Processing math: 0%
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