## Question

###### Use the divergence theorem to compute the value of fluxintegral SF Â· dS, where F(x, y, z) = (y3 + 3x)i +(xz + y)j +[z + x4 cos(x2y)]k and S is the area of the region boundedby x2 + y2 = 1,x â‰¥ 0,y â‰¥ 0, and 0 â‰¤ z â‰¤ 1.

Use the divergence theorem to compute the value of flux integral S F Â· dS, where F(x, y, z) = (y3 + 3x)i + (xz + y)j + [z + x4 cos(x2y)]k and S is the area of the region bounded by x2 + y2 = 1, x â‰¥ 0, y â‰¥ 0, and 0 â‰¤ z â‰¤ 1.

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