Calculus IITU Board null
) Find the flux of F =zi+xj+yk over the portion of the surface x?+y?= 1 in the first octant between z=0 to z= 2. b) State Stoke’s theorem. Use it to evaluate GF. d7, where F=(z,x,y) and c is the…
8) Find the flux of F =zi+xj+yk over the portion of the surface x?+y?= 1 in the first octant between z=0 to z= 2.
- b) State Stoke’s theorem. Use it to evaluate GF. d7, where F=(z,x,y) and c is the surface of upper half of sphere x? +y? +z? =a? in xy-plane.
OR
State Gauss divergence theorem. Evaluate ff, F.7ids , where F = (4x,x?y,—-x?z) and S$ is the surface of the tetrahedron with vertices (0,0,0),(1,0,0), (0,1,0), and (0,0,1), by using the Gauss divergence theorem.
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