In 1774,Captain James Cook left 10 rabbits on a small Pacific island. The rabbit population is approximated by 50uo P(t) 1+653-04 with measured in years since 1774. Use calculator or computer to answer the following questions (a) Graph P. Does the population level off? Ifit does; at what population? Ifit does not; enter NA The population levels off at about rabbits_ (b) Estimate when the rabbit population grew most rapidly: How large was the population at that time? Round the number of years to the nearest integer: The rabbit population grew most rapidly approximately years after Captain Cook left the rabbits on the island, when the population was rabbits_ (c) Find the inflection point on the graph and explain its significance for the rabbit population. Round your answer to the nearest integer: The inflection point is approximately years after Captain Cook left the rabbits on the island which coincides with the population (d) What naturab causes could lead to the shape of the graph of P?