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

A136 Appendix I Answers to Odd-Numbered Exercises
15. Hyperbola 17. Ellipse
y
4
y= 5 x
_5 0 5 x
4
y=_ x
5
1
_
2
y
1
0 1 x
2
19. Parabola 21. Hyperbola
y
y
_1
Exercises d • page A32
1. 7y6 3. y20 5. 5 7. 720° 9. 75°
11. 267.58 13. 3 cm 15. 2 3 rad − s120yd°
17.
y
19.
y
21.
0
0 x
x
315ϒ
_ 3π 4
y
1
y=_ x 3
1
y= x 3
2 rad
_1 0 x
_1
0 x
_1
0 x
23. Hyperbola 25. Ellipse
y
y
(1, 2)
0 x
0
x
27. Parabola 29. Parabola
y
y
2
0 4 x
(3, 4)
2
0 x
31. Ellipse 33.
y
y
23. sins3y4d − 1ys2, coss3y4d − 21ys2, tans3y4d − 21,
cscs3y4d − s2, secs3y4d − 2s2, cots3y4d − 21
25. sins9y2d − 1, coss9y2d − 0, cscs9y2d − 1, cots9y2d − 0
, tans9y2d and secs9y2d undefined
27. sins5y6d − 1 2 , coss5y6d − 2s3y2, tans5y6d − 21ys3,
cscs5y6d − 2, secs5y6d − 22ys3, cots5y6d − 2s3
29. cos − 4 5 , tan − 3 4 , csc − 5 3 , sec − 5 4 , cot − 4 3
31. sin − s5y3, cos − 2 2 3 , tan − 2s5y2, csc − 3ys5,
cot − 22ys5
33. sin − 21ys10, cos − 23ys10, tan − 1 3 ,
csc − 2s10, sec − 2s10y3
35. 5.73576 cm 37. 24.62147 cm 59. 1 15 (4 1 6s2 )
1
61. 15 (3 1 8s2 ) 63. 24
25 65. y3, 5y3
67. y4, 3y4, 5y4, 7y4 69. y6, y2, 5y6, 3y2
71. 0, , 2 73. 0 < x < y6 and 5y6 < x < 2
75. 0 < x , y4, 3y4 , x , 5y4, 7y4 , x < 2
77. y
1
2
1
0 π 5π
x
3 6
(3, 9)
0 1 3 5 x
79. y
0 x
35. y − x 2 2 2x
37. 39.
y
1
0 1 x
y
0 1 x
1
0 π π 3π 2π 5π 3π x
2 2 2
81. y
1
_π
0 π
2π x
89. 14.34457 cm 2
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