Verify Stokes' theorem for the vector field F(x, y, z) = zî + xj+ yk taken over the half of the sphere x + y° + z = a° lying above the xy-plane; where C is the boundary of this sphere is on the surface z = 0 with anti-clockwise orientation looking down the positive z- axis.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Verify Stokes' theorem for the vector field F(x, y, z) = zî + xj+ yk taken over
the half of the sphere x + y° + z = a° lying above the xy-plane; where C is
the boundary of this sphere is on the surface z = 0 with anti-clockwise
orientation looking down the positive z- axis.
Transcribed Image Text:Verify Stokes' theorem for the vector field F(x, y, z) = zî + xj+ yk taken over the half of the sphere x + y° + z = a° lying above the xy-plane; where C is the boundary of this sphere is on the surface z = 0 with anti-clockwise orientation looking down the positive z- axis.
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