A piece of rectangular sheet metal is 20 in. wide. It is to be made into a

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A piece of rectangular sheet metal is 20 in. 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. Give approximations to the nearest hundredth.

(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 in.²?

20 in. х х 20- 2х

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College Algebra

ISBN: 978-0134697024

12th edition

Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

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A piece of rectangular sheet metal is 20 in. wide. It is to be made into a

Question:

20 in. х х 20- 2х

Step by Step Answer:

a In order for the width and height of the gutter to be positive quantities 0 x 10 b Ax x2...View the full answer

College Algebra

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