Hello everyone! I am new here and I am in my first year of calculus in college. I am having trouble on a pretty difficult question that I have spent hours trying to understand, but I just canít get it. I have asked several tutors and they canít figure it out! So I am hoping you guys can help me get an answer here or at least some direction. I am getting really frustrated!
The question is:
A potato is put into a hot oven, maintained at a constant temperature of 200 degrees C. Suppose that at time t=30 minutes, the temperature of the potato is 120 degrees C and is increasing at a constant rate of 2 degrees C/minute. Newtonís Law of Cooling (or in this case, warming) implies that the temperature of the potato at the time t will be given by the following function:
T(t):200 - ae^(-bt)
(ae is raised to the -bt power)
Find a and b.