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ASSIGNMENT: Finding arclength.) A manufacturer of corrugated metal roofing wants to produce panels that are 28 in wide and 2 in thick by processing...

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ASSIGNMENT: Finding arclength. (As in any of these assignments, work the problem with paper and pencil and then use maple as a calculation tool where it says to use Maple.) A manufacturer of corrugated metal roofing wants to produce panels that are 28 in wide and 2 in thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave with two full periods. Find the equation of the sine curve that represents the profile without Maple in the form y=A(sin(Bx). (This only requires knowledge of trigonometry). Use Maple to find the width w of the flat metal sheet that is needed to make a 28 in panel. Check out: http://www.metalroofingwholesalers.com/simulated_spanish-mexican_clay_tile.htm What is the width of the sheet that is advertised here.
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