Question: Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate the flux of F across S. F(x, y,

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) = (x3 + y3) i + (y3 + z3) j + (z3 + x3) k, S is the sphere with center the origin and radius 2

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