Concept explainers
The lower estimate and upper estimate for the total amount of oil that leaked out.
Answer to Problem 13E
The lower estimate for the total amount of oil leaked is 63.2L.
The upper estimate for the total amount of oil leaked is 70 L.
Explanation of Solution
Given:
The function r(t) is an decreasing function.
The number of intervals is
Each interval value is
Calculation:
The distance approximation
The expression to find the lower estimate for the total amount of oil leaked
Here, for the time
Substitute 5 for n in Equation (1).
Substitute 7.6L/h for
Therefore, the lower estimate for the total amount of oil leakage from tank is 63.2 L.
The expression to find the upper estimate for the total amount of oil leaked
Here, for the time
Substitute 5 for n in Equation (3).
Substitute 8.7L/h for
Therefore, the upper estimate for the total amount of oil leakage from tank is 70 L.
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