After a foreign substance is introduced into the blood , the rate at which antibodies are made is given by r(t)=t/t^2 + 1 thousands of antibodies per minute,where time , t , is measured in minutes and t < 0< 4 . Assume that there were no antibodies present at time t=0.
a.Use a left Riemann sum on four subintervals of equal width to estimate the number of antibodies present after four minutes.Is this estimate an underestimate or an overestimate of the actual number of antibodies present , or is it not possible to tell?Use graphical evidence to support your claim.
b.Use right Riemann sum on four subintervals of equal width to estimate the number of antibodies present after four minutes.Is this estimate an underestimate or an overestimate of the actual number of antibodies present , or is it not possible to tell?Use graphical evidence to support your claim.