Answer
(a) See graph.
(b) Eventually the rabbit population will level off at 3000.
Work Step by Step
(a) We draw a graph for the function. As can be seen, the rabbit population rise sharply at the beginning
$0\leq t\leq 5$, and the growth rate slows down after that.
(b) When $t\gt 40$, the growth rate becomes very low and eventually the rabbit population will level off at 3000
(approaching its upper limit) as can be seen from the figure.
