The curve c intersects the surface s in two points find the, Mathematics

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The curve c intersects the surface s in two points find the

3. Let C be the curve with parametrization r(t) = cos t, sin t, 2√3t/Π and let S be the sphere of redius 2, centered at the origin.

(a) The curve, C, intersects the surface, S, in two points. Find the coordinates of these points.

(b) Find the arclength of the segment of the curve C that lies within the sphere S.

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