To find: To find the total area of all the semicircles.
Answer to Problem 51E
The total area of all the semicircles is
Explanation of Solution
Given:
The area of semicircle is
Calculation:
Number of semicircles in the first row is
Total area occupied by the semicircle in the first row us
Total area occupied by the semicircle in the second row us
Total area occupied by the semicircle in the
Sum of area of the entire semicircle is
If the sequence of partial sum has a limit as
Initial term is
Chapter 9 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