Question: Suppose that E satisfies the hypotheses of the Divergence Theorem and that S satisfies the hypotheses of Stokes's Theorem. a) If f : S R

Suppose that E satisfies the hypotheses of the Divergence Theorem and that S satisfies the hypotheses of Stokes's Theorem.
a) If f : S †’ R is a C2 function and F = grad f on S, prove that

b) If G: E †’ R3 is a C2 function and F = curl G on E, prove that

You may wish to use Exercises 13.5.8 and 13.5.9.

lla (/F) . T ds =0. JJaE

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