Let alpha:(-1,1)toR^3 be defined by alpha(t)=(t,t^2,t^3). Then the curvature k(t) at t=0 is:

Q57Section II (Mathematics)57 of 145

Twisted cubic at the origin: $|\alpha'\times\alpha"|/|\alpha'|^3=2$

Let $\alpha:(-1,1)\to\mathbb{R}^3$ be defined by $\alpha(t)=(t,t^2,t^3)$ . Then the curvature $k(t)$ at $t=0$ is:

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