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Find the dimensions and the area of the largest rectangle that can be inscribed in the upper half of the ellipse: (x^2/a^2)+(y^2/b^2) =1 For the...

Find the dimensions and the area of the largest rectangle that can be inscribed in the upper half of the ellipse:
(x^2/a^2)+(y^2/b^2) =1
For the default values of a = 3 and b = 2.5, what approximate value of x gives the largest rectangle area? (Round your answer to two decimal places.)
What are the dimensions of this rectangle?

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