Use the Divergence Theorem to calculate the surface integral S F dS that is, calculate the flux of F across S F(x, y, z) x 2 yz i xy 2 z j xyz 2 k, S is the surface of the box enclosed by the planes x 0, x a, y 0, y b, z 0, and z c, where a, b, and c are positive numbers

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 ʃʃ_S F • dS; that is, calculate the flux of F across S.

F(x, y, z) = x²yz i + xy²z j + xyz² k, S is the surface of the box enclosed by the planes x = 0, x = a, y = 0, y = b, z = 0, and z = c, where a, b, and c are positive numbers

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