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(3 points) The region W is the cone shown below. The angle at the vertex is 7/2, and the top is flat and at a

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(3 points) The region W is the cone shown below. The angle at the vertex is 7/2, and the top is flat and at a height of 4. Write the limits of integration for w dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry): (a) Cartesian: With a = -4 6 = 4 4-X d = x-4 e = sqrt(x*2+y^2) and f = 4 Volume = Sa Se Se 1 d z dy d x (b) Cylindrical: With a = 0 b = 2pi C = 0 d = 4 e = and f = 4 Volume = Sa Se Se 1 dy d x d z (c) Spherical: With a = 0 b = 2pi C = 0 d = pi/6 e = 0 and f = 4secy Volume = Sa Se Se x^2siny d x dy d z

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