To calculate: The area of the region
Answer to Problem 11RE
The area of the region is
Explanation of Solution
Given information:
Calculation:
To find the area of the region which is enclosed by the lines
The sketch of these graphs will help to more easily spot a given problem.
Let’s sketch the graphs into Desmos. Further by entering the code, which see in the red rectangle below, mark the required region with the color.
By observing the given picture notice that our area is bounded above with the line
The upper limit of integration it is obviously determined by the line
And lower limit of integration will be at
Because it is only value that satisfies equality
Now set the limits of integration, area of the region is represented as
To solve previously integral use the Power formula and Trigonometric formula and simply continue the calculation:
Therefore, the area of the region is equal
Chapter 7 Solutions
AP CALCULUS TEST PREP-WORKBOOK
- 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