uppose another drug is administered intravenously. The concentration c

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.
Transcribed Image Text: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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