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Thermic Effect of Food As we saw in the last section, the

Chapter 5, Problem 54A

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QUESTION:

Thermic Effect of Food As we saw in the last section, the metabolic rate after a person eats 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 and can be described for a particular individual as

\(F(t)=-10.28+175.9 t e^{-t / 1.3}\),

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. Find the time after the meal when the thermic effect of the food is maximized. Source: American Journal of Clinical Nutrition.

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QUESTION:

Thermic Effect of Food As we saw in the last section, the metabolic rate after a person eats 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 and can be described for a particular individual as

\(F(t)=-10.28+175.9 t e^{-t / 1.3}\),

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. Find the time after the meal when the thermic effect of the food is maximized. Source: American Journal of Clinical Nutrition.

ANSWER:

Step 1 of 3

The thermic effect of food described for a particular individual as a function of time is modelled as:

\(F(t)=-10.28+175.9 t e^{\frac{-t}{1.3}} \ldots \ldots . .(1)\)

We have to find the time at which the thermic effect of the food is maximized. 

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