all parts with explanation please

4 point) Determine whether each of the following vector feios Bis path Independent (conservative) or not. If it is path Independent, enter a potential function tore that is a function f(y) so that Vf Pin it is path dependent, enter NONE () 19 F(x,y) - (x + 6)i + (6 + f(x,y) - **2/26x+3y2dy (D) IT F(x,y) - (x + 4y)i + (4x + y)j, then f(x, y) = then (c) it F(x,y) (3, 3), then f(x,) = (a) F(x, y) = (x? y. 2xy), then (e)x,) 49 4 +4In(x +49, then F.) 3ysin(xvlt + 3x sin(x) then (ay)