The concentration of a drug in the bloodtream t minutes after the injection is modeled by the function, C(t) = 45te 0.04 Find the time when maximum concentration occurs. O after 20 minutes O after 25 minutes O after 30 minutes O after 35 minutes

The concentration of a drug in the bloodtream t minutes after the injection is modeled by the function, C(t) = 45te 0.04 Find the time when maximum concentration occurs. O after 20 minutes O after 25 minutes O after 30 minutes O after 35 minutes

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

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Question

The concentration of a drug in the bloodtream t minutes after the injection is modeled by the function,
C(t) = 45te 0.04 Find the time when maximum concentration occurs.
O after 20 minutes
O after 25 minutes
O after 30 minutes
O after 35 minutes

Expert Solution

Step 1

Given

We need to find the time when maximum concentration occurs

Step 2

To find out the maximum time , we take derivative . Apply product rule

Step 3

Now find the value of t where it reaches maximum or minimum .

Replace C’(x) with 0 and solve for t

Step by step

Solved in 5 steps with 4 images

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