# Calculus

posted by
**Erika** on
.

fter a foreign substance is introduced into the blood, the rate at which antibodies are made is modeled by

f(t) = 27 t/8 t^2 + 3

where f(t) is in thousands of antibodies per minute, and t is measured in minutes with 0 ≤ t ≤ 60. Assuming that there are no antibodies present at time t = 0, find the total number of antibodies in the blood at the end of 60 minutes. Round your answer to two decimal places.

Number of Antibodies (in thousands) =