# 65. Transform the surface integral curl(F dS into a line integral using Stokes' theorem, andevaluate the line integral:(a) F(x, y, z(y-, yz,-xz), S consists of the five faces of the cube 0n is outward2, unit normalx, y, zAnswer: -4(b) F(x, y, z) (xz,-y,x2y), S consists of three faces not in the xz-plane of the tetrahedronbounded by the three coordinate planes and the plane 3.x + y + 3z = 6. The unit normal n isoutward of the tetrahedron.Answer: 4/3

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Stokes theorem – If S be a smooth surface which is bounded by a simple, closed and smooth boundary curve, then

Step 2

(a)Consider the given function and the surface as,

Step 3

Applying stokes theorem on t...

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