Chapter 13.3, Problem 33E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

(a) Is the curvature of the curve *C* shown in the figure greater at *P* or at *Q*? Explain.

(b) Estimate the curvature at *P* and at *Q* by sketching the osculating circles at those points.

**(a)**

To determine

**To explain**: Whether the curvature of curve *C* is greater at *P* or *Q*.

Explanation

The curvature of curve at point is measured in terms of how fast the curve is changing its direction at that particular point. The curve at point *P* is quickly changing its direction, ...

**(b)**

To determine

**To estimate**: The curvature at *P* or *Q* using sketch of osculating circles at those points.

Sect-13.1 P-1ESect-13.1 P-2ESect-13.1 P-3ESect-13.1 P-4ESect-13.1 P-5ESect-13.1 P-6ESect-13.1 P-7ESect-13.1 P-8ESect-13.1 P-9ESect-13.1 P-10E

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