Question: Integrals and Transcendental Functions

Suppose that a cup of soup cooled from to after 10 minutes in a room with a temperature of Use Newton’s Law of Cooling to answer the following questions.

a) How much longer would it take the cup of soup to cool to?

b) Instead of being left to stand in the room, the cup of soup is put in a freezer with a temperature of How long will it take the soup to cool from to?

Given the above problem, provide written responses to address the following points as precisely and thoroughly as possible.

A. Explain the problem in your own words.

B. What mathematical concepts learned in this module apply to this problem?

C. Explain the steps you must take to solve this problem.

D. What is the most difficult aspect of solving this problem?

E. Explain exactly what the answer means from a mathematical perspective.