A hot drink is taken outside on a cold winter day when the air temperature is 5C.
Question:
A hot drink is taken outside on a cold winter day when the air temperature is −5°C. According to a principle of physics called Newton’s law of cooling, the temperature T (in degrees Celsius) of the drink t minutes after being taken outside is given by a function of the form
where A and k are constants. Suppose the temperature of the drink is 80°C when it is taken outside and 20 minutes later is 25°C.
a. Use this information to determine A and k.
b. Sketch the graph of the temperature function T(t). What happens to the temperature as t increases indefinitely (t → + ∞?
c. What will the temperature be after 30 minutes?
d. When will the temperature reach 0°C?
Step by Step Answer:
Calculus For Business, Economics And The Social And Life Sciences
ISBN: 9780073532387
11th Brief Edition
Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price