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) = -0.02t^2 +0.4968 +98. a. When does the patient's temperature reach its maximum value
b. What is the patient's maximum temperature during illness

Step-by-step explanation:

Given that,

The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:

...(1)

(a) We need to find when does the patient's temperature reach its maximum value.

For maximum value.

Put dT(t)/dt = 0

(b) Put t = 12.42 in equation (1) :

Hence, this is the required solution.

step-by-step explanation:

infinity is the answer

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