Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 12 - Vector-Valued Functions - 12.5 Curvature - Exercises Set 12.5 - Page 879: 25

Answer

$$ 1 $$

Work Step by Step

We find: $\frac{\left|\frac{d^{2} y}{d x^{2}}\right|}{\left(\left(\frac{d y}{d x}\right)^{2}+1\right)^{3 / 2}}=\kappa$ $\frac{|\sin x|}{\left(\cos ^{2} x+1\right)^{3 / 2}}=\kappa(x)$ $1=\kappa(\pi / 2)$
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