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SCALCET$816\mathrm{.}7\mathrm{.}029.$

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$)=\backslash$xi $+3$yj$+2$zk

S is the cube with vertices $(+-1,+-1,+-1)$

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SCALCET$816\mathrm{.}7\mathrm{.}508.$XP$.$

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$)=$xyi$+12$x$^(2)$j$+$yzk

S is the surface z$=$xe$^($yxy with upward orientation