To find: The amount of water four days later with the help of midpoint rule.
Answer to Problem 68E
The amount of water four days later with the help of midpoint rule is
Explanation of Solution
Given information: Water flows into and out of a storage tank. A graph of rate of change
Calculation:
The change in amount of water in four days is equal to the integral
Simplify the integral with the help of midpoint rule with
The amount of water after four days is equal to the value of integral added to the amount of water at
So, the amount of water four days later is equal to
Therefore, the amount of water four days later with the help of midpoint rule is equal to
Chapter 5 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