Please assist me with g (g) The graphs of the functions f (t) and g (t), for the domain t >0 are shown:100g(1)f(r)15i. Explain why the domain of the graphs are taken as t 20ii. In your own words give a plausible explanation as to why the marimum TEF is higher fora lean person than for an obese person and also, why the TEF function of a lean personapproaches zero at a faster rate than that of an obese person with respect to time. Finally,draw a conclusion of the efficiency of digestion for a lean person in comparison to that of anobese person. The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF whichis measured in kJ/h, researchers use the following functions:S (t) = 175.9te9 (t) = 113.6tewhere 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 general function h (t) byreplacing 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 answer found in part (c) above, find the maximum TEF for a lean person and themaximum TEF for an obese person respectively by substituting the appropriate values for a andb.(e) Calculate the derivative h" (t).(f) Using your answer found in part (e) above, find the inflection point for the graph of f (t) (for alean person) and for the graph of g(t) (for an obese person) respectively and interpret in yourown words the physical meaning of this term.

The rate of change of the value of a function at a point is equal to the slope of the tangent to the…

Answered: (g) The graphs of the functions f (t)…

Math

Calculus

(g) The graphs of the functions f (t) and g (t), for the domain t 2 0 are shown:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.2: Transformations Of Quadratic Functions

Problem 50PFA

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Question

Please assist me with g

(g) The graphs of the functions f (t) and g (t), for the domain t >0 are shown:
100
g(1)
f(r)
15
i. Explain why the domain of the graphs are taken as t 20
ii. In your own words give a plausible explanation as to why the marimum TEF is higher for
a lean person than for an obese person and also, why the TEF function of a lean person
approaches zero at a faster rate than that of an obese person with respect to time. Finally,
draw a conclusion of the efficiency of digestion for a lean person in comparison to that of an
obese person.

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) = 175.9te
9 (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 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).
(d) Using your answer found 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 for a and
b.
(e) Calculate the derivative h" (t).
(f) Using your answer found in part (e) above, find the inflection point for the graph of f (t) (for a
lean person) and for the graph of g(t) (for an obese person) respectively and interpret in your
own words the physical meaning of this term.

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