HW9: Problem 3 rv UpNext (3 pts) Determine whether each of the following vector fields F is path independent (conservative) or not. If it is path independent, enter a potential function for it, that is, a function f(x, y) so that â½f-F. If it is path dependent, enter NONE (a) If F(r, y) f(x,y) (r6)i + (5y + 2)j, then (b) If F(r, y) f(x,y) = (6x +5y)i+ (5r +5y)j. then (c) If F(x, y) = (-6y, 62), then f(x, y)- (d) If F(.,y) = (2x2-y2,-20y).then f (r, y) (r, y)y1+5In(r +3)j.then f(r,y)- 6y sin (xy)1+ 6x sin (xy)], then (f) If F(x, y) f (x, y) You are logged in as Musendiq Liadi (Logout)