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

A108 Appendix I Answers to Odd-Numbered Exercises
(c)
33.
35.
¨= π 6
O
π
_
3
O
(2π, 2π)
(3, 0)
π
”3, _
3 ’
s3, 5y3d, s23, 2y3d
3. (a)
(b)
π
”œ„, 2 4 ’
37.
¨= π 8
39.
O
3π
”2,
2
’
O
π
4
(2, 0)
(4, 0)
(_2, π)
(c)
s0, 22d s1, 1d
O
π
_ 6
π
”_1, _ 6 ’
(2s3y2, 1y2)
5. (a) (i) (4s2 , 3y4) (ii) (24s2 , 7y4)
(b) (i) s6, y3d (ii) s26, 4y3d
7.
9.
O
r=1
¨= 3π 4
O
¨= π 4
41.
45.
O
π
ms80907-2 ”œ„2/2,
2
’
6et 10.3.43
12.06.06
(3, π/4)
43.
47.
O
2
1
(3, π/6)
(1, π) (_1, 3π)
O 1
11.
¨= 7π 3
r=2
O
r=3
49.
51.
cah135
10.6.00
x=1
¨= 5π 3
13. 2s7 15. Circle, center O, radius s5
17. Circle, center s5y2, 0d, radius 5y2
19. Hyperbola, center O, foci on x-axis
21. r − 2 csc 23. r − 1yssin 2 3 cos d
25. r − 2c cos 27. (a) − y6 (b) x − 3
29.
31.
O
(2, 3π/2)
O
(4, 0)
(2, 0) (6, 0)
53. (a) For c , 21, the inner loop begins at − sin 21 s21ycd
and ends at − 2 sin 21 s21/cd; for c . 1, it begins at
− 1 sin 21 s1ycd and ends at − 2 2 sin 21 s1ycd.
55. 1ys3 57. 2 59. 1
61. Horizontal at (3ys2, y4), (23ys2, 3y4);
vertical at s3, 0d, s0, y2d
63. Horizontal at ( 3 2 , y3), s0, d [the pole], and ( 3 2 , 5y3);
vertical at (2, 0), ( 1 2 , 2y3), ( 1 2 , 4y3)
65. Center sby2, ay2d, radius sa 2 1 b 2 y2
O
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