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 temperatureT0 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 10minutes. (Round to the nearest integer as needed.)

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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

T₀is 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.

(Round to the nearest integer as needed.)

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