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

A118 Appendix I Answers to Odd-Numbered Exercises
3. Circular cylinder 5. Parabolic cylinder
z
z
17. Ellipsoid
z
(0, 0, 2)
x
y
x
y
x
(3, 0, 0) (0, 5, 0)
y
7. Hyperbolic cylinder
y
19. Hyperbolic paraboloid
z
y
x
x
y
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21. VII 23. II 25. VI 10.12.00 27. VIII
9. (a) x − k, y 2 2 z 2 − 1 2 k 2 , hyperbola sk ±61d;
y − k, x 2 2 z 2 − 1 2 k 2 , hyperbola sk ±61d;
z − k, x 2 1 y 2 − 1 1 k 2 , circle
(b) The hyperboloid is rotated so that it has axis the y-axis
(c) The hyperboloid is shifted one unit in the negative y-direction
11. Elliptic paraboloid with axis the x-axis
z
29. Circular paraboloid z
x
y
x
y
31. y 2 − x 2 1 z2
9
z
13. Elliptic cone with axis the x-axis
z
Elliptic cone with axis the
y-axis
y
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6et 12.6.11
04.01.07
x
x
y
15. Hyperboloid of one sheet with axis the x-axis
z
33. y − z 2 2 x 2
2
Hyperbolic paraboloid
z
x
y
x
y
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