Chapter 13, Problem 6RCC

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

(a) What is the definition of curvature?

(b) Write a formula for curvature in terms of **r***'*(*t*) and **T***'*(*t*).

(c) Write a formula for curvature in terms of **r***'*(*t*) and **r***"*(*t*).

(d) Write a formula for the curvature of a plane curve with equation *y* = *f*(*x*).

**(a)**

To determine

**To define:** The curvature.

Explanation

The curvature of a curve

**(b)**

To determine

**To find:** A formula for curvature in terms of

**(c)**

To determine

**To find:** A formula for curvature in terms of

**(d)**

To determine

**To find:** A formula for curvature of a plane with equation

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