Suppose that the concentration C in mg/L of medication in a patient's bloodstream is modelled by the function C x , t = 0.2 x e − 0.2 t − e − t , where x is the dosage of the medication in mg and t is the number of hours since the beginning of administration of the medication. (a) Suppose that the medication in the bloodstream reaches an effective level after a half hour. Estimate how much longer the medication remains effective. (b) Suppose the dosage is 100 mg. Estimate the maximum concentration in the bloodstream.
Suppose that the concentration C in mg/L of medication in a patient's bloodstream is modelled by the function C x , t = 0.2 x e − 0.2 t − e − t , where x is the dosage of the medication in mg and t is the number of hours since the beginning of administration of the medication. (a) Suppose that the medication in the bloodstream reaches an effective level after a half hour. Estimate how much longer the medication remains effective. (b) Suppose the dosage is 100 mg. Estimate the maximum concentration in the bloodstream.
Suppose that the concentration C in mg/L of medication in a patient's bloodstream is modelled by the function
C
x
,
t
=
0.2
x
e
−
0.2
t
−
e
−
t
,
where x is the dosage of the medication in mg and t is the number of hours since the beginning of administration of the medication.
(a) Suppose that the medication in the bloodstream reaches an effective level after a half hour. Estimate how much longer the medication remains effective.
(b) Suppose the dosage is 100 mg. Estimate the maximum concentration in the bloodstream.
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