Apork roast22 was taken out of a hardwood smoker when its internal temperature had reached 180◦f and it was allowed to rest in a 75◦f house for 20 minutes after which its internal temperature had dropped to 170◦f. assuming that the temperature of the roast follows newton’s law of cooling (equation 6.6),
(a) express the temperature t (in ◦f) as a function of time t (in minutes). (b) find the time at which the roast would have dropped to 140◦f had it not been carved and eaten.