Question
Evaluate the surface integral S F · dS for the given vector field F and the...
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) = x2i + y2j + z2k
S is the boundary of the solid half-cylinder0 ≤
z ≤
| 16 − y2 |
, 0 ≤ x ≤ 5
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Evaluate the surface integral S F · dS for the given vector field F and the...
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