Math  /  Calculus

Question11. [8.4/16 Points] DETAILS MY NOTES SCALCET9 5.5.091. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER described by the equation u(t)=rVc0ert/v,u(t)=\frac{r}{V} c_{0} e^{-r t / v}, where rr is the rate of flow of blood through the dialyzer (in mL/min\mathrm{mL} / \mathrm{min} ), VV is the volume of the patient's blood (in mL ), and C0C_{0} is the amount of urea in the blood (in mg ) at time t=0t=0. Evaluate the integral 055u(t)dt\int_{0}^{55} u(t) d t (in mg ). \square mg
Interpret your answer in the context of this problem. The integral is the amount blood treated by the dialyzer in the first 55 minutes of dialysis treatment. The integral is the amount of urea removed from the patient's blood in the first 55 minutes of dialysis treatment. The integral is the number of treatments a patient undergoes. The integral is the amount of urea removed from the patient's blood in one dialysis treatment. The integral is the number of times a patient's blood cycles through the dialyzer in the first 55 minutes of dialysis treatment. Need Help? Read It Watch it Submit Answer

Studdy Solution
Interpret the result. The integral represents the total amount of urea removed from the patient's blood in the first 55 minutes of dialysis treatment.
Thus, the correct interpretation is:
"The integral is the amount of urea removed from the patient's blood in the first 55 minutes of dialysis treatment."

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