Question: A rectangle has one vertex in quadrant I on the graph of y = 10 x 2 , another at the origin, one on

A rectangle has one vertex in quadrant I on the graph of y = 10 – x², another at the origin, one on the positive x-axis, and one on the positive y-axis.

(a) Express the area A of the rectangle as a function of x.

(b) Find the largest area A that can be enclosed by the rectangle.

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