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 To is f(t) = To + Ce-kt, where C and k are constants. A cup of coffee with temperature 155°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 103°F. Use Newton's Law of Cooling to find the coffee's temperature after 10 minutes. After 10 minutes the coffee will have a temperature of (Round to the nearest integer as needed.) *** °F.
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 To is f(t) = To + Ce-kt, where C and k are constants. A cup of coffee with temperature 155°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature of the coffee is 103°F. Use Newton's Law of Cooling to find the coffee's temperature after 10 minutes. After 10 minutes the coffee will have a temperature of (Round to the nearest integer as needed.) *** °F.
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
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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 To is f(t)= To + Ce-kt, where C and k are constants.
A cup of coffee with temperature 155°F is placed in a freezer with temperature 0°F. After 5 minutes, the temperature
of the coffee is 103°F. Use Newton's Law of Cooling to find the coffee's temperature after 10 minutes.
After 10 minutes the coffee will have a temperature of F.
(Round to the nearest integer as needed.)
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