Find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse x2/a2

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Find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse x2/a2 + y2/b2 = 1.
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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