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  3. a rectangle is to be inscribed in the ellipse (xb)

A rectangle is to be inscribed in the ellipse (xb)^2+y^2=1, where b>0 is an unknown real...

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Basic Math

A rectangle is to be inscribed in the ellipse (xb)^2+y^2=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 ofb)?

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