13. (a) The fixed points are the solutions of x_{n} =
_{n}^{2}*(1 - x_{n})_{n} = 0, ^{2} - 4*s))/2*s^{2} - 4*s))/2*s

(b) The slope of the tangent line is _{n} - 3*x_{n}^{2})

(c) At x_{n} = 0, the slope of the tangent line is 0; at
x_{n} = 1, the slope of the tangent line is -s.

(d) The maximum occurs where the slope of the tangent line is zero, that is, at
x_{n} = 2/3.

(e) For x_{n} = 2/3, x_{n+1} = 4*s/27.
Thus x_{n+1} = 1 for s = 27/4 and so the dynamics are
bounded between 0 and 1 for 0 <= s <= 27/4.

(f) The fixed point x_{n} = 0 is stable for all s. The slope of
the tangent line at x_{n} =
^{2} - 4*s))/2*s^{2} - 4*s))/2_{n} =
^{2} - 4*s))/2*s^{2} - 4*s))/2

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