Consider the curve r(t) = (a cos t + b sin t)i + (c cos t +

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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.

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

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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