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X y4 y 2 e xy dA 0 x y 2 e xy dydx 4 y 0 0 y 2 e xy dxdy Evaluation of the first integral requires using integration by parts whereas for the second integral we have 4 y 2 e xy x y xy y e dA dxdy dy 0 y x 0 2 a 20 pts. The slope is m 2 0 2. Thus y mx b 2x 2. Let R denote the region enclosed by the triangle. The surface area is given by A S 1 z x 2 z y 2 dA 1 2x 2 1 2 dA 2 4x 2 dydx y 2 2 4x 2 dxdy 3 20 pts. There is a table of integrals on the last page of the exam. Score...
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