Concept explainers
i.
To determine the temperature above room temperature of an ingot of silver
i.
Answer to Problem 32E
Explanation of Solution
Given:
The temperature of an ingot of silver is
Concept Used:
Newton’s Law of Cooling If
Its solution , by the law of exponential change ,is
Where
Calculation:
Thetemperature of silver above room temperature :
Twenty minutes ago, the temperature of silver above room temperature :
Now, according to Newton’s law of cooling
Now ,considering current temperature of silver above room temperature as a initial temperature that is
Therefore,
ii.
To determine the temperature above room temperature of an ingot of silver
ii.
Answer to Problem 32E
The temperature above room temperature of an ingot of silver
Explanation of Solution
Given:
The temperature of an ingot of silver is
Concept Used:
Newton’s Law of Cooling
If
Its solution , by the law of exponential change ,is
Where
Calculation:
Since from part (a) ,
considering current temperature of silver above room temperature as a initial temperature that is
Let the temperature of silver above room temperature be
According to Newton’s law of cooling
Therefore, the temperature above room temperature of an ingot of silver
iii.
To determine the time when the silver be
iii.
Answer to Problem 32E
The time when the silver be
Explanation of Solution
Given:
The temperature of an ingot of silver is
Concept Used:
Newton’s Law of Cooling
If
Its solution , by the law of exponential change ,is
Where
Calculation:
It is given that the temperature of silver above room temperature is
considering current temperature of silver above room temperature as a initial temperature that is
According to Newton’s Law of cooling
Therefore, the time when the silver be
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd 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