A rain gutter is formed by bending up the sides of a 38-in.-wide rectangular metal sheet as shown in the figure width (a) Find a function that models the cross-sectional area of the gutter in terms of x. A(x) (b) Find the value of x that maximizes the cross-sectional area of the gutter. in X = (c) What is the maximum cross-sectional area for the gutter? in2

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