a)Examine both functions above and then rewrite the TEF as a single general function h(t) by replacing the numerical constants in f (t) and g (t) with the symbolic constants a and b. (b) Calculate the derivative h' (t). (c) Find the intervals of increase or decrease of h(t).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF which
is measured in kJ/h, researchers use the following functions:
S (t) = 175.9teīš
g (t) = 113.6te
where f (t) is the TEF for a lean person and g (t) is the TEF for an obese person respectively and t,
is the time in hours. Find the marimum value of the TEF for both individuals.
Solve the above, by answering the following questions:
a) Examine both functions above and then rewrite the TEF as a single generalfunction h(t) by
replacing the numerical constants in f (t) and g (t) with the symbolic constants a and b.
(b) Calculate the derivative h' (t).
(c) Find the intervals of increase or decrease of h(t).
(d) Using your answerfound in part (c) above, find the maximum TEF for a lean person and the
maximum TEF for an obese person respectively by substituting the appropriate values fora and b.
Transcribed Image Text:The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF which is measured in kJ/h, researchers use the following functions: S (t) = 175.9teīš g (t) = 113.6te where f (t) is the TEF for a lean person and g (t) is the TEF for an obese person respectively and t, is the time in hours. Find the marimum value of the TEF for both individuals. Solve the above, by answering the following questions: a) Examine both functions above and then rewrite the TEF as a single generalfunction h(t) by replacing the numerical constants in f (t) and g (t) with the symbolic constants a and b. (b) Calculate the derivative h' (t). (c) Find the intervals of increase or decrease of h(t). (d) Using your answerfound in part (c) above, find the maximum TEF for a lean person and the maximum TEF for an obese person respectively by substituting the appropriate values fora and b.
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