6.
The number N of threatened and endangered species in the U.S. from 1993 to 2002 is
approximated by the model $N = \frac{42.58t^2 + 690}{0.03t^2 + 1}$, where $t$ represents the year, with $t = 3$
corresponding to 1993.
a. Use the model to estimate the number of threatened and endangered species in
2008.
b. According to the model, in the long run (several years into the future), what will
be the maximum number of threatened and endangered species. Explain how you
found your answer.