Question: A DOOMSDAY SITUATION The population of a certain breed of rabbits introduced into an isolated island is given by
P(t) = 72 (0 ≤ t < 9)
9 - t
where t is measured in months.
a. Find the number of rabbits present in the island initially (at t = 0).
b. Show that the population of rabbits is increasing without bound.
c. Sketch the graph of the function P. (Comment: This phenomenon is referred to as a doomsday situation.)