A long piece of sheet metal w inches wide is to be bent into a SYMMETRIC form with three straight sides to make a rain gutter. A cross section is shown below. \_____/ The base is w-2x and the angled side lengths are both x with a theta between top horizontal. A. Determine dimensions that allow maximum possible flow or maximum cross sectional area. B. Would it be better to bend the material into a gutter with a semicircular cross section than a three sided cross section?