Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate

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Use the Divergence Theorem to calculate the surface integral ʃʃS F • dS; that is, calculate the flux of F across S.

F(x, y, z) = (2x3 + y3) i + (y3 + z3) j + 3y2z k, S is the surface of the solid bounded by the paraboloid z = 1 - x2 - y2 and the xy-plane

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