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A rain gutter is formed by bending up the sides

07/04/2021 Client: muhammad11 Deadline: 2 Day

I’m studying and need help with a Algebra question to help me learn.

A rain gutter is formed by bending up the sides of a 44-inch-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.
A(x) =

(b) Find the value of x that maximizes the cross-sectional area of the gutter.
x =
in

(c) What is the maximum cross-sectional area for the gutter?

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