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Find the average temperature in the box D = {(x,y,z): 0sxsIn 2, 0sys In 4, 0szs In 8} with a temperature distribution of T(X,y,z) =

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Find the average temperature in the box D = {(x,y,z): 0sxsIn 2, 0sys In 4, 0szs In 8} with a temperature distribution of T(X,y,z) = 80e - x-y-z The average temperature is (Type an exact answer.)Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y = x and the planes z = 23 -y and z = 0. The volume of the wedge is (Type an exact answer.)Evaluate the following integral. In 16 +2 In (2y) exty' - z dx dy dz 1 1 In y In 16 1z In (2y) exty - z dx dy dz = 1 1 In y (Type an exact answer.)

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