Question

Making a Rain Gutter A rain gutter is formed by bending up the sides of a 30-in.-wide rectangular metal sheet as shown in the figure.
(a) Find a function that models the cross-sectional area of the gutter in terms of x.
(b) Find the value of x that maximizes the cross-sectional area of the gutter.
(c) What is the maximum cross-sectional area for the gutter?

30 in.
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Calculus

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