Constructing a Rain Gutter A rain gutter is to be
Chapter 8, Problem 94(choose chapter or problem)
Constructing a Rain Gutter A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle See the illustration. The area A of the opening as a function of is given by A1u2 = 16 sin u1cos u + 12 0 6 u 6 90(a) In calculus, you will be asked to find the angle that maximizes A by solving the equation Solve this equation for . (b) What is the maximum area A of the opening? (c) Graph and find the angle that maximizes the area A.Also find the maximum area. Compare the results to the answer found earlier.
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