Consider the space curve vec$(r)(t)=($:$5t,3cos(t),3sin(t)$:$).$

a$.$ Find the arc length function for vec$(r)(t).$

$s(t)={\displaystyle \underset{0}{\overset{t}{}}}||vec(r{)}^{\text{'}}()||d=$

b$.$ Find the arc length parameterization for vec$(r)(t).$

vec$(r)(s)=($:$,3cos(\frac{s}{\sqrt[\phantom{2}]{34}})vv{0}^{},3sin(\frac{s}{\sqrt[\phantom{2}]{34}})vv{0}^8$:$)$

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