A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 2000 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions? Once you have found the maximum area, what is the length of the shorter side of the rectangular plot, and what is the length of the longer side of the rectangular plot?

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 rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 2000 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?

Once you have found the maximum area, what is the length of the shorter side of the rectangular plot, and what is the length of the longer side of the rectangular plot?

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