Question

Refer to the following: By analyzing available empirical data, it has been determined that the body temperature of a species fluctuates according to the model $$ T(t)=37.10+1.40 \sin \left(\frac{\pi}{24} t\right) \cos \left(\frac{\pi}{24} t\right) \quad 0 \leq t \leq 24 $$ where $T$ represents temperature in degrees Celsius and $t$ represents time (in hours) measured from 12: 00 A.M. (midnight). Find the time(s) of day the body temperature is $37.28^{\circ} \mathrm{C} .$ Round to the nearest hour.

          Refer to the following:
By analyzing available empirical data, it has been determined that the body temperature of a species fluctuates according to the model
$$
T(t)=37.10+1.40 \sin \left(\frac{\pi}{24} t\right) \cos \left(\frac{\pi}{24} t\right) \quad 0 \leq t \leq 24
$$
where $T$ represents temperature in degrees Celsius and $t$ represents time (in hours) measured from 12: 00 A.M. (midnight).
Find the time(s) of day the body temperature is $37.28^{\circ} \mathrm{C} .$ Round to the nearest hour.

Added by Susan S.

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