Examples

For more examples, see the help screens. The commands ParamPlot and ParamPlot3D are analagous to the plot and spacecurve commands you used last term. Both ParamPlot and ParamPlot3D will take a vector or a list of functions as their first argument. Don't forget to load the CalcP package if you have not already done so.

  > VDiff(g(t),t);

  > VDiff(g(t),t,t);

  > VPlot(f(t),t=-2..2);

  > VPlot(g(t),t=0..4*Pi);

  > VPlot(h(t),t=0..2*Pi);

  > ParamPlot(h(t),t=0..2*Pi);

  > ParamPlot3D(g(t),t=0..4*Pi);

  > VMag(h(t));

The Speed function can either give the speed at a fixed value of t, or give the speed as a vector expression involving t. See the examples below.

  > Speed(f(t),t=1);

  > Speed(f(t),t);

  > Speed(g(t),t);