According to data from the U.S. Bureau of the Census, the population (measured in m...

According to data from the U.S. Bureau of the Census, the population (measured in millions of people) of the United States in 1950, 1960, and 1970 was, respectively, 151.3, 179.4, and 203.3.

(a) Using the 1950 and 1960 population figures, solve the corresponding Malthusian population model.

(b) Determine the logistic model corresponding to the given data.

(c) On the same set of axes, plot the solution curves obtained in (a) and (b). From your plots, determine the values the different models would have predicted for the population in 1980 and 1990, and compare these predictions to the actual values of 226.54 and 248.71, respectively.