(b) You measure the data given on the right for the concentration of the drug in a patient's blood. Write down the solution to the differential equation from part (a) in terms of co and k1- t (hrs) c(t) (mg/liter) 50 1 43.4 c(t) = C, e *;t Calculate the parameters co and k, that fit the model to this data. Co =D and k, = (Type integers or decimal rounded to three decimal places as needed.)

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You are modeling the concentration of a drug in a person's blood after they take one pill. We assume that after they take the pill the drug enters their blood effectively
instantaneously. The drug has first order elimination kinetics. Complete parts (a) and (b).
B. The constant k, represents the rate of elimination and constant co represents the initial concentration of drug in the blood.
O C. The constant k, represents the rate of elimination and constant co represents the final concentration of drug in the blood.
O D. The constant k, represents the rate at which drug is entering the blood and constant co represents the initial concentration of drug in the blood.
(b) You measure the data given on the right for the
concentration of the drug in a patient's blood. Write down
the solution to the differential equation from part (a) in
terms of co and k1.
t (hrs)
c(t) (mg/liter)
50
1
43.4
c(t) = Co
Calculate the parameters co and k, that fit the model to this data.
Co = and k, =
(Type integers or decimal rounded to three decimal places as needed.)
Transcribed Image Text:You are modeling the concentration of a drug in a person's blood after they take one pill. We assume that after they take the pill the drug enters their blood effectively instantaneously. The drug has first order elimination kinetics. Complete parts (a) and (b). B. The constant k, represents the rate of elimination and constant co represents the initial concentration of drug in the blood. O C. The constant k, represents the rate of elimination and constant co represents the final concentration of drug in the blood. O D. The constant k, represents the rate at which drug is entering the blood and constant co represents the initial concentration of drug in the blood. (b) You measure the data given on the right for the concentration of the drug in a patient's blood. Write down the solution to the differential equation from part (a) in terms of co and k1. t (hrs) c(t) (mg/liter) 50 1 43.4 c(t) = Co Calculate the parameters co and k, that fit the model to this data. Co = and k, = (Type integers or decimal rounded to three decimal places as needed.)
You are modeling the concentration of a drug in a person's blood after they take one pill. We assume that after they take the pill the drug enters their blood effectively
instantaneously. The drug has first order elimination kinetics. Complete parts (a) and (b).
(a) Explain why the concentration of drug in their blood satisfies a differential equation
= - k, c with c(0) = Cn. Choose the correct answer below.
dc
= A(t) - k, c. As the drug enters the blood effectively instantaneously. There is
The differential equation for a drug with first order elimination kinetics is
dt
no further absorption after time t= 0, so A(t) = 0. Thus
dc
= - k, c.
OB.
dc
= A(t) – k, c. As the drug enters the blood effectively instantaneously. There is
dt
The differential equation for a drug with first order elimination kinetics is
dc
no further absorption after time t= 0, so A(t) = 0. Thus,
= -k,
dt
OC.
dc
The differential equation for a drug with first order elimination kinetics is
= A(t) – kn. As the drug enters the blood effectively instantaneously. There is no
dt
dc
= - ko.
dt
further absorption after time t= 0, so A(t) = 0. Thus,
Transcribed Image Text:You are modeling the concentration of a drug in a person's blood after they take one pill. We assume that after they take the pill the drug enters their blood effectively instantaneously. The drug has first order elimination kinetics. Complete parts (a) and (b). (a) Explain why the concentration of drug in their blood satisfies a differential equation = - k, c with c(0) = Cn. Choose the correct answer below. dc = A(t) - k, c. As the drug enters the blood effectively instantaneously. There is The differential equation for a drug with first order elimination kinetics is dt no further absorption after time t= 0, so A(t) = 0. Thus dc = - k, c. OB. dc = A(t) – k, c. As the drug enters the blood effectively instantaneously. There is dt The differential equation for a drug with first order elimination kinetics is dc no further absorption after time t= 0, so A(t) = 0. Thus, = -k, dt OC. dc The differential equation for a drug with first order elimination kinetics is = A(t) – kn. As the drug enters the blood effectively instantaneously. There is no dt dc = - ko. dt further absorption after time t= 0, so A(t) = 0. Thus,
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