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A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the...

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Calculus

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A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle, labeled x.)If the perimeter of the window is 8 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted.

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