a.
To find: the horizontal asymptote of the function and interpret its meaning in the context of the problem.
a.
Answer to Problem 85E
Horizontal asymptote C =0.
For this problem it means the chemical will be almost entirely gone from the bloodstream over time.
Explanation of Solution
Given information: The concentration C of a chemical in the bloodstream t hours after
injection into muscle tissue is given by:
Calculation:
The degree of the numerator is 2 less than the degree of the denominator 3 so C will approach 0 as
For this problem it means the chemical will be almost entirely gone from the bloodstream over time.
b.
To graph: the function using graphing utility and approximate the time when the bloodstream concentration is greatest.
b.
Answer to Problem 85E
Concentration is greatest at about
Explanation of Solution
Given information:
Calculation:
The graph of the concentration function
From the graph, the concentration is greatest at about
c.
To find: when the concentration is less than 0.345 using the graphing utility.
c.
Answer to Problem 85E
The concentration is less than 0.345 in the 2.64 hours from the time of injection and after 8.23 hours.
Explanation of Solution
Given information:
Calculation:
From the graph of the concentration function C , the concentration is less than 0.345 in the 2.64 hours from the time of injection and after 8.23 hours.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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