Find the curl of F=⟨exsiny,excosy,z2⟩\mathbf{F} = \langle e^x \sin y, e^x \cos y, z^2 \rangleF=⟨exsiny,excosy,z2⟩.
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩
⟨0,0,excosy−excosy⟩\langle 0, 0, e^x \cos y - e^x \cos y \rangle⟨0,0,excosy−excosy⟩
⟨0,0,excosy⟩\langle 0, 0, e^x \cos y \rangle⟨0,0,excosy⟩
⟨0,0,1⟩\langle 0, 0, 1 \rangle⟨0,0,1⟩