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).