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Advanced Engineering Mathematics

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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2. Suppose another drug is administered intravenously. The concentration c of the drug (in mg/L) in the
20t
bloodstream, t hours after it is administered, is modeled by the function_c(t)=
t +4
a. Determine when the concentration will be 0.5 mg/L.
Between 39.9 hr and 0.10 hr, the concentration will be at 0.5 mg/L.
b. Complete the table representing the concentration of the drug in the bloodstream, t hours after
administration. Round to two decimal places as needed.
t
c(t)
0
0
2
5
4
4
6
3
8 10 12 14 16 18 20
2.35 1.92 1.62 1.4 1.23 1.09 0.99
c. What is a reasonable domain for this function? Justify your answer.
d. When must the patient receive the next intravenous dose of the drug in order to maintain a
concentration above 1 mg/L and below 8 mg/L? Explain your reasoning.
e. Compare the concentration of the oral drug (#1) and the concentration of the intravenous drug (#2) over the
first 20 hours after it is given.

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