11. According to a formula discovered by the French physician Poiceulle, the velocity (in cm/sec) of blood r centimeters from the central axis of an artery is given by the function v(r) = a(R²-²) where a is a positive constant, and R is the radius of the artery (also constant). (a) Find d AW, S 01 (b) Is de positive or negative on [0, R]? Explain how the sign of de tells you that the maximum velocity happens at the center of the artery (where r = 0).
11. According to a formula discovered by the French physician Poiceulle, the velocity (in cm/sec) of blood r centimeters from the central axis of an artery is given by the function v(r) = a(R²-²) where a is a positive constant, and R is the radius of the artery (also constant). (a) Find d AW, S 01 (b) Is de positive or negative on [0, R]? Explain how the sign of de tells you that the maximum velocity happens at the center of the artery (where r = 0).
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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![11. According to a formula discovered by the French physician Poiceulle, the velocity
(in cm/sec) of blood r centimeters from the central axis of an artery is given by the
function
v(r) = a(R²-r²)
where a is a positive constant, and R is the radius of the artery (also constant).
(a) Find d
Stal edmon avisou-nos ow) to ne od
oca
(b) Is de positive or negative on [0, R]? Explain how the sign of de tells you that
the maximum velocity happens at the center of the artery (where r = 0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd309db8b-57e0-4182-b683-2059130ecfe2%2F231c4eee-b09d-4315-8d4c-a0c0bf413ad3%2Fka3t3g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. According to a formula discovered by the French physician Poiceulle, the velocity
(in cm/sec) of blood r centimeters from the central axis of an artery is given by the
function
v(r) = a(R²-r²)
where a is a positive constant, and R is the radius of the artery (also constant).
(a) Find d
Stal edmon avisou-nos ow) to ne od
oca
(b) Is de positive or negative on [0, R]? Explain how the sign of de tells you that
the maximum velocity happens at the center of the artery (where r = 0).
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