3 Nov 2021
Problem 15a
Page 528
Section 7.4: Exponential Growth and Decay
Chapter 7: Differential Equations
Textbook ExpertVerified Tutor
3 Nov 2021
Given information
Given that the initial temperature of the cold drink when taken out of the refrigerator and the final temperature of the cold drink after minutes becames in a room.
Need to calculate the temperature of the drink after minutes.
Step-by-step explanation
Step 1.
Given the initial temperature of the cold drink
Final temperature became
Room temperature is
Examine Newton's law of Cooling
Separate the variables and integrate
Let be a variable
Therefore,
Put in Newton's law of cooling, then the equation of cooling becomes