After a foreign substance is introduced into the blood, the rate at which antibodies are made is modeled by f(t)=15t/9t^2+11 where f(t)f(t) is in thousands of antibodies per minute, and tt is measured in minutes with 0≤t≤1000≤t≤100. Assuming that there are no antibodies present at time t=0t=0, find the total number of antibodies in the blood at the end of 100 minutes. Round your answer to two decimal places.
After a foreign substance is introduced into the blood, the rate at which antibodies are made is modeled by f(t)=15t/9t^2+11 where f(t)f(t) is in thousands of antibodies per minute, and tt is measured in minutes with 0≤t≤1000≤t≤100. Assuming that there are no antibodies present at time t=0t=0, find the total number of antibodies in the blood at the end of 100 minutes. Round your answer to two decimal places.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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1. After a foreign substance is introduced into the blood, the rate at which antibodies are made is modeled by
f(t)=15t/9t^2+11
where f(t)f(t) is in thousands of antibodies per minute, and tt is measured in minutes with 0≤t≤1000≤t≤100. Assuming that there are no antibodies present at time t=0t=0, find the total number of antibodies in the blood at the end of 100 minutes. Round your answer to two decimal places.
Number of Antibodies (in thousands) =
2. The velocity of a car (in miles per hour) is given by
v(t)=10t−5t^2
where tt is in hours. Write a definite integral for the distance the car travels during the first 2 hours. Use your graphing calculator to find this distance.
Distance =
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