10. Suppose that E satisfies the hypotheses of Gauss's Theorem and S satisfies the hypotheses of Stokes's...

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10. Suppose that E satisfies the hypotheses of Gauss's Theorem and S satisfies the hypotheses of Stokes's Theorem.

(a) If!: S -4 R is a C2 function and F = grad! on S, prove that I las (iF)· Tds = 0.

(b) If G : E -4 R3 is a C2 function and F = curlG on E, prove that I laE (iF) ·nder = IlL grad!· FdV.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 10:15 AM

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10. Suppose that E satisfies the hypotheses of Gauss's Theorem and S satisfies the hypotheses of Stokes's...

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An Introduction To Analysis

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