Evaluate the surface integral, 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)...

Evaluate the surface integral, F · dS

for the given vector fieldF and the oriented surfaceS. In other words, find the flux ofF acrossS. For closed surfaces, use the positive (outward) orientation.

F(x,y,z) =xze^y
i −xze^y
j +zk

S is the part of the planex +y +z = 3 in the first octant and has upward orientation

Jun 05, 2022

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Evaluate the surface integral, 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)...

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