A team of biologists is interested in the ability of certain birds to migrate great distance with little rest. the biologists are monitoring a flock of birds known to migrate after spending the winter in the warm climates of the Okefenokee swamp. The location of the flock in x(t) hundreds of miles east and y(t) hundreds of miles north of the base camp of biologists, t days after their departure from Okefenokee swamp is given by: x(t)=3t+(1/2), y(t)=t^(3/2) +(1/5).
a) What is Okefenokee swamp in relation to the base camp of biologists?
b) Is there a time when the flock of birds is traveling due North East? If not, explain why not.
c) Is the flock of birds moving at a constant rate throughout the first three days of their journey? Why or Why not?
d) How far (to the nearest tenth of a mile) does the flock of birds travel in the first three days of their journey?