Let H be a closed, connected, nonempty Jordan region and suppose that f: H R is continuous.

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Let H be a closed, connected, nonempty Jordan region and suppose that f: H †’ R is continuous. If g: H †’ R is integrable and nonnegative on H, prove that there is an x0 ˆˆ H such that

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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 04:23 AM

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Let H be a closed, connected, nonempty Jordan region and suppose that f: H R is continuous.

Question:

f(x0) g(x) dx = f(x)g(x) dx.

Step by Step Answer:

Let m inf x H fx and M sup x H fx By Theorem 1226 t...View the full answer

An Introduction to Analysis

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