?

Multivariable Calculus

Free Version

Upgrade subject to access all content

Moderate

Find Length of the Curve, t between 0 and 2

MVCALC-42OL1S

Find the length of the curve:

$$\textbf{r}(t)=\displaystyle (t\sin{t}+\cos{t}) \textbf{i}+(t\cos{t}-\sin{t})\textbf{j} +\frac{\sqrt{3}}{2}t^2\textbf{k}$$

...for $0 \le t \le 2$.

A

$2$

B

$\cfrac{26}{3}$

C

$\cfrac{2}{3}$

D

$4$

E

$\cfrac{7}{3}$