$t = $ 3.00
$\Bigg\rbrace$ parametric equations for $C$
$x = f(t)$
$y = g(t)$
$z = h(t)$
$\mathbf{r}(t) = \langle f(t),g(t),h(t) \rangle$
In this example,
$f(t) = \sin\left(\frac{5}{2}t\right) - t$,
$g(t) = t - \cos\left(\frac{5}{2}t\right)$,
$h(t) = \frac{1}{4}t^2+1$.
In particular,
$\mathbf{r}($
3.00
$)\,= \langle$
-2.06,
2.65,
3.25 $\rangle$