A manufacturer of corrugated metal roofing wants toproduce panels that are 28 in. wide and 2 in. thick byprocessing flat sheets of metal as shown in the figure. Theprofile of the roofing takes the shape of a sine wave. Verifythat the sine curve has equation  y = sin ( pie x / 7 ) andfind the width w of a flat metal sheet that is needed tomake a 28-inch panel. (Use your calculator to evaluate theintegral correct to four significant digits.)

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