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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

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
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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