Chapter 12, Problem 69RE

### Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

Chapter
Section

### Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem
1 views

# Finding Curvature in Rectangular Coordinates In Exercises 69–72, find the curvature and radius of curvature of the plane curve at the given value of x. y = ln x ,         x = 1

To determine

To calculate: The curvature and radius of curvature of the plane curve, y=lnx at x=1 value.

Explanation

Given:

The function of plane curve is, y=lnx.

Formula used:

The curvature in plane is,

k=|y|[1+(y)2]32

Calculation:

The function of plane curve,

y=lnx

Differentiate the above equation with respect to y,

y=1x and y=1x2

Substitute x=1 in the above equation,

y=1

And

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