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Virtual Math Learning Center

Virtual Math Learning Center Texas A&M University Virtual Math Learning Center

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 \(\mathbf{r}(t) = \left< \dfrac{7}{t^2-1},\, \ln(t+5),\, \sqrt{2-t}\right>.\)

\((-5,-1) \cup (-1,1) \cup (1,2]\)

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2. Find \(\displaystyle \lim_{t \to 2} \left< t^2,\, \dfrac{2-t}{t^2-4},\, \dfrac{\sin(\pi t)}{e^{t-2}-1} \right>.\)

\(\left< 4, -\dfrac{1}{4}, \pi \right>\)

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