A rain gutter is formed by bending up the sides of a 38-inch-wide rectangular metal sheet as shown in the fi width (a) Find a function A 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? in²

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A rain gutter is formed by bending up the sides of a 38-inch-wide rectangular metal sheet as shown in the figu
width
(a) Find a function A 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?
in²
Transcribed Image Text:A rain gutter is formed by bending up the sides of a 38-inch-wide rectangular metal sheet as shown in the figu width (a) Find a function A 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? in²
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