Sketch the circle r(t) = costi sin tj, and in each partdraw the vector with its correct

Chapter 12, Problem 8

(choose chapter or problem)

Sketch the circle $\mathbf{r}(t)=\cos t \mathbf{i}-\sin t \mathbf{j}$, and in each part draw the vector with its correct length.

(a) $\mathbf{r}^{\prime}(\pi / 4)$

(b) $\mathbf{r}^{\prime \prime}(\pi)$

Equation Transcription:

𝐫 $(t)=cos\ t$ 𝐢 $-sin\ t$ 𝐣

𝐫’ $(\pi{}/4)$

𝐫” $(\pi{})$

𝐫 $(2\pi{})-$ 𝐫 $(3\pi{}/2)$

Text Transcription:

r(t)=cos ti-sin tj

r’(pi/4)

r”(pi)

r(2)-r(3pi/2)

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