Webassign Printed Access Card For Crauder/evans/noell's Functions And Change: A Modeling Approach To College Algebra, 6th Edition, Single-term
6th Edition
ISBN: 9781337652537
Author: Crauder, Bruce; Evans, Benny; Noell, Alan
Publisher: Cengage Learning
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Textbook Question
Chapter 2.6, Problem 9E
Forming a pen We want to form a rectangle pen of area 100 square feet. One side of the pen is to be formed by an existing buliding and the other three sides by a fence (see Figure 2.106). Let W be the length, in feet, of the sides of the rectangle perpendicular to the buliding, and let L be the length, in feet, of the other side.
Figure 2.106
a. Find a formula for the total amount of fence needed in terms of W and L
b. Express, as an equation involving W and L, the requirement that the area be 100 square feet.
c. Solve the equation you found in part b for L.
d. Use your answers to parts a and c to find a formula for F, the total amount, in feet, of fence needed, as a function of W alone.
e. Make a graph of F versus W.
f. Determine the dimension of the rectangle that requires a minimum amount of fence.
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Webassign Printed Access Card For Crauder/evans/noell's Functions And Change: A Modeling Approach To College Algebra, 6th Edition, Single-term
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