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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text: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
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