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.
(a) Express the area A of the rectangle as a function of x.
(b) What is the domain of A ?
(c) Graph A = A(x). For what value of x is A largest?
(d) What is the largest area? YA 16 8 (0, 0) 2 y=16 - x (x, y) 4

YA 16 8 (0, 0) 2 y=16 - x (x, y) 4 x

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