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Concept explainers
7. A rectangle has one corner in quadrant I on the graph of , another at the origin, a third on the positive , and the fourth on the positive . See the figure below.
Express the area A of the rectangle as a function of x.
What is the domain of A?
Graph . For what value of x is A largest?
![Check Mark](/static/check-mark.png)
To find:
a. To express the area of the rectangle as a function of .
Answer to Problem 7AYU
Solution:
a.
Explanation of Solution
Given:
Calculation:
a. To express the area of the rectangle as a function of :
Area of the given rectangle .
Since the rectangle has one corner on quadrant I on the graph of .
Substitute for . Then
.
![Check Mark](/static/check-mark.png)
To find:
b. To find the domain of .
Answer to Problem 7AYU
Solution:
b.
Explanation of Solution
Given:
Calculation:
b. To find the domain of :
Since, .
The domain of .
![Check Mark](/static/check-mark.png)
To find:
c. To graph and to find the value of is largest.
Answer to Problem 7AYU
Solution:
c..
Explanation of Solution
Given:
Calculation:
c. To graph and to find the value of is largest:
From the graph, we can see that, is largest when .
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus and Its Applications (11th 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
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