After a foreign substance is introduced into the blood the r
After a foreign substance is introduced into the blood, the rate at which antibodies are made is modeled by
f(t) = 17 t
7 t2 + 7
where f(t) is in thousands of antibodies per minute, and t is measured in minutes with 0 ? t ? 120. Assuming that there are no antibodies present at time t = 0, find the total number of antibodies in the blood at the end of 120 minutes. Round your answer to two decimal places.
Number of Antibodies (in thousands)
f(t) = 17 t
7 t2 + 7
where f(t) is in thousands of antibodies per minute, and t is measured in minutes with 0 ? t ? 120. Assuming that there are no antibodies present at time t = 0, find the total number of antibodies in the blood at the end of 120 minutes. Round your answer to two decimal places.
Number of Antibodies (in thousands)
Solution
No of antibodies = Integration of f(t) = 17t^2/2 = 122400 thousands