The quantity of a drug, Q mg, present in the body t hours after the injection of the drug is given is
Q=f(t)=105te?-0.4t??
Find f(1),f?′??(1),f(5) and f?′??(5). Give units and interpret the answers.
Round answers to two decimal places.
the tolerance is +/- 2%
f(1)=? |f?′??(1)|
f?′??(1)=?
f(5)=?
f?′??(5)=?
Interpretation of f(1) and f?′??(1):
One hour after the drug was administered, the quantity of drug in the body is approximately:
(Choose one)
a.) f(1)mg and the quantity is increasing at a rate of |f?′??(1)| mg per hour.
b.) f?′??(1)mg and the quantity is decreasing 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(5) and f?′??(5) :
One hour after the drug was administered, the quantity of drug in the body is approximately:
(Choose one)
a.) f(5) mg and the quantity is increasing at a rate of |f?′??(5)| mg per hour.
b.) f?′??(5) mg and the quantity is decreasing at a rate of |f(5)| mg per hour.
c.) f(5) mg and the quantity is decreasing at a rate of f?′??(5) mg per hour.
d.) f?′??(5) mg and the quantity is increasing at a rate of |f(5)| mg per hour.