a.
Explain to approximate the force against the end of the tank by a Reimann sum.
a.
Answer to Problem 13E
Explanation of Solution
Given information: The vertical end of a tank containing water weighing
Shape- semicircle.
Calculation:
The force of the water against the end of the tank can be approximated by diving the height into k partitions and evaluating the Riemann sum,
Hence,
b.
To find the force as an integral and evaluate it.
b.
Answer to Problem 13E
The required solution is 1123.2.
Explanation of Solution
Given information: The vertical end of a tank containing water weighing
Shape- semicircle.
Calculation:
As per the given problem,
Which by taking the limit as
Hence, the required solution is 1123.2.
Chapter 8 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus & Its Applications (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd 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