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What Curve, C, Is Traced Out by the Parameterization r=2i+(cost)j+(sint)k\vec { r } = 2 \vec { i } + ( \cos t ) \vec { j } + ( \sin t ) \vec { k }

question 36

Essay

What curve, C, is traced out by the parameterization r=2i+(cost)j+(sint)k\vec { r } = 2 \vec { i } + ( \cos t ) \vec { j } + ( \sin t ) \vec { k } for 0 \le t \le 2 π\pi ?
Either give a very complete verbal description or sketch the curve (or both).


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