Problem 103E

Dialysis treatment removes urea and other waste products from a patients blood by diverting some of the bloodflow externally through a machine called a dialyzer. The rate at which urea is removed from the blood in mg/min is often well described by the equation u(t)=rvC0ert/V where r is the rate of flow of blood through the dialyzer in mL/min, V is the volume of the patients blood in mL, and C0 is the amount of urea in the blood in mg at time t=0. Evaluate the integral 030u(t)dt and interpret it.

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