Suppose (x, y) is continuous over a region R in the plane and that the area A(R)

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Suppose ƒ(x, y) is continuous over a region R in the plane and that the area A(R) of the region is defined. If there are constants m and M such that m ≤ ƒ(x, y) ≤ M for all (x, y)ε R, prove that

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 09, 2023 02:29 AM

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Suppose (x, y) is continuous over a region R in the plane and that the area A(R)

Question:

mA(R) < ffs f(x, y) dAMA(R). R

Step by Step Answer:

Since x y is continuous over R by the Extreme Value Theorem it must attain a minimum value m an...View the full answer

Thomas Calculus Early Transcendentals

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