A population of foxes: A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years the number of foxes is given by a. How many foxes were...

A population of foxes: A breeding group of foxes is introduced into a protected area and exhibits logistic population growth. After t years the number of foxes is given by

a. How many foxes were introduced into the protected area?

b. Calculate N (5) and explain the meaning of the number you have calculated.

c. Explain how the population varies with time. Include in your explanation the average rate of increase over the first 10-year period and the average rate of increase over the second 10-year period.

d. Find the carrying capacity for foxes in the protected area.

e. As we saw in the discussion of terminal velocity for a skydiver, the question of when the carrying capacity is reached may lead to an involved discussion. We ask the question differently. When is 99% of carrying capacity reached?