Use Lagrange multipliers to find the maximum area of a rectangle inscribed in the ellipse (Figure 15):

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Use Lagrange multipliers to find the maximum area of a rectangle inscribed in the ellipse (Figure 15):

(-x,y) (x, y) 2 a2 b2 + J2 = 1 (x, y) (x, y) X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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