Question: Normal human body temperature fluctuates with a rhythm tied to our sleep cycle. If H(t) is body temperature in degrees Celsius at time t in

Normal human body temperature fluctuates with a rhythm tied to our sleep cycle. If H(t) is body temperature in degrees Celsius at time t in hours since 9 am, then H(t) may be modeled by

H(t) = 36.8+ 0.6 sin (12).

(a) Calculate H'(t) and give units.
(b) Calculate H'(4) and H'(12), then interpret the meaning of your answers in everyday terms.

H(t) = 36.8+ 0.6 sin (12).

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