##### A rain gutter is formed by bending up the sides of a 44-inch-wide rectangular me

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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?

in2

Jul 8th, 2015

Thank y breadth =44 If the sides are bent by x on either side then new breadth b' becomes b – 2x = 44 -2x and Cross sectional area A (x) = x ( 44 -2x) A (x)= 44x -2x^2 (b)For maximunm A'(x) =o 44 -4x = 0 x =11 c. maximum area = 11 (44 -22) = 242 sq inches ou for the opportunity to help you with your question!

If  the sides are bent by x on either side

then new  breadth  b' becomes b – 2x

= 44 -2x

and Cross sectional area  A (x)  = x ( 44 -2x)

A (x)= 44x -2x^2

(b)For maximunm A'(x) =o

44 -4x = 0

x =11

c. maximum area = 11 (44 -22) = 242 sq inches

Jul 8th, 2015

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Jul 8th, 2015
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Jul 8th, 2015
Oct 22nd, 2017
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