Answer: A rectangle is inscribed in a semicircle of radius
Chapter 2, Problem 8(choose chapter or problem)
A rectangle is inscribed in a semicircle of radius 2. See the figure. Let P = 1x, y2 be the point in quadrant I that is a vertex of the rectangle and is on the circle. Applications and Extensions x y y x 3 (0, y) (x, y) (0, 0) x y 4 (x, y) y 16 x 2 (0,0) 8 16 (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 A = A1x2. For what value of x is A largest? (d) Graph p = p1x2. For what value of x is p largest? 9
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