Question
the concentration of a medicine in the bloodstream after t hours of taking it is given...
the concentration of a medicine in the bloodstream after t hours of taking it is given by the equation c(t)=.1t/(t+3)^2 where t is the elapsed time in hours measured from 11am what is the maximum concentration
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
Suppose that the concentration C of a medication in the bloodstream t hours after an injection...
Suppose that the concentration C of a medication in the
bloodstream t hours after an injection is given by C(t) = 0.4t /
t^2 + 4 .
(a) Determine the number of hours before C attains its
maximum
(b) Find the maximum concentration.
After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled...
After an antibiotic tablet is taken, the concentration of the
antibiotic in the bloodstream is modeled by the function
C(t) = 7(e−0.4t − e−0.6t)
where the time t is measured in hours and C is
measured in µg/mL. What is the maximum concentration of the
antibiotic during the first 12 hours? (Round your answer to four
decimal places.)
µg/mL
The concentration C (in mg/dl) of a certain antibiotic in a patients bloodstream is given by...
The concentration C (in mg/dl) of a certain antibiotic in a
patients bloodstream is given by
C= 50t t2 + 25
where t is the time (in hours) after taking the antibiotic.
a. What is the concentration 4 hours after taking the
antibiotic?
b. In order for the antibiotic to be effective, 4 or more mg/dl
must be present in the bloodstream. When do you have to take the
antibiotic again?
1)The concentration of a drug in an organ at any time t (in seconds) is given...
1)The concentration of a drug in an organ at any time t
(in seconds) is given by
x(t) = 0.08 + 0.18(1 −
e−0.04t)
where x(t) is measured in milligrams per cubic
centimeter (mg/cm3).
(a) What is the initial concentration of the drug in the
organ?
mg/cm3
(b) What is the concentration of the drug in the organ after 18
sec? (Round your answer to four decimal places.)
mg/cm3
2)Jane took 120 mg of a drug in the morning and...
A certain drug has a half-life in the bloodstream of 2 hours. Doses of D mg...
A certain drug has a half-life in the bloodstream of 2 hours.
Doses of D mg will be administered every 6 hours, with D to be
determined. a) What percentage of a single dosage remains after 6
hours?; after 12 hours?
b) Express the number of milligrams of drug in the bloodstream
after the nth dose has been administered as a geometric series.
c) What is the long-run level of the drug in the bloodstream,
assuming that D mg continue...
The rate at which a drug leaves the bloodstream is proportional to the concentration of the...
The rate at which a drug leaves the bloodstream is proportional
to the concentration of the drug in the blood.
A) Iif the concentration is given by C[t], what differential
equation does C[t] satisfy?
B) Give a formula for C[t].
C) How many parameters does your formula have, and how many data
points would you need to find all of them?
1 The Problem: Drugs in Series[1] One of the physician’s responsibilities is to give medicine dosage...
1
The Problem: Drugs in
Series[1]
One of the physician’s responsibilities is to give medicine
dosage for a patient in an effective manner. Two mathematical
techniques help physicians analyze the concentration of drug is the
bloodstream of a patient: the exponential decay model (EDM) and the
Geometric Series and its Formula (GSF). In this problem, we will
analyze the situation where a drug is administered intravenously
and that the concentration of the drug in the bloodstream jumps
almost immediately to...
The concentration of a drug in body fluids depends on the time (t) elapsed after its...
The
concentration of a drug in body fluids depends on the time (t)
elapsed after its administration. Assume that after 4 hours, 60% of
the drug remains in the body and that the amount of drug decreases
exponentially. How much drug is left after 6 hours? How long should
it take for only 10% of the drug to remain?
The drug concentration curve is given by equation: ?(?) = 6? ∙ ? -0.5t . Here...
The drug concentration curve is given by equation: ?(?) = 6? ∙ ?
-0.5t . Here concentration ?(?) is measured in mg/ml and
time is measured in hours. What is the rate of drug
concentration increase at t = 0? For how may hours will the drug
concentration be increasing? (Hint: the drug concentration function
increases until it reaches its maximal value, and then it starts to
decrease.)
Blood Alcohol Level The percentage of alcohol in a person's bloodstream t hr after drinking 8...
Blood Alcohol Level The percentage of alcohol
in a person's bloodstream t hr after drinking 8 fluid oz
of whiskey is given by the function below.
A(t) =
0.2te−0.5t (0
≤ t ≤ 12)
At how long (in hr) after drinking the alcohol is the percentage
of alcohol in the person's bloodstream at its highest level? (Round
your answer to two decimal places.)
t = ___________- hr
What is the level (in %)? (Round your answer to three decimal
places.)
_______________%...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 2 minutes ago
asked 4 minutes ago
asked 9 minutes ago
asked 12 minutes ago
asked 24 minutes ago
asked 26 minutes ago
asked 36 minutes ago
asked 42 minutes ago
asked 58 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago