The metabolic rate of a person who has just eaten a meal tends to go up and
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The metabolic rate of a person who has just eaten a meal tends to go up and then, after some time has passed, returns to a resting metabolic rate. This phenomenon is known as the thermic effect of food. Researchers have indicated that the thermic effect of food for one particular person is F(t) = -10.28 + 175.9te-t/1.3, where F(t) is the thermic effect of food (in kJ/hr) and t is the number of hours that have elapsed since eating a meal.
(a) Find F′(t).
(b) Determine where this function is increasing and where it is decreasing. Interpret your answers.
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