Question: This is the question that needs to be solved. 2 A rectangle is to be inscribed in the ellipse () + y2 = 1, where

This is the question that needs to be solved.

2 A rectangle is to be inscribed in the ellipse () + y2 = 1, where b > 0 is an unknown real number. What should the dimensions of the rectangle be (in terms of b) to maximize its area? What is the maximum area (again, in terms of b)

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