The relative growth rate of world population has been decreasing steadily in recent years. On the basis of this, some population models predict that the world population will eventually stabilize at a level that the planet can support. One such logistic model is: P(t) = 73.2 6.15 + 9e−0.2t , where t = 0 is the year 2000 and population is measured in billions. (a) (3 points) What would population does this model predict for the year 2100? (b) (3 points) What would population does this model predict for the year 2300? (c) (4 points) Evaluate P(t) for large values of t. According to this model, what size does the world population approach as t →