Suppose that E satisfies the hypotheses of the Divergence Theorem and that S satisfies the hypotheses of

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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.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:28 AM

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Suppose that E satisfies the hypotheses of the Divergence Theorem and that S satisfies the hypotheses of

Question:

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

Step by Step Answer:

a Let C 1 be the outside curve By Greens Theorem and hyp...View the full answer

An Introduction to Analysis

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