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(t)=0.015t2+0.33t+97.2\displaystyle {T}{\left({t}\right)}=-{0.015}{t}^{{2}}+{0.33}{t}+{97.2}.

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: