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 - z,yz,-xz), S consists of the five faces of the cube 0 s x,...


please only answer part (b)


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

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 - z,yz,-xz), S consists of the five faces of the cube 0 s x, y,z s 2, unit normal n is outward Answer: -4 (b) F(x, y,z) bounded by the three coordinate planes and the plane 3x + y + 3z = 6. The unit normal n is outward of the tetrahedron (xz,-y, x2y) S consists of three faces not in the xz-plane of the tetrahedron = Answer: 4/3.

Jun 05, 2022
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