anonymous
  • anonymous
HELP!!! when a person coughs, the trachea(windpipe contracts, allowing air to be expelled at max velocity. it can be shown that during a cough the velocity v of airflow is given by the function v=f(r)=kx^2(R-r) where r is the radius of the trachea in cm during a cough, R is the trachea's normal radius in cm, and k is a positive constant that depends on the length of the trachea. find the radius r for which the velocity of airflow is greatest.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Hey ask it in other greoups
anonymous
  • anonymous
which group??
anonymous
  • anonymous
this is a maths problem.

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anonymous
  • anonymous
science, biology,
anonymous
  • anonymous
oh!
anonymous
  • anonymous
sorry
anonymous
  • anonymous
i think u have to differentiate f(r) to have df(r)/dr, but i can't see what's ment by the "x" in f(r)?
anonymous
  • anonymous
sorry...thats "r". v=f(r)=kr^2(R-r)
anonymous
  • anonymous
aha, then: v=kr^2R-kr^2r, where k, R are constants dv/dr=2kRr-3kr^2 finding the maxima by equaling to zero 0=2kRr-3kr^2
anonymous
  • anonymous
any particular reason for finding the maxima??

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