• Draw the graph of y = e-1/x for 0 < x . Put labels on it.

  • (Continuation) Draw the graph of a function which is identically 0 for x < 0, 1 for x > 1, and infinitely differentiable in between. Put labels on it.
  • Draw

  • (Continuation of this last exercise) Define a function f(path) with one argument path, which is an array of n+1 pairs [Pi,Vi ]. Here P is a point and V a velocity. The function constructs a path B(t) for t=0 to t=n with B(i) = Pi , B'(i) = Vi , by using Bézier curves and calculus. Draw the following curve:
  • Draw the graph of
    F(x) = the integral from 0 to x of exp(-t 2).