Given the curve (x^2)y+ax+by=0 have three inflection points, where a and b are constants. a) Using implicit differentiation, find y' and y'' in terms of a and b. b) Find the values of a and b if one...

Given the curve (x^2)y+ax+by=0 have three inflection points, where a and b are constants.

a) Using implicit differentiation, find y' and y'' in terms of a and b.

b) Find the values of a and b if one of the inflection points is (2, 5/2).

c) With the answer in (b), find another two inflection points.