Dialysis treatment removes urea and other waste products from a patient’s 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

where r is the rate of flow of blood through the dialyzer (in mL/min), V is the volume of the patient’s blood (in mL), and C0 is the amount of urea in the blood (in mg) at time t = 0. Evaluate the integral  and interpret it.

Transcribed Image Text:

-rt/V be u(t) ou(t)