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MBA, PHD
Phoniex
Jul-2007 - Jun-2012
Corportae Manager
ChevronTexaco Corporation
Feb-2009 - Nov-2016
7. Suppose that another drug is administered intravenously to an adult patient in a hospital as prescribed by a doctor. The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after administration) is modeled by the function.
a) Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after administration at intervals of two hours. Write the concentration accurate to two decimal places as needed.
Â
t |
0 |
2 |
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6 |
8 |
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12 |
14 |
16 |
18 |
20 |
22 |
24 |
c(t) |
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b) When will the concentration of the drug fall to a level of 0.5 mg/L?
c) When must the next dose of the drug be administered to the patient in order to maintain a concentration above 1 mg/L and below 8 mg/L? Explain your reasoning.
d) What is a reasonable domain for this function? Justify why (and if) you would exclude any values.
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