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Suppose that a rancher is build pens along a river so no fencing is needed along  the river but wants 3 sections as shown. Find the length y that will maximize the area if the rancher has 6,895 feet of fencing to use. (round-off to 1 decimals place.)

Suppose that a rancher is build pens along a river so no fencing is needed along  the river but wants 3 sections as shown. Find the length y that will maximize the area if the rancher has 6,895 feet of fencing to use. (round-off to 1 decimals place.)

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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Suppose that a rancher is build pens along a river so no fencing is needed along  the river but wants 3 sections as shown. Find the length y that will maximize the area if the rancher has 6,895 feet of fencing to use. (round-off to 1 decimals place.)


The image depicts a rectangular layout divided into three smaller sections of equal width. The top edge of the rectangle represents a "RIVER." The width of the entire rectangle is labeled as \( x \), and the height is labeled as \( y \). The river contributes to the top boundary of the diagram, while the rest of the figure appears to represent a fenced area divided into three sections by two vertical lines. This setup could illustrate a mathematical problem involving geometry or optimization, perhaps focusing on maximizing area with a fixed perimeter near a river.
Transcribed Image Text:The image depicts a rectangular layout divided into three smaller sections of equal width. The top edge of the rectangle represents a "RIVER." The width of the entire rectangle is labeled as \( x \), and the height is labeled as \( y \). The river contributes to the top boundary of the diagram, while the rest of the figure appears to represent a fenced area divided into three sections by two vertical lines. This setup could illustrate a mathematical problem involving geometry or optimization, perhaps focusing on maximizing area with a fixed perimeter near a river.
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