MATH 022 Midterm: math22_2007s_exam3_review
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Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and nishes draining just as the bucket reaches the 12 m level. How much work is done: a dam has the shape of the trapezoid shown in the gure below. Find the force on the dam due to hydrostatic pressure if the water level is 4 m from the top of the dam. 20 m: find the hydrostatic force on one end of a cylindrical drum with radius 3 ft if the drum is submerged in water 10 ft deep. 10 ft: test the series for convergence or divergence. (i) (cid:1) n=1. 1 + 7n (ii) (cid:1) n=1 n (7 + n2)3 (iii) (cid:1) n=1 ( 1)n 1 n2 + 2n + 1 (iv) (cid:1) n=1 (2n)! n! (n + 1)! (v) (cid:1) n=1. 1 n ne (vii) (cid:1) n=1 n sin n n3 + 1 (viii) (cid:1) n=1.
