A farmer has 600m of fencing to use for building a sheep pen in the shape of a semicircleon top of a rectangle. Find dimensions of the field which maximize thearea of the field (Q6): A farmer has 600m of fencing to use for building a sheep pen in the shape of a semicircleon top of a rectangle (Shown below). Find dimensions of the field which maximize thearea of the field.(17 marks)

The objective of this problem is to find the dimensions of a field, which is a combination of a…

Answered: (Q6): A farmer has 600m of fencing to…

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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Similar questions

A brick wall makes two legs of a right angle, one 32 feet long and the other 72 feet long. A contractor is told to add 304 feet of brick fencing to complete a rectangular fence. Determine the maximum possible enclosed area by finding the dimensions of the completed fence that will obtain this area.
The city park department is planning anenclosed play area in a new park. One side of the area will beagainst an existing building, with no fence needed there. Findthe dimensions of the maximum rectangular area that can bemade with 900 m of fence.
A dog park wants to enclose a rectangular plot of land that borders a lake and hence only requires fencing on three sides. If 160 yards of fence is available, determine the length and width of the fenced plot that will maximize the area.

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(Q6): A farmer has 600m of fencing to use for building a sheep pen in the shape of a semicircle on top of a rectangle (Shown below). Find dimensions of the field which maximize the area of the field. (17 marks)