MATLAB Question 3: Part 1 of 3

b: Module Two Problem Set Question 3, 2.1.29 HW Score: 35%, 3.5 of 10 points Part 1 of 3 * Points: 0 of 1 dP During the period from 1790 to 1920, a country's population P(t) (t in years) grew from 4.2 million to 106.5 million. Throughout this period, P(t) remained close to the solution of the initial value problem dt - = 0.03126P - 0.0001486P~, P(0) = 4.2. (a) What 1920 population does this logistic equation predict? b) What limiting population does it predict? (c) The country's population in 2000 was 264 million. Has this logistic equation continued since 1920 to accurately model the country's population? (a) The logistic equation predicts the population in 1920 to be million. (Do not round until the final answer. Then round to the nearest thousandth as needed.)