Solved: Zero average value Find the value of a > 0 such

Chapter 11, Problem 44E

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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) = x + y – 8

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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) = x + y – 8

ANSWER:

Solution 44EStep 1 :Find the value of a > 0 such that the average value of the following functions over R = {(x, y): 0 x a, 0 y a} is zero.f (x, y) = x + y – 8

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