Let ${ \vec { F } } = x ( 1 + z ) \vec { i } + 2 y ( 1 + z ) \vec { j }$ Find the flux of $\vec { F }$ across the parametric surface S given by x = s cos t, y = s sin t, z = s, for 1$\le$s $\le$2, 0 $\le$ t $\le$2 $\pi$, oriented downward.

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The Answer of Let ${ \vec { F } } = x ( 1 + z ) \vec { i } + 2 y ( 1 + z ) \vec { j }$ Find the flux of $\vec { F }$ across the parametric surface S given by x = s cos t, y = s sin t, z = s, for 1$\le$s $\le$2, 0 $\le$ t $\le$2 $\pi$, oriented downward.

Let F⃗=x(1+z)i⃗+2y(1+z)j⃗{ \vec { F } } = x ( 1 + z ) \vec { i } + 2 y ( 1 + z ) \vec { j }F=x(1+z)i+2y(1+z)j​

Let ${ \vec { F } } = x ( 1 + z ) \vec { i } + 2 y ( 1 + z ) \vec { j }$