Section 13.1 – Vector Functions and Space Curves
Exercises
Directions: You should try to solve each problem first, and then click "Reveal Answer" to check your answer. You can click "Watch Video" if you need help with a problem.
1. Find the domain of \(\mathbf{r}(t) = \left< \dfrac{7}{t^2-1},\, \ln(t+5),\, \sqrt{2-t}\right>.\)
\((-5,-1) \cup (-1,1) \cup (1,2]\)
2. Find \(\displaystyle \lim_{t \to 2} \left< t^2,\, \dfrac{2-t}{t^2-4},\, \dfrac{\sin(\pi t)}{e^{t-2}-1} \right>.\)
\(\left< 4, -\dfrac{1}{4}, \pi \right>\)