When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is proportional to the fourth power of the radius R of the blood yesselt: F = F(R) = kR, for some positive constant k If the blood vessel radius changes from Ro to Ro + AR such that its relative change is (where 0

College Algebra (MindTap Course List)
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Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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When blood filows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is proportional to the fourth power of the radius Rof the
blood vessel:
F = F(R) = kR',
for some positive constant k
If the blood vessel radius changes from Ro to Ro + AR such that its relative change is m (where 0 < p< 100); that is,
AR
100
then, using the differential of F, an approximation of the (true) relative change in the blood flux; that is
AF(Ro,AR)
F(R)
F(Ro+AR)–F(R)
F(Ro)
is
Hint: Notice that
AF(Ro,AR) = dF(Ro, AR) = F'(Ro) - AR
a.
b. 4p
C.
d.
100
e. None
f. p
P.
g.
100
Transcribed Image Text:When blood filows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is proportional to the fourth power of the radius Rof the blood vessel: F = F(R) = kR', for some positive constant k If the blood vessel radius changes from Ro to Ro + AR such that its relative change is m (where 0 < p< 100); that is, AR 100 then, using the differential of F, an approximation of the (true) relative change in the blood flux; that is AF(Ro,AR) F(R) F(Ro+AR)–F(R) F(Ro) is Hint: Notice that AF(Ro,AR) = dF(Ro, AR) = F'(Ro) - AR a. b. 4p C. d. 100 e. None f. p P. g. 100
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