Need help with these two cal3 questions. Please show all work and be neat. Thank you

Give an example of a surface defined by a function F(x, y, z) = k such that the tangent plane to this function at the point (To, yo, zo) is given by 2xo(x - x0) + 2yo(y - yo) - z + 20 = 0 Two curves g(t) = and h(s) = run along a surface. Do these curves intersect? If they do, find an equation for the tangent plane to the surface at that point. What could be an equation for the surface