(g) Using the solution of this differential equation, the excess hormone concentration is given by
y(t) = M(1 − e−kt).
In terms of Aand k, what value does the excess hormone concentration approach in the long run?
mg/L
(h) After doing some tests, the patient's velocity constant of elimination is found to be 0.026 hour−1. The doctor plans to administer the infusion for 50 hours and wants to raise the excess hormone concentration to 4.25 mg/L at that time.
What infusion rate must the doctor choose to reach this target?
0.152 mg/L/hr
At this infusion rate, what will the excess hormone concentration be at the half-way time?
mg/L
At this infusion rate, how long will it take for the excess hormone concentration to reach half of the target level?
hours