A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge function S(t) = Atpe–kt 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 = 0.07, and t is measured in minutes, estimate the times corresponding to the inflection points and explain their significance. If you have a graphing device, use it to graph the drug response curve.
To estimate: The time corresponding to the inflection points and to explain about their significance.
The function is, .
The values and the time t is measured in minutes.
Obtain the derivative of .
Apply the Product Rule,
Obtain the derivative of by using the Product Rule.
Substitute value in the above expression.
Again replace by its function.
Use the Quadratic formula to find the values of t
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