After a lake has been stocked with 1000 trout, the trout population is modelled by the function N(t)=1000 + (10000t^2)/(t^2+100) where t is the time in years.

A) what is the trout population after a long period of time?

B) when is the population increasing most rapidly?

C) sketch the graph of N(t) and illustrate the results in parts A) and B)