Consider the following.

$r(t)=(8-t)i(6t-5)j7tk,P(7,1,7)$

$($a$)$ Find the arc length function $s(t)$ for the curve measured from the point $P$ in the direction of increasing $t.$

$s(t)=$

$$

Reparametrize the curve with respect to arc length starting from $P.($Enter your answer in terms of s$.)$

$r(t(s))=$

$$

$($b$)$ Find the point $6$ units along the curve $($in the direction of increasing $t)$ from $P.$

$(x,y,z)=()$

Need Help? $$