Population P, whose size t days after we start the observation is given by the formula

P(t)=200(1- 0.8e-0.1tcos(2t)).

Another population, called Q, changes according to the formula

Q(t)=200(1+ 0.1e0.8tcos(2t)),

where t is the time (in days) when we start the observation.

What is the initial size of each population and describe the population trend for each population as the time increases (that is, as t).