3 years ago

9.

Mathematics

1 answer:

abruzzese [7]3 years ago

4 0

Answer:corvette correct

Step-by-step explanation:

2(x+6)=-36 2(x+6)=-36 2(x+6)=-36 2(x+6)=-36

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The surface (call it $S$ ) is a triangle with vertices at the points

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$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

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Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

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