please help me with this homework. Thanks.

Conceptual Problems 4 1. The paraboloid z = 4x2 + 4y and the cone z = V3x2 + 3y2 intersect at a point P and a closed curve C that does not contain P. Determine the point P and find a smooth vector-valued function r(t) for the curve C. Also, compute the distance between the point P and the point Q on C such that OQ = r(0). 2. Let C be the curve given by the smooth vector valued function r(t) = (cost + sint, cost - sint, 5t) with domain -co