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A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. If the farmer has 40 meters of wire to use, what is the largest area that the farmer can enclose? Pen (You can click on the graphic to enlarge the image.) (a) Write the formula for the area A(x) of the pen as a function of x only ( Refer to the given picture ). A(x) = 2 square meters (b) The function A(x) has a critical point at E meters (c) What is the maximum area of the pen?

A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. If the farmer has 40 meters of wire to use, what is the largest area that the farmer can enclose? Pen (You can click on the graphic to enlarge the image.) (a) Write the formula for the area A(x) of the pen as a function of x only ( Refer to the given picture ). A(x) = 2 square meters (b) The function A(x) has a critical point at E meters (c) What is the maximum area of the pen?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. If the farmer has 40 meters of wire to use, what is the largest area that the farmer can enclose? pen (You can click on the graphic to enlarge the image.) (a) Write the formula for the area A(x) of the pen as a function of x only ( Refer to the given picture ). A(x) = 2 square meters (b) The function A(x) has a critical point at x = Σ meters (c) What is the maximum area of the pen?
Transcribed Image Text:A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. If the farmer has 40 meters of wire to use, what is the largest area that the farmer can enclose? pen (You can click on the graphic to enlarge the image.) (a) Write the formula for the area A(x) of the pen as a function of x only ( Refer to the given picture ). A(x) = 2 square meters (b) The function A(x) has a critical point at x = Σ meters (c) What is the maximum area of the pen?
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