According to Newton’s law of cooling, if an object at temperature T is immersed in a medium having t


Question: According to Newton’s law of cooling, if an object at temperature T is immersed in a medium having the constant temperature M, then the rate of change of T is proportional to the difference of temperature TM. This gives the differential equation.

\[\frac{dT}{dt}=k\left( M-T \right)\]

(a) Solve the differential equation for T

(b) A thermometer reading 100o is placed in a medium having a constant temperature 70o. After 6 minutes, the temperature reads 80o. What is the temperature after 20 minutes?

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Solution: The answer consists of 2 pages
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