Newton's law of cooling says that the rate at which a body cools is proportional to the difference in temperature between the body and an environment into which it is introduced. This leads to an equation where the temperature f(t) of the body at time t after being introduced into an environment having constant temperature To is where C and k are constants. Find the temperature of an object when t=9 if To = 17, C=7 and f(t)= To + Ce k=0.6. - kt The temperature of the object is (Round to two decimal places as needed.)
Newton's law of cooling says that the rate at which a body cools is proportional to the difference in temperature between the body and an environment into which it is introduced. This leads to an equation where the temperature f(t) of the body at time t after being introduced into an environment having constant temperature To is where C and k are constants. Find the temperature of an object when t=9 if To = 17, C=7 and f(t)= To + Ce k=0.6. - kt The temperature of the object is (Round to two decimal places as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Newton's law of cooling says that the rate at which a body cools is proportional to the difference in temperature
between the body and an environment into which it is introduced. This leads to an equation where the temperature
f(t) of the body at time t after being introduced into an environment having constant temperature To is
where C and k are constants. Find the temperature of an object when t=9 if To = 17, C = 7 and
f(t)= To + Ce
k=0.6.
- kt
The temperature of the object is
(Round to two decimal places as needed.)
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