[6 pts] A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of change of the town's population.The study found that the town's population (measured in thousands of people) can be modeled by

,

where is time in years.

a.Use the definition of the derivative to find

b.Find .Interpret what the results mean for the town's population.

c.Find .Interpret what the results mean for the town's population.