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A rain gutter is formed by bending up the sides of a 52-in.-wide rectangular metal...

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Basic Math

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A rain gutter is formed by bending up the sides of a 52-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?

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