Ellipse problems Let R be the region bounded

Chapter 14, Problem 52E

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QUESTION:

Ellipse problems Let R be the region bounded by the ellipse \(x^{2} / a^{2}+y^{2} / b^{2}=1\), where a > 0 > and b > 0 are real numbers. Let T be the transformation x = au, y = bv.

Find the average distance between points in the upper half of R and the x-axis.

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QUESTION:

Ellipse problems Let R be the region bounded by the ellipse \(x^{2} / a^{2}+y^{2} / b^{2}=1\), where a > 0 > and b > 0 are real numbers. Let T be the transformation x = au, y = bv.

Find the average distance between points in the upper half of R and the x-axis.

ANSWER:

Solution 52EStep 1

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