POPULATION GROWTH It is estimated that t years from now, the population of a certain subur...

POPULATION GROWTH It is estimated that t years from now, the population of a certain suburban community will be thousand.

a. Derive a formula for the rate at which the population will be changing with respect to time t years from now.

b. At what rate will the population be growing 1 year from now?

c. By how much will the population actually increase during the second year?

d. At what rate will the population be growing 9 years from now?

e. What will happen to the rate of population growth in the long run?