PLEASE HELP ://
Medication in the Bloodstream:
The function C(t)= 5t/(0.01t+3.3) describes the concentration of a drug in the bloodstream over time. In this case, the medication was taken orally. C is measured in micrograms per milliliter and t is measured in minutes.
a.Sketch a graph of the function over the first two hours after the dose is given. Label axes.
b.Determine when the maximum amount of the drug is in the body and the amount at that time.
c.Explain within the context of the problem the shape of the graph between taking the medication orally (t = 0) and the maximum point. What does the shape of the graph communicate between the maximum point and two hours after taking the drug?
d. What are the asymptotes of the rational function C(t)=5t/(0.01t+3.3)? What is the meaning of the asymptotes within the context of the problem?
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