x 0 15x 0 025xy y 0 25y 0 025xy a Find the critical point in the first quadrant x y 10 6 Use a numerical solver to sketch some population cycles Choose x 0 9 and y 0 5 14 14 12FX t 10 O 8 6 4 2 14 Fy t 12 x t 10 8 6 4 20 ty t x 20 40 60 40 80 60 t t 80 100 12 EX t 100 10 8 12 FX t 10 ma 8 6 4 y t 2 O 6 4 0 ty t 0 14 20 40 20 60 40 80 60 t 80 100 t 100 b Estimate the period of the periodic solutions that are close to the critical point in part a Choose x 0 9 and y 0 5 Use a CAS to estimate the period and round your answer to two