Use the Divergence Theorem to calculate the surface integral F. dS; that is, calculate the flux of F across S. F(x, y, z) = xye'i + xy²z³j – ye-k, S is the surface of the box bounded by the coordinate plane and the planes x = 9, y = 4, and z = 1.

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Use the Divergence Theorem to calculate the surface integral
F• dS; that is, calculate the flux of F across S.
F(x, y, z) = xyeži + xy²z³j – yežk,
S is the surface of the box bounded by the coordinate plane and the planes x = 9, y = 4, and z = 1.
Transcribed Image Text:Use the Divergence Theorem to calculate the surface integral F• dS; that is, calculate the flux of F across S. F(x, y, z) = xyeži + xy²z³j – yežk, S is the surface of the box bounded by the coordinate plane and the planes x = 9, y = 4, and z = 1.
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