Evaluate the flux of F⃗=⟨xz,yz,1⟩\vec{F} = \langle xz, yz, 1 \rangleF=⟨xz,yz,1⟩ through the upper hemisphere x2+y2+z2=1,z≥0x^2 + y^2 + z^2 = 1, z \geq 0x2+y2+z2=1,z≥0.
2π3\frac{2\pi}{3}32π
π\piπ
4π3\frac{4\pi}{3}34π
2π2\pi2π