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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

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57095-12.5-87E-Question-Digital.docx

True or False? **In Exercises 85-88, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.**

The curvature of a line is 0.

To determine

The statement: “The curvature of a line is 0” is true or false.

Explanation

Consider the provided statement: “The curvature of a line is 0”.

According to definition of curvature, the curvature is the measure of sharpness of bend in any curve.

A straight line doesn’t have any bend thus its curvature becomes zero.

For example, take a line

Apply the formula for the curvature,

Double differentiate

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P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

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