Concept explainers
To calculate: The oil leakage during the first hour.
Answer to Problem 63E
Theoil leakage during the first hour is
Explanation of Solution
Given:
The function is
Calculation:
The integral function is,
Substitute
The region lies between
Let
Differentiate both sides of the Equation (2).
Substitute 0 for t in Equation (2) and obtain the lower limit of u.
Substitute 60 for t in Equation (2) and obtain the upper limit of u.
Express the given integral in terms of u.
Substitute u for
Integrate Equation (3).
Hence, the oil leakage during the first hour is
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning