. A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the other three sides of the​ pen, what dimensions maximize the area of the​ pen?   b. A rancher plans to make four identical and adjacent rectangular pens against a​ barn, each with an area of 400 m2 ​(see figure). What are the dimensions of each pen that minimize the amount of fence that must be​ used? Barn 400 400 400 400

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. A rectangular pen is built with one side against a barn. If
2300
m of fencing are used for the other three sides of the​ pen, what dimensions maximize the area of the​ pen?
 
b. A rancher plans to make four identical and adjacent rectangular pens against a​ barn, each with an area of
400 m2
​(see figure). What are the dimensions of each pen that minimize the amount of fence that must be​ used?
Barn
400
400
400
400
 
 
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