Which do you think will be larger, the average value of f(x, y) = xy over the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, or the average of f over the quarter circle x² + y² ≤ 1 in the first quadrant? Calculate them and find out.

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A: As per the rules we can answer only first question and rest can be reposted.

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A: Please see the below picture for detailed solution.

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