Unformatted text preview: 1. By revolving the curve y = x 2 / 3 with 0 ≤ x ≤ 8 ft along the y-axis, we get a tank. Suppose this tank is ﬁlled with seawater whose weight-density is 64 lb/ft 3 . How much work does it take to pump the liquid to the level of the top of the tank? 2. A circular plate with diameter 4ft is submerged vertically in a swimming pool. The distance from the top of the plate to the water surface is 3 ft. Find the force exerted by the water against one side of the disk. (Water’s weight-density is 62.4 lb/ft 3 ). 3. Evaluate the integral Z 8 1 log 8 x x dx 1...
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- Spring '08
- Calculus, 8 FT, 3 ft, 4ft, 62.4 lb, 64 lb