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) = 175.9teš 9 (t) = 113.6te where ƒ (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).
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
Can I get confirmation if my question b and c is correct if not what is the correction need to be made. I feel I am missing quite a bit from c answer.
![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 fora lean person and the
maximum TEF for an obese person respectively by substituting the appropriate values fora and b.
(e) Calculate the derivative h" (t).
(f) Using your answerfound 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.|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cb71868-6f58-4dcf-8038-c59a628909aa%2Fe36eded1-eb60-46de-9a9f-a22d8c2d3618%2Fvgk5qh_processed.png&w=3840&q=75)
![1.a) f(t) =175,9 te s
= atb-t
%3D
- /13.6 te
= 113:6+(e (te) *
= atb-t
gereral
funchion
is hl4)=atb-/
b) h 't) = d (atb-t)
elt
= ab -t d
dt
9.
= ab -t -atb-1 (Inb)
h= abt (1-tInb)
; derivitive of funchion a: bilE) = abt (1-tHnb)
c) n'lt) =CO
abit (l-Hnb)=0
1-Hnb =0
In.
* The funchion is imcreasing in The interval (-e ; hs
dee rasing in
the
inkral
and
In)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cb71868-6f58-4dcf-8038-c59a628909aa%2Fe36eded1-eb60-46de-9a9f-a22d8c2d3618%2Fbcry662_processed.png&w=3840&q=75)
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