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OpenStudy (anonymous):
Let x be the width and y be the height of a norman window. Thus, the semi-circle has radius x/2. We must maximize the area of the window, A = xy + pi/2(x/2)^2. The perimeter of the window is 20 = 2y + x + pi(x/2), and so y = __________________ - x/2 - (pi x)/__________________________. Help filling the blanks? I assume I have to solve it a certain way, but I have no idea. Thanks.
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