Posted by Matt on .
Please help me on this calculus question. I am getting the wrong diff. equation and so my answers to the remaining parts are wrong.
A thermometer reading 85 degress outside is brought into a room with a constant temperature of 72 degrees. The rate of change, dT/dt is directly proportional to the difference between the temperatures.
A. Write the differential equation
B. Solve the diff. equation that you wrote subject to the fact that when t=0, the thermometer was 85 degrees
C. In 2 minutes the temperature is 83 degrees. Find K (proportionality constant)
D. How long till the temperature drops to 75 degrees