Find an arc length parametrization $r_1(s)$ of the curve $r(t) = \langle e^t \sin(t), e^t \cos(t), 7e^t \rangle$.
(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and
fractions where needed.)
$r_1(s) = \left\langle \left(\frac{s}{\sqrt{51}} + 1\right) \sin\left(\ln\left(\frac{s}{\sqrt{51}} + 1\right)\right), \left(\frac{s}{\sqrt{51}} + 1\right) \cos\left(\ln\left(\frac{s}{\sqrt{51}} + 1\right)\right), 3\left(\frac{s}{\sqrt{51}} + 1\right) \right\rangle$
Incorrect