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Answer: Ellipse problems Let R be the region bounded by
Chapter 14, Problem 50E(choose chapter or problem)
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 center of mass of the upper half of R (\(y \geq 0)\) assuming it has a constant density.
Questions & Answers
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 center of mass of the upper half of R (\(y \geq 0)\) assuming it has a constant density.
ANSWER:Solution 50EStep 1