Let W be the three dimensional region under the graph of f(x, y) = exp[-2(x² + y)] and over the region in the plane z = 0 defined by 2 < x? + y < 5. (a) Use the divergence theorem to calculate the flux of F = (x y +2 x) i+ yj-yzk out of the region W. (b) Find the flux of F out of the part of the boundary of W for which z > 0, i.e. excluding the contribution across the boundary in the plane z = 0 defined by 2 < x² + y < 5.

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