Question 824799: Solve the problem.
A thermometer reading 9°C is brought into a room with a constant temperature of 30°C. If the thermometer reads 15°C after 3 minutes, what will it read after being in the room for 6 minutes? Assume the cooling follows Newton's Law of Cooling: U = T + (Uo - T)e^kt. (Round your answer to two decimal places.)
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website!  where
 is the reading at time  minutes since the thermometer enters a new temperature zone,
 in degrees Celsius, and
 is the true temperature.
After 3 minutes
 is the time the thermometer has been in the room, in minutes,
 is the reading at  in degrees Celsius, and
 is the true temperature of the room.
 , so
(You can calculate this  number to use later, if you like.
Your calculator will hold enough digits in its memory to make your rounded final answer accurate.
If you write the value down, to re-enter it into the calculator later, make sure to write down enough digits.
I trust my calculator and my ability to use it, but prefer not to calculate at this point).
For what we want to calculate
 is the time the thermometer has been in the room, in minutes,
is the reading at in degrees Celsius, and
is the true temperature of the room.
 (rounded to 2 decimal places)
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