Purchase Solution

# Newton's Law of Cooling : Average Temperature

Not what you're looking for?

If a cup of coffee has temperature 95 degrees Celsius in a room where the temperature is 20 degrees Celsius, then according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t)=20+75e^(-t/50). What is the average temperature of the coffee during the first half hour?

##### Solution Summary

Newton's Law of Cooling is applied to finding an average temperature. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

##### Solution Preview

The final temperature of the coffee is 20 + 75 exp(-30/50) = 61.161 C
The rate of cooling is dT(t)/dt= -75/50exp(-t/50) The change in temperature of the ...

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.