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$($i$)$

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Find the flux of the vector field $\frac{?}{\text{b}\text{a}\text{r}}(F)=($:$y,-x,z^3$:$)$ through the helicoid with parameterization $r(u,v)=($:ucosv,usinv,$v$:$),0u1,0v2$ oriented away from the origin.

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Evaluate ${}_S{x}^2+y^2-zdS$ where $S$ is the part of the cone $z^2=x^2+y^2$ that lies between the planes $z=2$ and $z=3.$

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