Question

A stable population P of mosquitoes (measured in thousands), is observed to suddenly undergo a period of acceleration, given by
a(t) = 2 − [1/(t + 4)]
after t days. If the population was initially 1000 mosquitoes, determine the function P(t), and then find the population after 21 days.

Answer 1

v(t)= 2t - (2)(t+4)^(1/2) + C

Answer 2

P(t) = t^2 - (4/3)(t+4)^(3/2) +Ct + K

Answer 3

K=1000