65. Transform the surface integral curl(F dS into a line integral using Stokes' theorem, and evaluate the line integral: (a) F(x, y, z(y-, yz,-xz), S consists of the five faces of the cube 0 n is...

Extracted text: 65. Transform the surface integral curl(F dS into a line integral using Stokes' theorem, and evaluate the line integral: (a) F(x, y, z(y-, yz,-xz), S consists of the five faces of the cube 0 n is outward 2, unit normal x, y, z Answer: -4 (b) F(x, y, z) (xz,-y,x2y), S consists of three faces not in the xz-plane of the tetrahedron bounded by the three coordinate planes and the plane 3.x + y + 3z = 6. The unit normal n is outward of the tetrahedron. Answer: 4/3