161E3-F00

# 161E3-F00 - MA 161 161E EXAM 3 FALL 2000 1 A ladder 10 feet...

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EXAM 3 FALL 2000 1. A ladder 10 feet long is leaning against a wall. The foot of the ladder is being pulled away from the wall at 3 feet per second. How fast, in feet per second, is the top of the ladder sliding down the wall when the foot of the ladder is 8 feet from the wall? A. 1 B. 2 C. 3 D. 4 E. 5 2. A spherical tank has radius equal to 10 feet (= 120 inches). Use diﬀerentials to estimate, in cubic inches, the amount of paint needed to cover the surface with a layer 1 100 of an inch thick. ( V = 4 3 πr 3 ). A. 288 π B. 480 π C. 576 π D. 640 π E. 960 π 3. Find the absolute minimum of the function f ( x )=4 x 3 - 15 x 2 +12 x +7 on the closed interval [0 , 3]. A. 0 B. 1 C. 3 D. 5 E. 7 1

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EXAM 3 FALL 2000 4. How many real roots does the equation x 7 + x +1=0have? A. 1 B. 2 C. 3 D. 5 E. 7 5. Find the largest interval on which the function f ( x )= x sin x +cos x ,0 x π ,is increasing. A. (0
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161E3-F00 - MA 161 161E EXAM 3 FALL 2000 1 A ladder 10 feet...

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