Answer
$$\kappa(s)= \sqrt{14}.$$
Work Step by Step
The curvature in arc length parametrization is given by
$$\kappa(s)=\|\frac{dT}{ds}\|=\|T'(s)\|=\sqrt{1+4+9}=\sqrt{14}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 14 - Calculus of Vector-Valued Functions - 14.4 Curvature - Preliminary Questions - Page 734: 5
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