Curvature of $$$\mathbf{\vec{r}\left(t\right)} = \left\langle 5 \sin{\left(2 t \right)}, 5 \cos{\left(t \right)}, 7\right\rangle$$$

The calculator will find the curvature of $$$\mathbf{\vec{r}\left(t\right)} = \left\langle 5 \sin{\left(2 t \right)}, 5 \cos{\left(t \right)}, 7\right\rangle$$$, with steps shown.

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$$$\mathbf{\vec{r}\left(t\right)}$$$:$$$\langle$$$

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$$$\rangle$$$

If you have an explicit function $$$y = f{\left(x \right)}$$$, enter it as $$$x$$$, $$$f{\left(x \right)}$$$, $$$0$$$. For example, the curvature of $$$y = x^{2}$$$ can be found here.

Point $$$t$$$:

Leave empty if you don't need the curvature at a specific point.

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