Question: 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,
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.
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