**Mathematic Models** **Question 5, 3.4.9** **Problem:** Farmer Ed has 8,000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed? **Diagram:** - The rectangular plot is shown with the length along the river unfenced. - The sides perpendicular to the river are labeled as \(x\). - The length parallel to the river is labeled as \(8,000 - 2x\). **Question:** The largest area that can be enclosed is \(\_\_\_\_) square meters.

Calculus: Early Transcendentals
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Author:James Stewart
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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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**Mathematic Models**

**Question 5, 3.4.9**

**Problem:**
Farmer Ed has 8,000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?

**Diagram:**
- The rectangular plot is shown with the length along the river unfenced.
- The sides perpendicular to the river are labeled as \(x\).
- The length parallel to the river is labeled as \(8,000 - 2x\).

**Question:**
The largest area that can be enclosed is \(\_\_\_\_) square meters.
Transcribed Image Text:**Mathematic Models** **Question 5, 3.4.9** **Problem:** Farmer Ed has 8,000 meters of fencing and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed? **Diagram:** - The rectangular plot is shown with the length along the river unfenced. - The sides perpendicular to the river are labeled as \(x\). - The length parallel to the river is labeled as \(8,000 - 2x\). **Question:** The largest area that can be enclosed is \(\_\_\_\_) square meters.
Expert Solution
Step 1

Topic- Application of derivatives

We are given,

Length of fencing available=8000 meters

 

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