Zero average value Find the value of a > 0 such that the

Chapter 11, Problem 45E

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QUESTION:

Zero average value Let \(R=\{(x, y): 0 \leq x \leq a, 0 \leq y \leq a\}\) Find the value of a > 0 such that the average value of the following functions over R is zero.

\(f(x, y)=4-x^{2}-y^{2}\)

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QUESTION:

Zero average value Let \(R=\{(x, y): 0 \leq x \leq a, 0 \leq y \leq a\}\) Find the value of a > 0 such that the average value of the following functions over R is zero.

\(f(x, y)=4-x^{2}-y^{2}\)

ANSWER:

Solution 45EStep 1:In this problem we have to find the value of a > 0 such that the average v

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