A rain gutter is formed by bending up the sides of a 52-in.-wide rectangular metal sheet as shown in the figure. width (a) Find a function that models the cross-sectional area of the gutter in terms of x. A(x) = %3D (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? in?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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.
width
(a) Find a function that models the cross-sectional area of the gutter in terms of x.
A(x) =
%3D
(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?
in?
Transcribed Image Text:A rain gutter is formed by bending up the sides of a 52-in.-wide rectangular metal sheet as shown in the figure. width (a) Find a function that models the cross-sectional area of the gutter in terms of x. A(x) = %3D (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? in?
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