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A very useful theorem of multivariate vector calculus is the Gauss Divergence Theorem: V grad * v e c ( F ) d V =
A very useful theorem of multivariate vector calculus is the Gauss Divergence
Theorem:
gradvec
which governs any continuous arbitrary vector field vec Using the following
vector field in rectangular coordinates: vecxveczvecyvec show that the Gauss
Divergence Theorem holds over the region bounded by the following planes:
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