(a) Using Newton's Law of Cooling, 
, we have 
where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get
. Integrate both sides to get 
.
Since
, we solve for C:
So we get
. Use T(30) = 150 to solve for k:
So
But choose Positive because T > 75. Temp of turkey can't go under.
(b)
Dogs of the AMS.
Separate by dividing both sides by T - 75 to get
Since
So we get
So
But choose Positive because T > 75. Temp of turkey can't go under.
(b)
Dogs of the AMS.