A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge function S(t) = At'e-kt is often used to model the response curve, reflecting an initial surge in the drug level and then a more gradual decline. Graph the drug response curve for a particular drug where A = 0.01, p = 4, k = 0.08, and t is measured in minutes.
A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge function S(t) = At'e-kt is often used to model the response curve, reflecting an initial surge in the drug level and then a more gradual decline. Graph the drug response curve for a particular drug where A = 0.01, p = 4, k = 0.08, and t is measured in minutes.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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Ch. 4.3 #9
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Transcribed Image Text:A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge function
S(t) = At'e-kt is often used to model the response curve, reflecting an initial surge in the drug level and then a more gradual
decline. Graph the drug response curve for a particular drug where A = 0.01, p = 4, k = 0.08, and t is measured in minutes.
S(t)
S(t)
1200
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S(t)
S(t)
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Transcribed Image Text:2000
400
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10
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Use a graph of S' to estimate the times corresponding to the inflection points. (Enter your answers as a comma-separated list.)
Explain the significance. (Round your answers to two decimal places.)
At
minutes, the rate of increase of the level of medication in the bloodstream is at its greatest. At
minutes, the rate of decrease is the greatest.
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