Page 348 - Calculus Demystified

Final Exam
√
3 335
(b)
3
√
(c) 3
√
(d) 3 + 3
√
(e) 3 3
2
95. The planar region bounded by y = x and y = x is rotated about the line
y =−1. What volume results?
11π
(a)
15
7π
(b)
15
7π
(c)
19
8π
(d)
15
2π
(e)
15
√
96. The planar region bounded by y = x and y = x is rotated about the line
x =−2. What volume results?
4π
(a)
5
4π
(b)
7
9π
(c)
5
4π
(d)
3
11π
(e)
5
97. A bird is flying upward with a leaking bag of seaweed. The sack initially
weights 10 pounds. The bag loses 1/10 pound of liquid per minute, and the
bird increases its altitude by 100 feet per minute. How much work does the
bird perform in the first six minutes?

(a) 5660 foot-pounds
(b) 5500 foot-pounds