![SOLVED:Find the curvature \kappa of each space curve traced out by the vector function \mathbf{r}=\mathbf{r}(t). \mathbf{r}(t)=\sin t \mathbf{i}+\cos t \mathbf{j}+b t \mathbf{k} SOLVED:Find the curvature \kappa of each space curve traced out by the vector function \mathbf{r}=\mathbf{r}(t). \mathbf{r}(t)=\sin t \mathbf{i}+\cos t \mathbf{j}+b t \mathbf{k}](https://cdn.numerade.com/previews/694a7fad-2a1e-4617-a6be-58a77183e525.gif)
SOLVED:Find the curvature \kappa of each space curve traced out by the vector function \mathbf{r}=\mathbf{r}(t). \mathbf{r}(t)=\sin t \mathbf{i}+\cos t \mathbf{j}+b t \mathbf{k}
![SOLVED:Use the alternative curvature formula \kappa=\frac{|\mathbf{v} \times \mathbf{a}|}{|\mathbf{v}|^{3}} to find the curvature of the following parameterized curves. r(t)=\left(4+t^{2}, t, 0\right) SOLVED:Use the alternative curvature formula \kappa=\frac{|\mathbf{v} \times \mathbf{a}|}{|\mathbf{v}|^{3}} to find the curvature of the following parameterized curves. r(t)=\left(4+t^{2}, t, 0\right)](https://cdn.numerade.com/previews/bf650818-452f-4255-acd7-d990bfccf818.gif)
SOLVED:Use the alternative curvature formula \kappa=\frac{|\mathbf{v} \times \mathbf{a}|}{|\mathbf{v}|^{3}} to find the curvature of the following parameterized curves. r(t)=\left(4+t^{2}, t, 0\right)
![SOLVED:Find the curvature \kappa of each plane curve traced out by the vector function \mathbf{r}=\mathbf{r}(t). \mathbf{r}(t)=2 t \mathbf{i}+t^{3} \mathbf{j} SOLVED:Find the curvature \kappa of each plane curve traced out by the vector function \mathbf{r}=\mathbf{r}(t). \mathbf{r}(t)=2 t \mathbf{i}+t^{3} \mathbf{j}](https://cdn.numerade.com/previews/6440508f-365f-4d8d-ba6b-0ada52f9018e.gif)