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Mathematics, 22.12.2020 18:30 eggoysters

A manufacturer of corrugated metal roofing wants to produce panels that are a = 60 cm wide and 4 cm thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave. Verify that the sine curve has equation y = 2 sin(x/15)
and find the width w of a flat metal sheet that is needed to make a 60-cm panel. (Use your calculator to evaluate the integral correct to four significant digits.)

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