During the period from 1790 to , a country's population P(t) (t in years) grew from million to million. Throughout this period, P(t) remained close to the solution of the initial value problem , P(0). (a) What population does this logistic equation predict? (b) What limiting population does it predict? (c) The country's population in 2000 was million. Has this logistic equation continued since to accurately model the country's population?