Concept explainers
To find the average temperature of the coffee during the first half hour.
Answer to Problem 16E
The average temperature of the coffee during the first half hour is
Explanation of Solution
Given information: consider the function
Calculation:
To find the average temperature of the coffee during the first half hour, we have
Find the average value of the function:
On the interval
To solve this integral, we put that
If
If
Now, find theaveragevalue of function
Thus the average temperature of the coffee during the first half hour is
Chapter 6 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