Determine whether each of the following vector fields F⃗ 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)f(x,y) so that f=F ∇f=F→. If it is path dependent, enter NONE.

(a) If F (x,y)=(x+2)i+(6y+4)j F→(x,y)=(x+2)i→+(6y+4)j→, then
f(x,y)f(x,y) =