SOLUTION: The concentration of a drug in medical patients bloodstream is given by
f(t)=5 / {{{t^2+1}}} where t is greater than less than 0 is in hours and f(t) is in milligrams per liter.
Algebra.Com
Question 134746: The concentration of a drug in medical patients bloodstream is given by
f(t)=5 / where t is greater than less than 0 is in hours and f(t) is in milligrams per liter.
a. Does the concentration of the drug increase or decrease? Justify answer
b. The patient should not take a second dose until the concentration is below 1.5 milligrams per liter. How long should the patient wait before taking a second dose?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The concentration of a drug in medical patients bloodstream is given by
f(t)=5/(t^2+1) where t is greater than or less than 0 is in hours and f(t) is in milligrams per liter.
a. Does the concentration of the drug increase or decrease? Justify answer
As t increases, concentration decreases; they are indirectly related.
------------------------------------
b. The patient should not take a second dose until the concentration is below 1.5 milligrams per liter. How long should the patient wait before taking a second dose?
1.5 = 5/(t^2+1)
1.5t^2 + 1.5 = 5
1.5t^2 = 3.5
t^2 = 2.3333
t = 1.5275
He should wait at least 1.5275 hours.
====================================
Cheers,
Stan H.
RELATED QUESTIONS
Please help me solve this equation:
A drug is administered to a patient and the... (answered by Boreal)
A drug is administered to a patient and the concentration of
the drug in... (answered by Fombitz)
The concentration of a drug (in milligrams per liter) in a medical pateitsn bloodstream... (answered by josgarithmetic,MathTherapy)
When a certain drug is taken orally, the concentration of the drug in the patient's... (answered by ewatrrr)
When a certain drug is taken orally, the concentration of the drug in the patient's... (answered by solver91311,josmiceli)
A drug is injected into a patient and the concentration of the drug in the bloodstream is (answered by math33)
A drug is administered to a patient and the concentration of the drug in the bloodstream... (answered by robertb)
A drug is administered to a patient and the concentration of the drug in the bloodstream... (answered by jim_thompson5910)
The remaining concentration of a drug in a person’s bloodstream is modeled by the... (answered by Theo)