#OK to post hw
#Nicholas DiMarzio, 12/2/21, Assignment 25
P11:using numerics

Orb([x^2 - 2*x + 2], [x], [2], 1000, 1010);
    [[2], [2], [2], [2], [2], [2], [2], [2], [2], [2], [2]]

Orb([x^2 - 2*x + 2], [x], [1.9], 1000, 1010);
 [[1.000000000], [1.000000000], [1.000000000], [1.000000000], 

   [1.000000000], [1.000000000], [1.000000000], [1.000000000], 

   [1.000000000], [1.000000000], [1.000000000]]


Orb([x^2 - 2*x + 2], [x], [1], 1000, 1010);
    [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]]

Orb([x^2 - 2*x + 2], [x], [1.1], 1000, 1010);
 [[1.000000000], [1.000000000], [1.000000000], [1.000000000], 

   [1.000000000], [1.000000000], [1.000000000], [1.000000000], 

   [1.000000000], [1.000000000], [1.000000000]]


Orb([x^2 - 2*x + 2], [x], [0.9], 1000, 1010);
 [[1.000000000], [1.000000000], [1.000000000], [1.000000000], 

   [1.000000000], [1.000000000], [1.000000000], [1.000000000], 

   [1.000000000], [1.000000000], [1.000000000]]


So x = 2 is unstable and x = 1 is stable

P12: using numerics

Orb([5/2*x - 5/2*x^2], [x], [0], 1000, 1010);
    [[0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0]]

Orb([5/2*x - 5/2*x^2], [x], [0.01], 1000, 1010);
[[0.6000000005], [0.5999999995], [0.6000000005], [0.5999999995], 

  [0.6000000005], [0.5999999995], [0.6000000005], [0.5999999995], 

  [0.6000000005], [0.5999999995], [0.6000000005]]


Orb([5/2*x - 5/2*x^2], [x], [0.001], 1000, 1010);
[[0.6000000005], [0.5999999995], [0.6000000005], [0.5999999995], 

  [0.6000000005], [0.5999999995], [0.6000000005], [0.5999999995], 

  [0.6000000005], [0.5999999995], [0.6000000005]]

Orb([5/2*x - 5/2*x^2], [x], [0.6], 1000, 1010);
[[0.6000000000], [0.6000000000], [0.6000000000], [0.6000000000], 

  [0.6000000000], [0.6000000000], [0.6000000000], [0.6000000000], 

  [0.6000000000], [0.6000000000], [0.6000000000]]


Orb([5/2*x - 5/2*x^2], [x], [0.59], 1000, 1010);
[[0.5999999995], [0.6000000005], [0.5999999995], [0.6000000005], 

  [0.5999999995], [0.6000000005], [0.5999999995], [0.6000000005], 

  [0.5999999995], [0.6000000005], [0.5999999995]]


So x = 0 is unstable and x = 0.6 is stable