Geometric Constructions 1

  1. Given a,b,c,d, construct the graph of the polynomial ax3 + bx2 + cx + d.
  2. 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.
  1. Construct the hyperbola. Construct an animation displaying the tangents at various points of the hyperbola.
  2. Construct a cylinder.
  3. Wrap the graph of sin(2x) around a cylinder.