Question $1$

Let M$\_(1),$M$\_(2),$M$\_(3),$M$\_(4)$ be the flux of the vector field

F$=(14$x$-10$y$+4$z$,$x$-4$z$,-3$x$+4$z$)$

outward through the four faces of the tetrahedron with vertices $(0,0,0),(2,0,0),(0,2,0),(0,0,2),$ and let M be the outward flux through the whole

tetrahedron. Then the value of sin$($M$\_(1))+$sin$($M$\_(2))+$sin$($M$\_(3))+$sin$($M$\_(4))+$sin$(2$M$)$ is

$-1\mathrm{.}271$

$-0\mathrm{.}303$

$-4\mathrm{.}047$

$-4\mathrm{.}077$

$-3\mathrm{.}427$

$-1\mathrm{.}616$

$0\mathrm{.}642$

$-1\mathrm{.}449$