Select the option that gives the divergence of F. \mathbf{F}(r, \theta, \phi)=r^{3} \sin (2 \theta) \mathbf{e}_{r}+r \sin \theta \mathbf{e}_{\theta} \mathbf{A} \quad \boldsymbol{\nabla} \cdot \mathbf{F}=r(6 r \sin \theta+1) \cos \theta \mathbf{B}

\quad \mathbf{\nabla} \cdot \mathbf{F}=r^{3} \sin (2 \theta)+\sin \theta \mathbf{C} \quad \boldsymbol{\nabla} \cdot \mathbf{F}=2\left(5 r^{2} \sin \theta+1\right) \cos \theta \mathbf{D} \quad \boldsymbol{\nabla} \cdot \mathbf{F}=\left(6 r^{2} \sin \theta+1\right) \cos \theta A vector field is defined in spherical coordinates by