Reference no: EM132080187

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.