A long piece of galvanized sheet metal with width w is to

Chapter , Problem 3

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A long piece of galvanized sheet metal with width w is to be bent into a symmetric form with three straight sides to make a rain gutter. A cross-section is shown in the figure. (a) Determine the dimensions that allow the maximum possible flow; that is, find the dimensions that give the maximum possible cross-sectional area. (b) Would it be better to bend the metal into a gutter with a semicircular cross-section? 7et14fppx03 05/12/10 MasterID: 01650 FIGURE FOR PROBLEM 3 x x w-2x

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