e=&platformld=103032Qmeasures to the nearest hundredth.70. Construction of a Rain Guttersheet metal is 20 inches wide. It is to be made into a raingutter by turning up the edges to form parallel sides. Let xrepresent the length of each of the parallel sides in inches.See the figure.A rectangular piece of20 in.20 - 2x(a) Give the restrictions on x.(b) Determine a function A that gives the area of a crosssection of the gutter.(c) For what value of x will A be a maximum (and thusmaximize the amount of water that the gutter willhold)? What is this maximum area?(d) For what values of x will the area of a cross section beless than 40squareinches?

Answered: Image /qna-images/answer/8c04647e-d9f1-429d-a805-b3aa9578887a.jpg

70. Construction of a Rain Gutter A rectangular piece of sheet metal is 20 inches wide. It is to be made into a rain gutter by turning up the edges to form parallel sides. Let x represent the length of each of the parallel sides in inches. See the figure. 20 in. 20 - 2.x (a) Give the restrictions on x. (b) Determine a function A that gives the area of a cross section of the gutter. (c) For what value of x will A be a maximum (and thus maximize the amount of water that the gutter will hold)? What is this maximum area?

70. Construction of a Rain Gutter A rectangular piece of sheet metal is 20 inches wide. It is to be made into a rain gutter by turning up the edges to form parallel sides. Let x represent the length of each of the parallel sides in inches. See the figure. 20 in. 20 - 2.x (a) Give the restrictions on x. (b) Determine a function A that gives the area of a cross section of the gutter. (c) For what value of x will A be a maximum (and thus maximize the amount of water that the gutter will hold)? What is this maximum area?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

e=&platformld=1030
32
Q
measures to the nearest hundredth.
70. Construction of a Rain Gutter
sheet metal is 20 inches wide. It is to be made into a rain
gutter by turning up the edges to form parallel sides. Let x
represent the length of each of the parallel sides in inches.
See the figure.
A rectangular piece of
20 in.
20 - 2x
(a) Give the restrictions on x.
(b) Determine a function A that gives the area of a cross
section of the gutter.
(c) For what value of x will A be a maximum (and thus
maximize the amount of water that the gutter will
hold)? What is this maximum area?
(d) For what values of x will the area of a cross section be
less than 40
square
inches?

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