MATH 2210 Final: MATH 2210 Cornell 2210 2016 Fall Final solution Exam

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31 Jan 2019
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You have 2 hours 30 minutes to complete this exam. The exam is printed on both sides of the paper. Be sure to write all the limits of integration, but do not attempt to evaluate the integral. (c) calculate the volume of by using cylindrical coordinates. (6) let s be the surface in r3 given by the parametrization. 4 , 0). (c) find the surface integral where. Zzs f (x, y, z)ds f (x, y, z) = 4 + 2x6 (7) de ne a vector eld f on r3 by. + z2 = 1. (8) a beaver has built a dam d in the shape of the rectangle x = 1, 2 y 2, The ow of water in r3 at time t is given by the vector eld. At what time t will the dam burst? (c) now suppose that the ow of water is instead given by the eld ft.

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