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) = z i + y j + zx k,
S is the surface of the tetrahedron enclosed by the coordinate planes and the plane

x/a + y/b + z/c = 1
where a, b, and c are positive numbers

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