Solved: A rectangle has one corner in quadrant I on the

Chapter 2, Problem 7

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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. (a) Express the area A of the rectangle as a function of x. (b) What is the domain of A? (c) Graph A = A1x2. For what value of x is A largest?

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