The velocity V (in centimeters per second) of blood in an artery at a distance z cm from the center of the artery can be modeled by the function V S(x) = 500(0.04 -2²) for 0SzS0.2. a. Find a formula for the inverse function: b. Write the domain for the inverse function in interval notation. c. Interpret what the inverse function is used for. O The inverse function determines the distance from the center of the artery given the velocity of the blood. O The inverse function determines the velocity of the blood given the distance from the center of the artery. d. Find the distance from the center of an artery with a velocity of 19 cm/sec (round to 2 decimal places). cm

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 velocity V (in centimeters per second) of blood in an artery at a distance z cm from the center of the
artery can be modeled by the function V = f(x) - 500(0.04 - ) for 0 <r S 0.2.
%3D
a. Find a formula for the inverse function:
-(V)=
b. Write the domain for the inverse function in interval notation.
c. Interpret what the inverse function is used for.
O The inverse function determines the distance from the center of the artery given the velocity of the
blood.
O The inverse function determines the velocity of the blood given the distance from the center of the
artery.
d. Find the distance from the center of an artery with a
velocity of 19 cm/sec (round to 2 decimal places).
cm
Transcribed Image Text:The velocity V (in centimeters per second) of blood in an artery at a distance z cm from the center of the artery can be modeled by the function V = f(x) - 500(0.04 - ) for 0 <r S 0.2. %3D a. Find a formula for the inverse function: -(V)= b. Write the domain for the inverse function in interval notation. c. Interpret what the inverse function is used for. O The inverse function determines the distance from the center of the artery given the velocity of the blood. O The inverse function determines the velocity of the blood given the distance from the center of the artery. d. Find the distance from the center of an artery with a velocity of 19 cm/sec (round to 2 decimal places). cm
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