Correction2: Would it hold to reason for c that since the limit of the temperature function is 48.6 as t approaches infinity that 48.6 must be the ambient temperature? Because I think I was massively overthinking this problem.
This would also make part D much easier...
This is a 4 part ordinary differential equation problem.
a.) You are a member of a CSI team that has discovered a dead body in a field. Upon discovery of the body you measure its temperature and find that it is 76.04058181\circF. 10 minutes later the temperature of the body is...