Question in pic

:9: Circadian rhythms are the daily fluctuations in bodily functions driven by the light/dark cycle of the Earth, including variations in body temperature. Suppose human body temperature (in C) can be roughly modelled by the function B(t) = 0.5 cos(0.2t) + 36 where t is measured in hours and t = 0 corresponds to 12am (midnight). (a) Construct a degree 2 Taylor approximation for B(t) at a = 0. (b) Use your Taylor approximation to estimate the body temperature at 3am. rounding to 3 decimal places if rounding is required. (c) True or False: This Taylor approximation could be used to produce a reasonable estimate of the body temperature at 3pm. Select one choice below and justify your selection with a full sentence