Undergraduate

Use Stokes' theorem to evaluate S F n dS where S is the hemisphere x 2 + y 2 + z 2 = 8 1

Use Stokes' theorem to evaluate
S
F n dS
where S is the hemisphere
x2+ y2+ z2=81,
x 0,
oriented frontward. Here
F =
yz, x sin(z), xyz2
.

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