Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature T0 is f(t)=T0+C e −kt, where C and k are constants. A cup of coffee with temperature 130°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 87°F. Use Newton's Law of Cooling to find the coffee's temperature after 10 minutes.
Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature T0 is f(t)=T0+C e −kt, where C and k are constants. A cup of coffee with temperature 130°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 87°F. Use Newton's Law of Cooling to find the coffee's temperature after 10 minutes.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature
T0 is f(t)=T0+C e −kt, where C and k are constants.
A cup of coffee with temperature 130°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 87°F.
Use Newton's Law of Cooling to find the coffee's temperature after 10
minutes.
Use Newton's Law of Cooling to find the coffee's temperature after 10
minutes.
(Round to the nearest integer as needed.)
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