Use Stokes' Theorem to compute the integral S curl F dS, where F(x, y, z)
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Use Stokes' Theorem to compute the integral ∫∫S curl F · dS, where F(x, y, z) = xz i + yz j+ xy k and S is the part of the sphere x2 + y2 + z2 = 4 that lies inside the cylinder x2 + y2 = 1 and above the xy-plane. (See Figure 4.)
Figure 4
Stokes' Theorem
Transcribed Image Text:
xx N 0 S C x² + y² + z² = 4 y x² + y² = 1
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To find the boundary curve C we solve the equations x y z 4 and x y 1 Subtracting we ...View the full answer
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