Calculate the divergence of the vector field F(x,y,z)=⟨exsiny,eysinz,ezsinx⟩\mathbf{F}(x, y, z) = \langle e^x \sin y, e^y \sin z, e^z \sin x \rangleF(x,y,z)=⟨exsiny,eysinz,ezsinx⟩.
exsiny+eysinz+ezsinxe^x \sin y + e^y \sin z + e^z \sin xexsiny+eysinz+ezsinx
exsiny−eysinz+ezsinxe^x \sin y - e^y \sin z + e^z \sin xexsiny−eysinz+ezsinx
000
excosy+eycosz+ezcosxe^x \cos y + e^y \cos z + e^z \cos xexcosy+eycosz+ezcosx