5) (10 marks) Verify Stoke's theorem for F dr = ffs (VF) ds for the vector...

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5) (10 marks) Verify Stoke's theorem for F dr = ffs (VF) ds for the vector field F(x,y,z) = zi + 2xzj+ xyk over the part of the plane 2x+4y+z = 8 in the first octant. Provide a sketch of the surface and the boundary curve. 5) (10 marks) Verify Stoke's theorem for F dr = ffs (VF) ds for the vector field F(x,y,z) = zi + 2xzj+ xyk over the part of the plane 2x+4y+z = 8 in the first octant. Provide a sketch of the surface and the boundary curve.