Geometric Constructions 1

Given a,b,c,d,
construct the graph of the polynomial
ax^{3} + bx^{2}
+ cx + d.

Construct
the ellipse according to the parametric equations
x = a cos t, y = b sin t.
Construct an animation displaying the tangents at various points
of the ellipse.

Construct
the hyperbola. Construct an animation displaying the tangents at various
points of the hyperbola.

Construct
a cylinder.

Wrap the
graph of sin(2x) around a cylinder.