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A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has in storage. This means he only needs to enclose three sides of the region (see picture below). y X A x (A) Find Area of the enclosed region as a function of the width of the region, x. (Submit your answer in factored form) A (x) = (B) What is the maximum area the farmer can enclose? Number ft² (C) What dimension should be used to create the pen of maximum area? = Number ft ft y = Number

A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has in storage. This means he only needs to enclose three sides of the region (see picture below). y X A x (A) Find Area of the enclosed region as a function of the width of the region, x. (Submit your answer in factored form) A (x) = (B) What is the maximum area the farmer can enclose? Number ft² (C) What dimension should be used to create the pen of maximum area? = Number ft ft y = Number

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 plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has in storage. This means he only needs to enclose three sides of the region (see picture below). y 4 X A (A) Find Area of the enclosed region as a function of the width of the region, x. (Submit your answer in factored form) A (x) = (B) What is the maximum area the farmer can enclose? Number ft² (C) What dimension should be used to create the pen of maximum area? x = Number ft ft y = Number X
Transcribed Image Text:A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has in storage. This means he only needs to enclose three sides of the region (see picture below). y 4 X A (A) Find Area of the enclosed region as a function of the width of the region, x. (Submit your answer in factored form) A (x) = (B) What is the maximum area the farmer can enclose? Number ft² (C) What dimension should be used to create the pen of maximum area? x = Number ft ft y = Number X
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