Advanced Math Help!
posted by Rach .
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by
m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we also treat oral administration
of drugs as an injection, although the model is less accurate because of the drug must be absorbed into the blood through the stomach
4.
the sedative diazepam has a halflife of 7 hr. find the drug function m for diazepam.
graph the drug function with m(0)=5 for 0(<=) t (<=)48 hours.
how much drug remains in the blood 12 hr and 24 hr after a 5mg dose is taken?
5.
the antibiotic tetracycline has a halflife of 9 hours. suppose a doctor wishes a patient to have a 100mg of tetracycline in the blood 18 hours after an injection. what initial does meets his requirement?
6.
twelvee hours after a 200 mg dose of a drug is injected. the drug level in thebloodd is 75mg. what is the approximate halflife drug?
Respond to this Question
Similar Questions

Pre Calc!
A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount A(t) remaining in the body t hours later is given by A(t)=10(0.8)^t and that in order for the drug to be effective, at least 2 milligrams … 
Pre Calc!
A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount A(t) remaining in the body t hours later is given by A(t)=10(0.8)^t and that in order for the drug to be effective, at least 2 milligrams … 
Derivatives
a pationt recives an injection of 1.5 milligrams of a medication, and the amount remaining in the bloodstream t hours later is A(t)= 1.5e^0.08t .find the instantaneous rate of change of this amount: a) Immediately after the injection … 
Precalculus
Suppose 3 mg of a drug is injected into a person's bloodstream. As the drug is metabolized, the quantity diminishes at the continuous rate of 6 % per hour. Find a formula for Q(t), the quantity of the drug remaining in the body after … 
Calculas
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
CALCULUS PLEASE HELP!!
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
CALCULUS PLEASE HELP!!
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
Chemisrty
An intravenous line provides a continuous flow of drug directly into the blood. Assuming no initial drug in the blood, the amount of drug in the blood t hours after the dosing begins in m(t)  (a/k)(1e^kt), for t (=>)0, where … 
CALCULUS PLEASE HELP
suppose m(0) milligrams of a drug are put in the blood of an injection. The amount of drug t hours after the injection is given by m(t)=m(o)e^kt, for t (=>) 0, where k is the rate constant, which is related to the half life. we … 
Calculus
A medicine is administered to a patient. The amount of medicine M, in milligrams, in 1 mL of the patientâ€™s blood, t hours after the injection, is M(t)=1/3t^2+t where 0<t<3 ￼a. Find the rate of change in the amount M, …