(Solution Library) Find the flux of the field F(x, y, z)=< 1,-3 z^2, 3 y z> through the surface whose area of that portion of the paraboloid x=9-y^2-z^2 that lies
Question: Find the flux of the field \(F(x, y, z)=\left\langle 1,-3 z^{2}, 3 y z\right\rangle\) through the surface whose area of that portion of the paraboloid \(x=9-y^{2}-z^{2} \quad\) that lies within the annular cylinder defined by \(4 \leq y^{2}+z^{2} \leq 9\).
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(See) Compute the (outward) flux of the field F(x, y, z)=[c10
![[Solved] Let F(x, y, z)=[c9 x+2 z](/images/solutions/MC-solution-library-46352.jpg "[Solved] Let F(x, y, z)=[c9 x+2 z , y-3 x , x^2 tan ^-1(y z)],")
[Solved] Let F(x, y, z)=[c9 x+2 z , y-3 x , x^2 tan ^-1(y z)],
![[See Solution] Let F(x, y, z)=[cy e^2](/images/solutions/MC-solution-library-46353.jpg "[See Solution] Let F(x, y, z)=[cy e^2 z , x e^2 z , 2 x y e^2")
[See Solution] Let F(x, y, z)=[cy e^2 z , x e^2 z , 2 x y e^2
![[All Steps] Let S be the surface](/images/solutions/MC-solution-library-46354.jpg "[All Steps] Let S be the surface of the cylinder defined by x^2+y^2")
[All Steps] Let S be the surface of the cylinder defined by x^2+y^2
(Step-by-Step) Let F(x, y, z)=[l2 x-y z-x^2 , 3 y+x z+y^3 , 4
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