Among all rectangles centered at the origin with vertices on the ellipse x 2 /a 2 +

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Among all rectangles centered at the origin with vertices on the ellipse x2/a2 + y2/b2 = 1, what are the dimensions of the rectangle with the maximum area (in terms of a and b)? What is that area?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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