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Here is the file. 2 2 X Y Use the method of Lagrange multipliers to find the dimensions ofthe rectangle of greatest area that can

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2 2 X Y Use the method of Lagrange multipliers to find the dimensions ofthe rectangle of greatest area that can be inscribed in the ellipse + 3 25 = 1 With Sides parallel to the coordinate axes. Let length be the dimension parallel to the xaxis and let width be the dimension parallel to the yaxis. Length = D Width = |:| (Type exact answers, using radicals as needed.)

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