Consider the curve r(t) = (a cos t + b sin t)i + (c cos t + d sin t)j + (e cos t + f sin t)k, where a, b, c, d, e, and f are real numbers. It can be shown that this curve lies in a plane.

Graph the following curve and describe it.

Transcribed Image Text:

(2 cos t + 2 sin t)i + (-cos t + 2 sin t).j r(1) + (cos t - 2 sin t)k