Question: Consider the curve r(t) = (a cos t + b sin t)i + (c cos t + d sin t)j + (e cos t +

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.

1 sin t Ji + V3 1 cos t + V2 1 sin t j V3 r(t) cos t + sin t )k

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