Concept explainers
9. A rectangle is inscribed in a semicircle of radius 2. See the figure. Let be the point in quadrant I that is a vertex of the rectangle and is on the circle.
(a) Express the area A of the rectangle as a function of x.
(b) Express the perimeter p of the rectangle as a function of x.
(c) Graph . For what value of x is A largest?
(d) Graph . For what value of x is p largest?
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