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1 Nov 2021
Problem 14a
Page 499
Section 7.1: Modeling with Differential Equations
Chapter 7: Differential Equations
Textbook ExpertVerified Tutor
1 Nov 2021
Given information
As per the given question
- The room temperature is
and and temperature of coffee is 
.
Step-by-step explanation
Step 1.
- Because the room temperature is cooler than the temperature of coffee, removing the coffee from the heat source should allow it to cool fast. And by this concept coffee want to achieve equilibrium.
- As time passes, the temperature difference between the room and the coffee lessens, and the coffee approaches room temperature.
Therefore, the rate of cooling slows down over the temperature.
Therefore,
- At the beginning the coffee cools quickly.
- As time goes the rate decreases toward zero
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3a
- Problem 3b
- Problem 4a
- Problem 4b
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 5d
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 6d
- Problem 7a
- Problem 7b
- Problem 7c
- Problem 7d
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 8d
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 13d
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 15a
- Problem 15b
- Problem 15c