Concept explainers
The domain of the function
Answer to Problem 68E
The domain of
Explanation of Solution
Given:
The rectangle bounded by the x-axis and the semicircle
Formula used:
Area of rectangle
Calculation:
Consider the rectangle bounded by the x-axis and the semicircle
The following is the figure of the rectangle.
From the above figure,
Length of rectangle
Breadth of rectangle
Area of rectangle
Hence,
The function
That is,
In the interval
A cannot be negative and zero.
That is,
Hence, the domain of
Conclusion:
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- 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