Let c be the curve of intersection of the spheres x^2+y^2+z^2=3 and (x-2)^2+(y-2)^2+z^2=3. find the parametric equation of the tangent line to c at the point p(1,1,1).generalize #1: let f(x, y,z)=0 and g(x, y,z)=0 be surfaces that intersect in a curve c. let p be a point on c.

explain how to obtain the parametric equation of the tangent line to c at p.