Question: Consider the curve C given by r(t) = (cos(2t) sint, sin(2t), cos(2t) cos t). (a) Show that C lies on the sphere of radius 1

Consider the curve C given by r(t) = (cos(2t) sint, sin(2t), cos(2t) cos t).
(a) Show that C lies on the sphere of radius 1 centered at the origin.
(b) Show that C intersects the x-axis, the y-axis, and the z-axis.

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