a.
To find: the horizontal asymptote of the function and interpret its meaning in the context of the problem.
a.
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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.
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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.
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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
EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR
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