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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

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Finding Curvature in Rectangular Coordinates In Exercises 41-48, find the curvature and radius of curvature of the plane curve at the given value of x.

To determine

**To Calculate:** The curvature and radius of curvature of plane curve

Explanation

**Given:**

The equation of the plane curve

**Formula Used:**

The formula for the curvature *K* of smooth curve *C* is given by:

**Calculation:**

If *C* is smooth curve given by *K* of *C* is given by

Consider the given equation of plane curve

Apply the first derivative in the above equation of plane curve and get

Apply the second derivative in the above equation of plane curve and get

Apply the formula for the curvature,

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