According to a mathematical model of coughing, the velocity v, of the airstream is related to the radius r, of the trachea by the following equation: v(r) = k (r0 – r) r^2 where k and r0 are positive constants. 1.) Find the intervals of concavity and the inflection point for this function.

According to a mathematical model of coughing, the velocity v, of the airstream is related to the radius r, of the trachea by the following equation: v(r) = k (r0 – r) r^2 where k and r0 are positive constants. 1.) Find the intervals of concavity and the inflection point for this function.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

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According to a mathematical model of
coughing, the velocity v, of the airstream is
related to the radius r, of the trachea by the
following equation:
v(r) = k (r0 – r) r^2
where k and r0 are positive constants.
%3D
1.) Find the intervals of concavity and the
inflection point for this function.

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