A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge function

S(t) = At^(p)e^(−kt)
(where t > 0) is often used to model the response curve, reflecting an initial surge in the drug level and then a more gradual decline. If, for a particular drug, A = 0.01, p = 4, k = 0.08, and t is measured in minutes, estimate the times t corresponding to the inflection points. (Round your answers to two decimal places.)

1 answer

So, you have

s = 0.01 t^4 e^(-.08t)
s" = t^2 e^(-.08t)(.000064t^2-.0064t+.12)

so, there are inflection points at
t = 0, 25, 75

See the graph at

http://www.wolframalpha.com/input/?i=+0.01+t^4+e^%28-.08t%29+where+0%3C%3Dt%3C%3D100
Similar Questions
    1. answers icon 1 answer
  1. A drug in the bloodstream has a concentration of c(x) =3t/t^2 + 1Approximate the highest concentration of the drug reached in
    1. answers icon 0 answers
  2. A drug in the bloodstream has a concentration of c(x) =3t/t^2 + 1Approximate the highest concentration of the drug reached in
    1. answers icon 0 answers
  3. A drug in the bloodstream has a concentration of c(x) =3t/t^2 + 1Approximate the highest concentration of the drug reached in
    1. answers icon 0 answers
more similar questions