Concept explainers
To calculate:
The area of the region made by the following two curves:
Answer to Problem 23E
The area of the region enclosed by two curves is
Explanation of Solution
Given information:
Formula Used:
The formula for the area of the polar region:
Calculation:
The equation of the region is
So, the curves are plotted as below:
Now, need to find the interval in which the inner loop exists:
From the figure, the two curves is symmetric about
The area of given equation of the polar region is:
The formula for the area of the polar region:
Chapter H.2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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