$[0\mathrm{.}75/1$ Points$]$

SCALCET$913\mathrm{.}3\mathrm{.}014.$EP$.$

Consider the following.

the length of the curve of intersection of the cylinder $16x^2{y}^2=16$ and the plane $xyz=6$

Let $C$ be the curve of intersection. Using $t$ as the parameter where $0t2,$ write parametric equations for $C$ and give the corresponding vector equation $r(t).$

$r(t)=$

$$ Nicely done!

Find $r^{\text{'}}(t)$ and $|r^{\text{'}}(t)|.$

$r^{\text{'}}(t)=$

$$

$|r^{\text{'}}(t)|=$

$$

You're right!

Find the length of $C.($Round your answer to four decimal places.$)$

Need Help?

$$