Question

Compute the length of the path r(t) = for 1<= 12 years ago

Answer 1

\[S= \int\limits_{t_1}^{t_2} \left| r'(t)\right|dt=\int\limits_1^3 \sqrt{\left( 2 \cos(2t)\right)^2+\left( -2 \sin(2t)\right)^2+\left( 3\right)^2}dt\]
Do you know how to proceed?

Answer 2

Nope just a vector-valued function