Question
The quantity of a drug,Q mg, present in the bodyt hours after an injection of the drug is given is Q=f(t)=120te -0.5 t. Findf(1), f(1),
The quantity of a drug,Q
mg, present in the bodyt
hours after an injection of the drug is given is
Q=f(t)=120te-0.5t.
Findf(1), f(1), f(4),andf(4).
Give units and interpret the answers.
Round your answers to two decimal places.
f(1)=
f(1)=
f(4)=
f(4)=
Interpretation off(1)andf(1):
One hour after the drug was administered, the quantity of drug in the body is approximately
a.f ' (1) mg and the quantity is decreasing at a rate of |f (1)| mg per hour.
b. f ' (1) mg and the quantity is increasing at a rate of |f (1)| mg per hour.
c. f (1) mg and the quantity is decreasing at a rate of |f ' (1)| mg per hour.
d. f (1) mg and the quantity is increasing at a rate of |f ' (1)| mg per hour.
Interpretation of f(4)andf(4):
Fourhours after the drug was administered, the quantity of drug in the body is approximately
a.f (4) mg and the quantity is decreasing at a rate of |f ' (4)| mg per hour.
b. f ' (4) mg and the quantity is decreasing at a rate of |f (4)| mg per hour.
c. f (4) mg and the quantity is increasing at a rate of |f ' (4)| mg per hour.
d. f ' (4) mg and the quantity is increasing at a rate of |f (4)| mg per hour.
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