Sketch the graphs of each of the following parametric equations (a) x 3 cos t, y 3 sin t, 0 t 2 (b) x 3 cos t, y sin t, 0 t 2 (c) x t cos t, y t sin t, 0 t 6 (d) x cos t, y sin 2t, 0 t 2 (e) x cos 3t, y sin 2t, 0 t 2 (f) x cos t, y sin t, 0 t 40 ...

Sketch the graphs of each of the following parametric equations. (a) x = 3 cos t, y

Question:

Sketch the graphs of each of the following parametric equations.
(a) x = 3 cos t, y = 3 sin t, 0 ≤ t ≤ 2π
(b) x = 3 cos t, y = sin t, 0 ≤ t ≤ 2π
(c) x = t cos t, y = t sin t, 0 ≤ t ≤ 6π
(d) x = cos t, y = sin 2t, 0 ≤ t ≤ 2π
(e) x = cos 3t, y = sin 2t, 0 ≤ t ≤ 2π
(f) x = cos t, y = sin πt, 0 ≤ t ≤ 40