?Given the vector-valued function \(\mathbf{r}(t)=\left\langle t

Chapter 3, Problem 6

(choose chapter or problem)

Given the vector-valued function \(\mathbf{r}(t)=\left\langle t, t^{2}+1\right\rangle\), find the following values:

a. \(\lim _{t \rightarrow-3} \mathbf{r}(t)\)

b. \(\mathbf{r}(-3)\)

c. Is \(\mathbf{r}(t)\) continuous at  \(x=-3\)?

d. \(\mathbf{r}(t+2)-\mathbf{r}(t)\)

Text Transcription:

r(t) = langle t, t^2 + 1 rangle

lim t right arrow -3 r(t)

r(-3)

r(t)

x = -3

r(t + 2) - r(t)

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