A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y 1 x 2 y 1 x2 What are the dimensions of such a rectangle with the greatest possible area Width Height

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Question: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 x 2 y=1-x2 .

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola $y = 1 - x^{2}$ . What are the dimensions of such a rectangle with the greatest possible area?

Width =
Height =

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