To find: The area of the region enclosed by the lines and the curves.
Answer to Problem 14RE
The area of the region enclosed by the lines and the curves is
Explanation of Solution
Given information:
Calculation:
Let's graph the given area in Desmos and draw some conclusions based on it.
From the graph, it is seen that the area is enclosed above by the line
Demonstrate to get the
The point of intersection is found by equating the given equations to get,
Since, there is no simple method to solve the above equation using the Wolfram Alpha.
By entering the equation to get the required values,
Numerical solutions
The area of the given region is,
Because the area is symmetric with respect to the
Using the trigonometric formula and the power formula, let's proceed with the calculation:
Therefore, the area of the region enclosed by the lines and the curves is
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