You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and will use the river as one side of the pen. You want to maximize the area of the pen using all of the available fencing. Use the picture below for this problem. 1 W The area of the pen as a function of its length, 1, is: A(1) ft² = For what value of I will A'(1) = 0? 1 ft The area of the pen as a function of its width, w, is: A(w) = ft² For what value of w will A'(w) = 0? W = ft The maximum area of the pen is ft²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and will use
the river as one side of the pen. You want to maximize the area of the pen using all of the available fencing. Use
the picture below for this problem.
1
The area of the pen as a function of its length, 1, is:
A(1) =
ft²
=
W
For what value of I will A'(1) = 0?
1:
ft
=
The area of the pen as a function of its width, w, is:
A(w):
ft²
For what value of w will A'(w) = 0?
W
ft
The maximum area of the pen is ft2
Transcribed Image Text:You have 830 ft of fencing to make a pen for hogs. You have a river on one side of your property and will use the river as one side of the pen. You want to maximize the area of the pen using all of the available fencing. Use the picture below for this problem. 1 The area of the pen as a function of its length, 1, is: A(1) = ft² = W For what value of I will A'(1) = 0? 1: ft = The area of the pen as a function of its width, w, is: A(w): ft² For what value of w will A'(w) = 0? W ft The maximum area of the pen is ft2
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