As blood moves through a vein or artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure below). For an artery with radius 0.5 cm, v (in cm/s) is given as a function of r (in cm) by v = g(r) = 18,500(0.25 - 2). (a) Find g-1. 9(v) = What does g1 represent? O g1 represents the velocity of the blood in the vein or artery at time t. O g1 represents the velocity of the blood in the vein or artery with radius r. O g-1 represents the length of the vein or artery that contains blood with velocity v. O g represents the radial distance from the center of the vein or artery that contains blood with velocity v. -1 O g represents the amount of blood passing through the vein or artery in time t. (b) Find g(45). (Round your answer to three decimal places.) 9(45) = What does your answer represent? O It represents the velocity of the blood in the vein or artery at time 45 s. O It represents the velocity of the blood in the vein or artery with radius 45 cm. O It represents the length of the vein or artery that contains blood with velocity 45 cm/s. O It represents the radial distance from the center of the vein or artery that contains blood with velocity 45 cm/s. O It represents the amount of blood passing through the vein or artery in 45 s.
As blood moves through a vein or artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure below). For an artery with radius 0.5 cm, v (in cm/s) is given as a function of r (in cm) by v = g(r) = 18,500(0.25 - 2). (a) Find g-1. 9(v) = What does g1 represent? O g1 represents the velocity of the blood in the vein or artery at time t. O g1 represents the velocity of the blood in the vein or artery with radius r. O g-1 represents the length of the vein or artery that contains blood with velocity v. O g represents the radial distance from the center of the vein or artery that contains blood with velocity v. -1 O g represents the amount of blood passing through the vein or artery in time t. (b) Find g(45). (Round your answer to three decimal places.) 9(45) = What does your answer represent? O It represents the velocity of the blood in the vein or artery at time 45 s. O It represents the velocity of the blood in the vein or artery with radius 45 cm. O It represents the length of the vein or artery that contains blood with velocity 45 cm/s. O It represents the radial distance from the center of the vein or artery that contains blood with velocity 45 cm/s. O It represents the amount of blood passing through the vein or artery in 45 s.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:As blood moves through a vein or artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases (see the figure below). For an artery with radius
0.5 cm, v (in cm/s) is given as a function ofr (in cm) by
v = g(r) = 18,500(0.25 – 2).
(a) Find g¬1.
g¬1(v) =
1
What does g¯ represent?
g1 represents the velocity of the blood in the vein or artery at time t.
O g-l represents the velocity of the blood in the vein or artery with radius r.
O g-l represents the length of the vein or artery that contains blood with velocity v.
O g-l represents the radial distance from the center of the vein or artery that contains blood with velocity v.
O g¯l represents the amount of blood passing through the vein or artery in time t.
(b) Find g(45). (Round your answer to three decimal places.)
g-1(45) =
What does your answer represent?
O It represents the velocity of the blood in the vein or artery at time 45 s.
It represents the velocity of the blood in the vein or artery with radius 45 cm.
It represents the length of the vein or artery that contains blood with velocity 45 cm/s.
represents the radial distance from the center of the vein or artery that contains blood with velocity 45 cm/s.
O It represents the amount of blood passing through the vein or artery in 45 s.
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