The velocity, in centimeters per second, of a blood molecule flowing through a capillary of radius 0.008 cm is given by the formula v(r) = 6.4 x 10-8 -0.002,². The distance from the molecule to the center of the capillary is given by r. Find the rate of change of velocity with respect tor when r = 0.004 cm. (Use decimal notation. Give your answer to six decimal places.) The rate of change is 1/s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The velocity, in centimeters per second, of a blood molecule flowing through a capillary of radius 0.008 cm is given by the
formula v(r) = 6.4 x 10-8 – 0.002r. The distance from the molecule to the center of the capillary is given by r. Find the rate of
change of velocity with respect tor when r = 0.004 cm.
(Use decimal notation. Give your answer to six decimal places.)
The rate of change is
1/s
LAKI
Transcribed Image Text:The velocity, in centimeters per second, of a blood molecule flowing through a capillary of radius 0.008 cm is given by the formula v(r) = 6.4 x 10-8 – 0.002r. The distance from the molecule to the center of the capillary is given by r. Find the rate of change of velocity with respect tor when r = 0.004 cm. (Use decimal notation. Give your answer to six decimal places.) The rate of change is 1/s LAKI
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