Part A) find the population after 15 yearsPart B) find the rate of change P'(t)Part C) sketch a graph of the function

Part 1 of 3 Points: 0 of 1 Save A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never rescued. The natural resources of the island restrict the population to a limiting value of 5740, to which the population gets closer and closer but which it never reaches. The population of the island after time t, in years, is approximated by the logistic equation given below. Complete parts (a) through (c). 5740 P(t ) = 1 +4.74e-0.6t a) Find the population after 15 years. (Round to the nearest integer as needed.)