# Green's Theorem (Divergence)

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? Let D a domain on the plane bounded by a curve C. by applying Green's theorem (in divergence form) to a conservative vector field with potential f, defined on d, show that

before attempting this question, recall what is a conservative vector field, as well as the definition of the laplacian .

? Use the divergence theorem to calculate the surface integral where and S is the surface of the sphere of radius centered at the origin.

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#### Solution Summary

This solution is comprised of a detailed explanation to use the divergence theorem to calculate the surface integral.

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