zd | 22 < x < 2, 23 < y < 3, 21 < z < 1j
z
ca090607
10.13.00
_1
x
(1, 0, 0) (0, 2, 0)
x
y
x
(2, 0, 0)
(0, 0, 1)
(0, 3, 0)
y
33. <56, <35 35. 11°C, 19.5°C 37. Steep; nearly flat
39. h
k=40 No
2.5
k=30
2 B(m, h)=k
k=25
1.5
k=18.5
1
0.5
0 m
20 40 60 80 100 120 140
Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.