Evaluate the integral ff]; zdmdydz where W is the region bounded by the planes; 1! = O, y = 0, z = 0, z = 1 and the (quarter) cylinder 332 +y2 S 1,...

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Evaluate the integral ff]; zdmdydz where W is the region bounded by the planes; 1!: = O, y = 0, z = 0, z = 1 and the(quarter) cylinder 332 +y2 S 1, a: Z 0, y 2 0. b) Perform the indicated integration over the box B = [0, 1] x [0, 1] x [0,1] f/f zem+ydmdydz.B a) Let T(u, ’U) = (u, v(1+u)) and let D* be the rectangle [0,1]><[1, 2]. Find D := T(D*)and perform the integration [/1303 — y)d:cdy. b) Let D be the unit disk. Express as an integral over [0. ll X l0. 27d and evaluate. ff (1 + $2 + y2)3/2d:rdyD