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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Finding Intervals on Which a Curve Is Smooth In Exercises 29–38, find the open interval(s) on which the curve given by the vector-valued function is smooth.

To determine

**To calculate:** The open intervals on which the curve given by the vector-valued function

Explanation

**Given:**

The vector-valued function,

**Calculation:**

The curve represented by a vector-valued function,

*I* when *I* and *t* in the interval *I*.

Consider the vector-valued function,

Differentiate the above function component-by-component to get the derivative as,

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Single Variable Calculus: Early Transcendentals, Volume I

Calculus (MindTap Course List)

Calculus: An Applied Approach (MindTap Course List)

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus of a Single Variable

Single Variable Calculus

Applied Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendental Functions

Multivariable Calculus

Single Variable Calculus: Early Transcendentals

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

Calculus: Early Transcendentals

Essentials Of Statistics

Intermediate Algebra

Mathematical Applications for the Management, Life, and Social Sciences

Contemporary Mathematics for Business & Consumers

Probability and Statistics for Engineering and the Sciences

Mathematical Excursions (MindTap Course List)

Understanding Basic Statistics

Trigonometry (MindTap Course List)

Elementary Technical Mathematics

Elementary Geometry For College Students, 7e

Statistics for The Behavioral Sciences (MindTap Course List)

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

Finite Mathematics

Elements Of Modern Algebra

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students

Multivariable Calculus

Study Guide for Stewart's Multivariable Calculus, 8th

Calculus (MindTap Course List)

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

Research Methods for the Behavioral Sciences (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Statistics for Business & Economics, Revised (MindTap Course List)

Introduction To Statistics And Data Analysis

Research Methods for the Behavioral Sciences (MindTap Course List)

College Algebra (MindTap Course List)

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