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)
have you not studied limits and end behavior of functions? do you know what a horizontal asymptote is and how to find it?
some lessons you need to review ...
Limits and Infinity
Horizontal Asymptotes
[(1000)(100)+10000]/100
What is wrong here with my equation?
Part B)
N'(t)=[(20,000t)(t^2+100)-(20000t^3)]/[(t^2+100)^2]
=[20,000t(t^2+100-t^2)]/(t^2+100)^2]
=[20,000(100)]/[t^2+100)^2]
N'(t)=0 when t=
and with part b, what did I do wrong here? can you please check? thank you
you quit too easy.
http://www.mathhelpforum.com/math-he...oblem-2-a.html