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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 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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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