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

A106 Appendix I Answers to Odd-Numbered Exercises
Problems PLUs • page 637
1. f sxd − 610e x 5. y − x 1yn 7. 20 8C
13. (a) y − 1yx, y . 1 (b)
y
9. (b) f sxd − x 2 2 L 2
2 S L 4L 2 LD ln x (c) No
11. (a) 9.8 h (b) 31,900 ft 2 ; 2000 ft 2 yh (c) 5.1 h
13. x 2 1 sy 2 6d 2 − 25 15. y − Kyx, K ± 0
0
(1, 1)
x
Chapter 10
15. (a) x − e 2y (b) y3cA010711b
6.16.04
1
Exercises 10.1 • page 645
1. y
3. y
t=1, (0, 1)
t=0, (0, 1)
t=2,
π
1
1
π
t=_
2
t= 2
(_3, 0)
t=0, (1, 0)
_2 _1 0 1 2 x
_3 _2 _1 0 1 x
_1
t=_π,
t=π,
_1
(_π, _1)
(π, _1)
17. (a) y 2 2 x 2 − 1, y > 1 (b)
_2
0 x 5
y
_2
1
_3
t=_1,
(0, _3)
0
x
5. (a) y
t=_4,
(_9, _1)
t=0,
(_1, 1)
_5
t=_2,
(_5, 0)
7. (a) y
t=1,
(_2, 3)
t=_1,
(_2, 1)
_4
4
2
2
t=2,
(3, 2)
t=4,
(7, 3)
0 x 5
t=3,
(6, 5)
2 4 6
_2 0 x
_2
t=_3,
(6, _1)
(b) y − 1 4 x 1 5 4
(b) x − y 2 2 4y 1 1,
21 < y < 5
19. Moves counterclockwise along the circle
6et Ans. 10.1.17
S x 2 5
2
D 1S y 2 3
2
D − 1 from s3, 12.06.06 3d to s7, 3d
2 2
21. Moves 3 times clockwise around the ellipse
sx 2 y25d 1 sy 2 y4d − 1, starting and ending at s0, 22d
23. It is contained in the rectangle described by 1 < x < 4
and 2 < y < 3.
25. y
27. y
1
0
_1
t=0 (0, 0)
t=_1 (1, 1)
1 2
t=1 (1, _1)
x
1 t=_1, 1 (0, 1)
t=0
(1, 0)
0 x 1
9. (a) y
(0, 1) t=0
(b) y − 1 2 x 2 , x > 0
29. π
(1, 0) t=1
0 x
_4
4
(2, _3) t=4
_π
11. (a) x 2 1 y 2 − 1, y > 0 (b)
_1
y
1
0 1
x
31. (b) x − 22 1 5t, y − 7 2 8t, 0 < t < 1
33. (a) x − 2 cos t, y − 1 2 2 sin t, 0 < t < 2
(b) x − 2 cos t, y − 1 1 2 sin t, 0 < t < 6
(c) x − 2 cos t, y − 1 1 2 sin t, y2 < t < 3y2
37. The curve y − x 2y3 is generated in (a). In (b), only the portion
with x > 0 is generated, and in (c) we get only the portion with
x . 0.
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