?Given the vector-valued function \(\mathbf{r}(t)=\langle\cos t, \sin t\rangle\), find

Chapter 3, Problem 5

(choose chapter or problem)

Given the vector-valued function \(\mathbf{r}(t)=\langle\cos t, \sin t\rangle\), find the following values:

a. \(\lim _{t \rightarrow \frac{\pi}{4}} \mathbf{r}(t)\)

b. \(\mathbf{r}\left(\frac{\pi}{3}\right)\)

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

d. Graph \(\mathbf{r}(t)\)

Text Transcription:

r(t) = langle cos t, sin t rangle

lim t right arrow pi/4 r(t)

r(pi/3)

r(t)

t = pi/3