Question

A patient suffers from a short fever. Their body temperature is normally 37.40C but during
the fever it is given by the function
y(t) = -0:01t^2 + 0:3e^t + 37.4, (t ≥ 0)
where t is the number of hours since the onset of the fever.
ii) What is the average rate of change of temperature y(t) at t = 2 and t = 6?
iii) How fast is the body temperature changing after 3 hours?