(4,6, -2) Evaluate the integral y dx + x dy + 2 dz by finding parametric equations for the line segment from (3, 1, 1) to (4,6, - 2) and evaluating the line integral of F = yi + xj + 2k along the segment. Since F is conservative, the integral is independent of the path. (3, 1, 1) (4,6, -2) ydx + x dy+2 dz = (3, 1, 1)Find the k-component of (curl F) for the following vector field on the plane. F = (6xey)i+ (ye 2x )j (curl F) . k =