A dosage d of a drugis given at times t=0,1,2.... The drug decays in the bloodst

Question

A dosage d of a drugis given at times t=0,1,2.... The drug decays in the bloodstream exponentially with rate p. Thus, the amount in the bloodstream after t+1 doses is

d+de^-p+de^-2p+de^-3p+...+de^-tp+..

Suppose the situation were continued "Infinitely". Would the above infinite series converge? if so can we find a value to which it converges to(t-->infinity)?

What would such a value mean in the context of the problem?

If p=.1 find the dosage needed to maintain a drug level at 2.

Please answer all questions please and show all your work please. thank you so much!!! 5 stars to best answer.

Explanation / Answer

Converges to vaule = a/1-r=d/1-e^-p.where a is initial term and r is ratio of geometric series.
2=d(1-e^0.1)

d=2(1-e^-0.1)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.