Making a Rain Gutter A rain gutter is formed by bending upthe sides of a 30-in.-wide

Chapter 3, Problem 64

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

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