Let $,r(t)=ti+t^{2}j+t^{3}k,be$ a parameterization $of$ a smooth

curve $in$ space. $Ifwe$ use Simpson's Rule with $n=10to$

approximate the length $of$ arc $ofr(t)$ from the origin $to$ the point

$(2,4,8).$ Then, the length $of$ this arc ~~

Select one:

$a.8\mathrm{.}5706$

$b.11\mathrm{.}5706$

$c.9\mathrm{.}5706$

$d.10\mathrm{.}5706$