\text { Consider the vector-valued function } \vec{r}(t)=\left\langle\frac{1}{t^{2}-1}, \sin ^{-1}(t+3), t \cos (\pi t)\right\rangle . The graph of F(t) is a (circle one answer): surface/ planar curve / space curve

/ helix / plane / airplane ) Find the domain of 7(t). Write it in interval notation. ) Find F(-3).