Concept explainers
To find: The function that models the total area of the four pens and largest possible total area of the four pens.
Answer to Problem 72E
The function that models the total area of the four pens is equal to
Explanation of Solution
Given information:
A rancher with
Calculation:
Assume that the breadth of the rectangular region is equal to
The fence left is used to fence
Use the formula for the area of the rectangular region.
So, the area function of the rectangular region is given by
To graph a function
First press “ON” button on graphical calculator, press
The display will show the equation,
Now, press the
Figure (1)
As observed from the graph, the area function has maximum value equal to
Therefore, the function that models the total area of the four pens is equal to
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning