
Concept explainers
a.
To find: what quantity of the drug remains in the body after the patient takes three pills.
a.

Answer to Problem 49E
Quantity of the drug remains in the body after the patient takes three pills is 105.25.
Explanation of Solution
Given information: A patient is prescribed a drug and is told to take one 100 mg pill
every eight hours. After eight hours, about 5% of the drug remains in the body.
Calculation:
The series in this situation is:
Sum when n =3.
b.
To find: what quantity remains after n pills are taken.
b.

Answer to Problem 49E
Quantity remains after n pills are taken:
Explanation of Solution
Given information: A patient is prescribed a drug and is told to take one 100 mg pill
every eight hours. After eight hours, about 5% of the drug remains in the body.
Calculation:
Quantity remains after n pills are taken:
Where n is the number of pills taken.
c.
To find: what happens in the long run.
c.

Answer to Problem 49E
105.263 mg.
Explanation of Solution
Given information: A patient is prescribed a drug and is told to take one 100 mg pill
every eight hours. After eight hours, about 5% of the drug remains in the body.
Calculation:
Quantity remains after n pills are taken:
Since series is geometric sequence : with
So,
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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