A drug is administered intravenously for the pain....

Question

The function

f(t)=90-52ln (l t), 0<t<4

gives the number of units of the drug in the body after t hours.

(a) What was the initial number of units of the drug administered?

(b)How much is present after 2 hours?

Answer 1

f(t) = 90 - 52ln (l + t), 0 &lt; t &lt; 4

(a) 90 units (ln(1 + 0) = 0)

(b) 90 - 52ln (l + 2) =

90 - 52ln (3) =

90 - 52(1.0986) =

90 - 57.128 =

32.872 units