Ch. 4.3 #9Can you show me how to do this A drug response curve describes the level of medication in the bloodstream after a drug is administered. A surge functionS(t) = At'e-kt is often used to model the response curve, reflecting an initial surge in the drug level and then a more gradualdecline. 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)12001200100010008008006006004004002002005010015020025050100150200250S(t)S(t)50001200400010003000800 20004001000200102030405050100150200250Use 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.)Atminutes, the rate of increase of the level of medication in the bloodstream is at its greatest. Atminutes, the rate of decrease is the greatest.

Given: The function to model the response curve is St=AtPe-kt where t is measured in minutes. It is…

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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...

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Question

Ch. 4.3 #9 Can you show me how to do this

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
1200
1000
1000
800
800
600
600
400
400
200
200
50
100
150
200
250
50
100
150
200
250
S(t)
S(t)
5000
1200
4000
1000
3000
800

2000
400
1000
200
10
20
30
40
50
50
100
150
200
250
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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