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

A110 Appendix I Answers to Odd-Numbered Exercises
21. s610, 0d, (610s2, 0), y − 6x
y
y=x
(10, 10)
{_10œ„2, 0}
(_10, 0) (10, 0)
{10œ„2, 0}
x
11. (a) 1 (b) Parabola (c) y − 2 3
(d)
y
y=2/3
1
” 3, π 2’
2
2
” 3 , π’
” 3, 0’
O
x
y=_x
23. s61, 1d, (6s2, 1), y 2 1 − 6x y
25. Hyperbola, s61, 0d, (6s5, 0)
27. Ellipse, s6s2, 1d, s61, 1d
29. Parabola, s1, 22d, (1, 2 11 6 )
31. y 2 − 4x 33. y 2 − 212sx 1 1d
35. sy 1 1d 2 − 2 1 2 sx 2 3d
x 2
37.
25 1 y 2
21 − 1 39. x 2 sy 2 4d2
1
12 16
sx 1 1d 2 sy 2 4d2
41. 1 − 1 43. x 2
12 16
sy 2 1d 2 sx 1 3d2
45. 2 − 1 47. x 2
25 39
x 2
3,763,600 1 y 2
(1, 2)
y=x+1
”_œ„, 2 1’ ”œ„, 2 1’
(_1, 0) (1, 0)
− 1
9 2 y 2
16 − 1
9 2 y 2
36 − 1
y=_x+1
49.
3,753,196 − 1
121x 2
51. (a)
1,500,625 2 121y 2
− 1 (b) <248 mi
3,339,375
55. (a) Ellipse (b) Hyperbola (c) No curve
59. 15.9
b 2 c
61. S
a
1 ab ln a where c
b 1 cD 2 − a 2 1 b 2
63. s0, 4yd
Exercises 10.6 • page 688
4
6
1. r −
3. r −
2 1 cos
2 1 3 sin
10
6
5. r −
7. r −
3 2 2 cos
1 1 sin
9. (a) 4 5 (b) Ellipse (c) y − 21
(d)
y
(4, π/2)
x
13. (a) 1 3 (b) Ellipse (c) x − 9 2
(d)
9
”
4
, π’
x= 9 2
3 π
”
2
,
2
’
9
”
8
, 0’
O
3 3π
”
2
,
2
’
15. (a) 2 (b) Hyperbola (c) x − 2 3 8
(d)
5et100613
Ans wer Ar t
3
1
”-
4
, 0’ 8.14.02 ”
4
, π’
O
x=_ 3 8
17. (a) 2, y − 2 1 2 1
5et100615
Ans wer Ar t
10.5.02
_2 2
y= -
1 2
_3
1
2
(b) r −
1 2 2 sins 2 3y4d
6et Ans. 10.6.17a
12.07.06
_2 2
19. The ellipse is nearly circular
when e is close to 0 and becomes
e=0.4
e=1.0
more elongated as e l 1 2 . At
6et Ans. e=0.6 10.6.17b
e − 1, the curve becomes a
12.07.06 e=0.8
parabola.
_2
” 4, π’
5
4
” 9 , 3π 2 ’
O
” 4 , 0’
5
x
y=_1
25. r −
2.26 3 108
1 1 0.093 cos
27. r −
29. 7.0 3 10 7 km 31. 3.6 3 10 8 km
1.07
; 35.64 AU
1 1 0.97 cos
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