Question: A rectangle is inscribed with its base on the r-axis and its upper corners on the parabola y = 1 - x2. (a) Find a

A rectangle is inscribed with its base on the r-axis and

A rectangle is inscribed with its base on the r-axis and its upper corners on the parabola y = 1 - x2. (a) Find a formula for the area of the rectangle in terms of r. (b) What are the smallest and largest values possible for a? (c) What are the dimensions of such a rectangle with the greatest possible area? 1

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