The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the outside. The speed of the blood V, in millimeters per second (mm/sec), is given by the following formula, where Ris the radius of the blood vessel, r is the distance of the blood from the center of the vessel, and p, L, and v are physical constants related to pressure, length, and viscosity of the blood vessels, respectively. Assume that r is a constant as well as p. L, and v. Complete parts (a) and (b) below. V= 4Lv (R2-7) dV in terms of R and dR when L= 75 mm, p= 500, and v = 0.003. Select the correct answer below and fill in the answer box to complete your choice. a) Find the rate of change dV OA. dt dR dt dr OB. AP dt dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the outside. The speed of the blood V, in millimeters per second (mm/sec), is given by the following formula, where R is the radius of
the blood vessel, r is the distance of the blood from the center of the vessel, and p, L, and v are physical constants related to pressure, length, and viscosity of the blood vessels, respectively. Assume that ris a constant as well as
p, L, and v. Complete parts (a) and (b) below.
V=
(R² -P)
4Lv
■ 重
dV
dR
when L= 75 mm, p = 500, and v = 0.003. Select the correct answer below and fill in the answer box to complete your choice.
a) Find the rate of change
in terms of R and
dt
dt
dV
dR
O A.
dt
dt
dV
O B.
dt
dr
dt
Transcribed Image Text:The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the outside. The speed of the blood V, in millimeters per second (mm/sec), is given by the following formula, where R is the radius of the blood vessel, r is the distance of the blood from the center of the vessel, and p, L, and v are physical constants related to pressure, length, and viscosity of the blood vessels, respectively. Assume that ris a constant as well as p, L, and v. Complete parts (a) and (b) below. V= (R² -P) 4Lv ■ 重 dV dR when L= 75 mm, p = 500, and v = 0.003. Select the correct answer below and fill in the answer box to complete your choice. a) Find the rate of change in terms of R and dt dt dV dR O A. dt dt dV O B. dt dr dt
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