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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

True or False? **In Exercises 73-76, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.**

To determine

Whether the statement “d d t [ ‖ r ( t ) ‖ ] = ‖ r ′ ( t ) ‖ ” is true or false.

Explanation

The provided statement “The definite integral of a vector-valued function is a real number” is false.

Take an example.

Let

Now, find the magnitude of given vector,

Again, differentiate the vector,

Also, Magnitude is:

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

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Calculus: Early Transcendentals

Single Variable Calculus: Early Transcendentals, Volume I

Calculus: Early Transcendental Functions

Precalculus: Mathematics for Calculus (Standalone Book)

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Essentials Of Statistics

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Single Variable Calculus

Finite Mathematics

Mathematical Applications for the Management, Life, and Social Sciences

Mathematical Excursions (MindTap Course List)

Intermediate Algebra

Probability and Statistics for Engineering and the Sciences

Single Variable Calculus: Early Transcendentals

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Trigonometry (MindTap Course List)

Elementary Technical Mathematics

Calculus of a Single Variable

Calculus: Early Transcendental Functions (MindTap Course List)

Elementary Geometry for College Students

Finite Mathematics for the Managerial, Life, and Social Sciences

Multivariable Calculus

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Study Guide for Stewart's Multivariable Calculus, 8th

College Algebra (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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