Let f (x,y) = (y-x^2)(y-x^4):
(a) Verify that (0; 0) is a critical point for f and that the discriminant at (0; 0) is zero.
(b) Verify that 0 = f(0;0) is the minimum value of f(x,y) along every line through (0,0). (These
lines are of the form y = kx and x = 0)
(c) Show f does not have a local...