Mathematics, 18.02.2020 17:38, kellimcollier896
When a foreign object lodged in the trachea (windpipe) forces a person to cough, the diaphragm thrusts upward causing an increase in pressure in the lungs. This is accompanied by a contraction of the trachea, making a narrower channel for the expelled air to flow through. For a given amount of air to escape in a fixed time, it must move faster through the narrower channel than the wider one. The greater the velocity of the airstream, the greater the force on the foreign object. X rays show that the radius of the circular tracheal tube contracts to about two-thirds of its normal radius during a cough. According to a mathematical model of coughing, the velocity v of the airstream is related to the radius of the trachea by the equation: v(r) = k (r0 - r)r2 1/2r0 less than r less than r0where k is the constant and r0 is the normal radius of the trachea. The restriction on r is due to the fact that the tracheal wall stiffens under pressure and a contraction greaterthan 1/2 r0 is prevented. A) Determine the value of r in the interval [1/2 r0,r0] at which v has an absolute maximum. How does this compare with the experimental evidence?B) What is the absolute maximum value of v on the interval?
Answers: 3
Mathematics, 21.06.2019 22:30, tdyson3p6xvtu
60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar. what is the probability that the applicant who gets the job plays drums or guitar?
Answers: 1
When a foreign object lodged in the trachea (windpipe) forces a person to cough, the diaphragm thrus...
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