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) = xey i + (z - ey)j - xy k, S is the ellipsoid x2 + 2y2 + 3z2 = 4

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