If a scalar field fff has a constant gradient ∇f=⟨1,2⟩\nabla f = \langle 1, 2 \rangle∇f=⟨1,2⟩, what is the function f(x,y)f(x, y)f(x,y)?
x+2y+Cx + 2y + Cx+2y+C
x2+2y2+Cx^2 + 2y^2 + Cx2+2y2+C
xy+Cxy + Cxy+C
2x+y+C2x + y + C2x+y+C