MTH 161 Final: MTH 161 University of Rochester 161 Final Fall 2010

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31 Jan 2019
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8:00 am in hutchison 140 & 141 (lander and hubbell auditoriums: evaluate the following integrals. State the method you use to nd the antiderivatives. (make up some limits of integration to practice de nite integrals, especially when substitution or integration by parts is used. ) x dx. Z x7 1 + x2 dx: a tank has the shape of an inverted circular cone with height 8 m and square base of radius 4 m. the tank is full of water. Find the work required to empty the tank by pumping all of the water to the top of the tank. (use the fact that water density is. 1000 kg per cubic meter. : a swimming pool has the shape of a cylinder with (horizontal) radius 5 meters and depth 3 meters. Assume that the pool contains water to a depth of 2 meters. 2, x = ey, y = 1 and y = 1.