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A Norman window has the shape of a rectangle with a semicircular top.    The height of...

A Norman window has the shape of a rectangle with a semicircular top.    The height of the rectangle is h and its width is w The base of the semicircuiar top is also w. Assume that the semicircular portion of the perimeter is three times as costly to build as the straight edges.. Fora given area, what ratio of height to radius would minimize cost?

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