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 N(t) = 37.5 XXXXXXXXXX t foxes. (a) How many foxes...

(a) How many foxes were introduced into the protected area?
  foxes


(b) CalculateN(6). (Round your answer to the nearest whole number.)

N(6) =


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.
 foxes


(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 97% of carrying capacity reached? (Round your answer to the nearest year.)
after  years