A number of birds of an endangered species were released in a forest preserve with a carrying capacity of 500 birds. The population P of the birds can be modeled by P(t)= 500/1+4.55e^-0.5t , where t is the number of years since the birds were released. (a) When does the growth rate start to decrease?

(b) What is the initial population?

(c) What is the maximum population?

(d) What is the population of the birds after 2 years?

PLEASE EXPLAIN THIS AS WELL, DON'T JUST ANSWER, I DON'T REALLY UNDERSTAND IT AND i'D LOVE FOR SOMEONE TO EXPLAIN IT