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In: Advanced Math

Show that the integral ( over a volume) of the curl of the vector A is...

Show that the integral ( over a volume) of the curl of the vector A is equal to the integral over a closed surface (containing the volume) of A x da

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Evaluate the surface integral    S F · dS for the given vector field F and...
Evaluate the surface integral    S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i − z j + y k S is the part of the sphere x2 + y2 + z2 = 1 in the first octant, with orientation toward the origin
Evaluate the surface integral    S F · dS for the given vector field F and...
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Evaluate the surface integral    S F · dS  for the given vector field F and the...
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