A rectangle has one corner in quadrant I on the graph of y = 16 - x

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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?

(c) Graph A = A(x). For what value of x is A largest?

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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