Let f vector(x, y,z) = xy i vector + 2(y +1)j vector + z k vector. Calculate fF

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Let f vector(x, y,z) = xy i vector + 2(y +1)j vector + z k vector. Calculate fF vector . d A, where $ is a 3 -part surface consisting of the portion of the parabolic cylinder z = 1 + (y ? 2)^2 that lies above the rectangular region 0 less than equal to x less than equal to 4, 0 less than equal to y less than equal to 3; and the shaded portions of the planes x = 0 and y = 0 shown in the diagram to the right. The three portions of the surface are oriented upward, in direction of the negative x-axis. and in the direction of the negative y-axis, respectively.

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