A rectangular box, whose edges are parallel to the coordinate axes, is inscribed in the ellipsoid 96x2

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A rectangular box, whose edges are parallel to the coordinate axes, is inscribed in the ellipsoid 96x2 + 4y2 + 4z2 = 36. What is the greatest possible volume for such a box?
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Calculus

ISBN: 978-0131429246

9th edition

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

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