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(a) A curve C is given by the intersection of the parabolic cylinder y=x2with the top...

(a) A curve C is given by the intersection of the parabolic cylinder y=x2with the top half of the ellipsoid x2+4y2+4z2=16. Find the parametric equation r(t) of the curve C.

(b) A surface S is the part of the sphere x2+y2+z2=6 which is outside the paraboloi z=4-x2-y2. Find the parametric equations of the boundary curves of S.

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