Suppose that ( is increasing on [(, b] and Prove that And give a physical interpretation of

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Suppose that ( is increasing on [(, b] and

Prove that

And give a physical interpretation of this result. Let F(x, y) = [y - x][((y) - ((x)] and use the hint of Problem 41.
Consider the double integral of
F(x, y) = [((x)g(y) - ((y)g(x)]2
Over the rectangle R = {(x, y): ( ( x ( b, ( ( y ( b}.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 11:14 AM

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Suppose that ( is increasing on [(, b] and Prove that And give a physical interpretation of

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f(x) dx 0. af(x) dx a +b f(x) dx 0

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Since f is increasing y xfy fx 0 Therefore Therefore Now ...View the full answer

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