Question
Find (a) $\mathbf{r}^{\prime \prime}(t)$ and $(\mathbf{b}) \mathbf{r}^{\prime}(t) \cdot \mathbf{r}^{\prime \prime}(t)$.$$\mathbf{r}(t)=8 \cos t \mathbf{i}+3 \sin t \mathbf{j}$$
Step 1
The derivative of $\cos t$ is $-\sin t$ and the derivative of $\sin t$ is $\cos t$. So, we have: $$ \mathbf{r}^{\prime}(t) = -8 \sin t \mathbf{i} + 3 \cos t \mathbf{j} $$ Show more…
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