Homework SourseAfter 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 given by
r(t)=1/1+t^2 thousands per minute, where time t is measured in minutes and 0<t<4. How many antibodies are in the blood after four minutes, assuming there were none at time t=0?
r(t)=1/1+t^2 thousands per minute, where time t is measured in minutes and 0<t<4. How many antibodies are in the blood after four minutes, assuming there were none at time t=0?
Solution
ANS: ò04 [t/( t2+1)] dt =0.5log(t2+1 ) |04 = 0.5(log17)thousand =615
