The vector function is given by:
\(\mathbf{r}(t) = \frac{t-2}{t+2} \mathbf{i} + \sin t \mathbf{j} + \ln(9-t^2) \mathbf{k}\).
This function has three components:
- \(\frac{t-2}{t+2}\) for the \(\mathbf{i}\) component.
- \(\sin t\) for the \(\mathbf{j}\)
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