(i) Use the Divergence Theorem to calculate the surface integral ſſ F-dS; that is, calculate the flux of F across S where F(x, y, z) = xye²i + xy²z³j – ye²k, S is the surface of the - boy bounded by the coordinate planes and the planes - 3 u-2 and -1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Use the Divergence Theorem to calculate the surface integral ſ F-dS; that is, calculate
the flux of F across S where F(x, y, z) = xye²i + xy²z³j – ye²k, S is the surface of the
box bounded by the coordinate planes and the planes x = 3, y = 2, and z = 1.
Transcribed Image Text:Use the Divergence Theorem to calculate the surface integral ſ F-dS; that is, calculate the flux of F across S where F(x, y, z) = xye²i + xy²z³j – ye²k, S is the surface of the box bounded by the coordinate planes and the planes x = 3, y = 2, and z = 1.
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