When will the concentration of the drug fall to a level of 0 5 mg L math homework help

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.

t

0

2

4

6

8

10

12

14

16

18

20

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24

c(t)

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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