Concept explainers
A
a. Find a model for the amount of drug in the bloodstream
b. Find the average rate of change of drug in the bloodstream between
a.
A model for the amount of drug in the bloodstream
Answer to Problem 1EA
Solution:
A model for the amount of drug in the bloodstream
Explanation of Solution
Given information:
The dose is
Formula used:
The growth-decay is
Calculation:
The amount of drug in the bloodstream
Here,
The function has the form
The general equation of the half-life
Solving this equation for
Since the half-life of this drug is
Therefore, the model for the amount of drug in the bloodstream
b.
The average rate of change of the drug in the bloodstream between
And the average rate of change of drug in the blood stream between
Answer to Problem 1EA
Solution:
The average rate of change from
The average rate of change from
Explanation of Solution
Given information:
The dose is
Formula used:
The average rate of change of function at
Calculation:
A model for the amount of drug in the bloodstream
The average rate of change of drug in the bloodstream between
Therefore, the average rate of change of drug in the bloodstream between
And the average rate of change of drug in the bloodstream between from
Therefore, the average rate of change of amount of the drug in the bloodstream from
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Chapter 3 Solutions
Calculus For The Life Sciences
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