Question: A rectangle has one corner in quadrant I on the graph of y = 16 - x 2 , another at the origin, a third

A rectangle has one corner in quadrant I on the graph of y = 16 - x², another at the origin, a third on the positive y-axis, and the fourth on the positive x-axis. See the figure.

Уд 16 у%3 16 — х2 (х, у) 8 4 х (0,0)

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

(b) What is the domain of A?

16 %3 16 2 (, ) 8 4 (0,0)

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