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Problem #9: (2 PULLIN [2 marks] 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. Show all of your work, including your final answer, on Crowdmark. (b) Use your Taylor approximation to estimate the body temperature at 3am. Show all of your work on Crowdmark and copy your final answer in the box below, 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 on Crowdmark