A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by: T=0.018t2+0.378t+97.4\displaystyle {T}=-{0.018}{t}^{{2}}+{0.378}{t}+{97.4}.

Use your calculator to answer the following questions. Round all answers to 1 decimal place.

When does the patient's temperature reach it maximum value?  Answer: After

What is the patient's maximum temperature during the illness?  Answer: