Use a computer algebra system to plot the projections onto the xy- and xz-planes of the curve r(t) = (t cos t, t sin t, t) in Exercise 25.

Data From Exercise 25

Let C be the curve given by r(t) = (t cos t, t sin t, t).
(a) Show that C lies on the cone x² + y² = z².
(b) Sketch the cone and make a rough sketch of C on the cone.