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Verify that the divergence theorem is true for the vector field f on the region e. give the flux. f(x, y, z) = 4xi + xyj + 4xzk, e is the cube bounded by the planes x = 0, x = 2, y = 0, y = 2, z = 0, and
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Aug 7, 2019
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Verify that the divergence theorem is true for the vector field f on the region
e. give the flux. f(x, y, z) = 4xi + xyj + 4xzk, e is the cube bounded by the planes x = 0, x = 2, y = 0, y = 2, z = 0, and z = 2.
Mathematics
college
Austin Harris
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By the divergence theorem,
where
is the boundary of
. We have
so the flux is
FRules
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Aug 12, 2019
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FRules
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