Concept explainers
To find: The temperature at which
Answer to Problem 61E
The temperature at which
Explanation of Solution
Given information:
The given formula is
Calculation:
For maximum density volume must be minimum.
Differentiate the given function with respect to
Using
The value of
The range of temperature where the given equation is valid is
Differentiate
Therefore, the function has a minimum at
So, the volume is minimum at this point, the density will be maximum.
Therefore, the temperature at which
Chapter 4 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