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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = x(6-x). a) Find an area formula

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = x(6-x).

a) Find an area formula for the rectangle A(x)

b) What are the dimensions of such a rectangle with the greatest possible area?

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