Compute the divergence ∇⋅F\nabla \cdot \mathbf{F}∇⋅F of the 3D vector field F=⟨sin(x),cos(y),z2⟩\mathbf{F} = \langle \sin(x), \cos(y), z^2 \rangleF=⟨sin(x),cos(y),z2⟩.
cosx−siny+2z\cos x - \sin y + 2zcosx−siny+2z
cosx+siny+2z\cos x + \sin y + 2zcosx+siny+2z
−cosx−siny+z2-\cos x - \sin y + z^2−cosx−siny+z2
⟨cosx,−siny,2z⟩\langle \cos x, -\sin y, 2z \rangle⟨cosx,−siny,2z⟩