Mathematics, 19.12.2019 19:31 twinkieslayer
Let c be the unit circle in the xy-plane, oriented counterclockwise as seen from above. the divergence of the vector field f~ = (z, x, y) is zero, and as a result the flux through every surface with boundary c should be the same. confirm that this is the case with the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane
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Let c be the unit circle in the xy-plane, oriented counterclockwise as seen from above. the divergen...
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