7. (Strogatz 11.4.6) The tent map on the interval [0, 1] is defined by n f(n) where rt f(x) = Assume that r > 2. Then some points get mapped outside of the interval [0, 1 If f(xo) > 1 then we say that zo has "escaped" after one iteration. Similarly, if f"(1 for some finite n and n is the smallest integer for which this is true, then we say zo has escaped after n iterations. (a) Find the set of initial conditions o that escape after one iteration (b) Find the set of initial conditions zo that escape after two iterations. (c) Describe the set of o that never escape. This is called the invariant set