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A rancher wants to enclose an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the total shortest length of fence that the rancher can use? Part 1: State the total length of fencing required for the project as a function of x and y, where x represents the width and y the length of the field. F(x, y) =

A rancher wants to enclose an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the total shortest length of fence that the rancher can use? Part 1: State the total length of fencing required for the project as a function of x and y, where x represents the width and y the length of the field. F(x, y) =

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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A rancher wants to enclose an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the total shortest length of fence that the rancher can use? Part 1: State the total length of fencing required for the project as a function of x and y, where x represents the width and y the length of the field. F(x, y) Part 2: State the area of the entire field as a function of x and y. Part 3: Find y as a function of x, using the given value of the area of the field. Part 4: Rewrite total length of fencing required as a function of x. Part 5: Find the derivative of total length of fencing required with respect to x. Part 6: Find x and y value that minimize the perimeter of the rectangular field and its perimeter.
Transcribed Image Text:A rancher wants to enclose an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. What is the total shortest length of fence that the rancher can use? Part 1: State the total length of fencing required for the project as a function of x and y, where x represents the width and y the length of the field. F(x, y) Part 2: State the area of the entire field as a function of x and y. Part 3: Find y as a function of x, using the given value of the area of the field. Part 4: Rewrite total length of fencing required as a function of x. Part 5: Find the derivative of total length of fencing required with respect to x. Part 6: Find x and y value that minimize the perimeter of the rectangular field and its perimeter.
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