7. t c(t) 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 20t time (in hours after administration) is modeled by the function c(t) = t² +4 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. 0 2 4 6 8 10 12 14 16 18 20 22 24 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.
7. t c(t) 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 20t time (in hours after administration) is modeled by the function c(t) = t² +4 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. 0 2 4 6 8 10 12 14 16 18 20 22 24 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1:12
7.
t
c(t)
Suppose that another drug is administered avenously 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
20t
time (in hours after administration) is modeled by the function c(t)=
t² +4
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.
0
2
4
6
8
10 12 14 16 18 20 22 24
b) When will the concentration of the drug fall to a level of 0.5 mg/L?
|||
5G 61%
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.
3 of 3
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