Which of the following vector fields is NOT conservative in its domain?
F⃗(x,y)=(2xy,x2)\vec{F}(x,y) = (2xy, x^2)F(x,y)=(2xy,x2)
F⃗(x,y)=(excosy,−exsiny)\vec{F}(x,y) = (e^x \cos y, -e^x \sin y)F(x,y)=(excosy,−exsiny)
F⃗(x,y)=(−y,x)\vec{F}(x,y) = (-y, x)F(x,y)=(−y,x)
F⃗(x,y)=(cosx+y,x+siny)\vec{F}(x,y) = (\cos x + y, x + \sin y)F(x,y)=(cosx+y,x+siny)