Q1: Using Maple, find the fixed points of x->3.6*x*(1-x) (if they exist) (ii) Stable fixed points by hand
A: f(x) = 3.6x-3.6x^2
X = 0, 1 fixed points
f’(x) = 3.6 - 7.2x
|f’(0)| = 3.6 unstable
|f’(1)| = 3.6 unstable


Q2: What other constant did Feigenbaum discover and what is its significance?
A: The second Feigenbaum constant or Feigenbaum's alpha constant is the ratio between the width of a tine and the width of one of its two subtines (except the tine closest to the fold). A negative sign is applied to α when the ratio between the lower subtine and the width of the tine is measured.  These numbers apply to a large class of dynamical systems (for example, dripping faucets to population growth). (Copied from the wikipedia article)