Solved: A rectangle is inscribed in a semicircle of radius
Chapter , Problem 3.6.8(choose chapter or problem)
A rectangle is inscribed in a semicircle of radius 2. See the figure. Let P = (x, y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. y y = .J4 - x2 x (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 = A (x). For what value of x is A largest? (d) Graph p = p( x). For what value of x is p largest?
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