For which value of aaa is the vector field F⃗(x,y)=(ax2y+siny,x3+xcosy)\vec{F}(x,y) = (ax^2 y + \sin y, x^3 + x \cos y)F(x,y)=(ax2y+siny,x3+xcosy) conservative?
a=−3a = -3a=−3
a=0a = 0a=0
a=1a = 1a=1
a=3a = 3a=3