AS PROJECT. Curves. Graph the following more complicated
Chapter 9, Problem 9.5(choose chapter or problem)
AS PROJECT. Curves. Graph the following more complicated curves. (a) r(t) = [2 cos t + cos 2t, 2 sin t - sin 2t] (Steiner's hypocycloid) (b) r(t) = [cos t + k cos 2t. sin t - k sin 2t] with k = 10,2. 1,~, O. -~, -) (c) r(t) = [cos t. sin 5t] (a Lissajolls cline) (d) r(t) = [cos t, sin kt]. For what k's will it be closed? (e) r(t) = [R sin wt + wRt, R cos wt + R] (cycloid).
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