Find the divergence of the vector field F=⟨ex,sin(xy),z2⟩\mathbf{F} = \langle e^x, \sin(xy), z^2 \rangleF=⟨ex,sin(xy),z2⟩.
ex+xcos(xy)+2ze^x + x\cos(xy) + 2zex+xcos(xy)+2z
ex+cos(xy)+z2e^x + \cos(xy) + z^2ex+cos(xy)+z2
ex+ycos(xy)+2ze^x + y\cos(xy) + 2zex+ycos(xy)+2z
000