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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

True or False? In Exercises 91–94, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If *f*, *g,* and *h* are first-degree polynomial functions, then the curve given by *x* = *f*(*t*), *y* = *g*(*t*) and *z = h*(*t*) is a line.

To determine

Whether the provided statement is true or false “If

Explanation

**Given:**

If

If

The vector function

Thus, the provided statement is __true__.

For- example- let the vector function,

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P-27ESect-12.5 P-28ESect-12.5 P-29ESect-12.5 P-30ESect-12.5 P-31ESect-12.5 P-32ESect-12.5 P-33ESect-12.5 P-34ESect-12.5 P-35ESect-12.5 P-36ESect-12.5 P-37ESect-12.5 P-38ESect-12.5 P-39ESect-12.5 P-40ESect-12.5 P-41ESect-12.5 P-42ESect-12.5 P-43ESect-12.5 P-44ESect-12.5 P-45ESect-12.5 P-46ESect-12.5 P-47ESect-12.5 P-48ESect-12.5 P-49ESect-12.5 P-50ESect-12.5 P-51ESect-12.5 P-52ESect-12.5 P-53ESect-12.5 P-54ESect-12.5 P-55ESect-12.5 P-56ESect-12.5 P-57ESect-12.5 P-58ESect-12.5 P-59ESect-12.5 P-60ESect-12.5 P-61ESect-12.5 P-62ESect-12.5 P-63ESect-12.5 P-64ESect-12.5 P-65ESect-12.5 P-66ESect-12.5 P-67ESect-12.5 P-68ESect-12.5 P-69ESect-12.5 P-70ESect-12.5 P-71ESect-12.5 P-72ESect-12.5 P-73ESect-12.5 P-74ESect-12.5 P-75ESect-12.5 P-76ESect-12.5 P-77ESect-12.5 P-78ESect-12.5 P-79ESect-12.5 P-80ESect-12.5 P-81ESect-12.5 P-82ESect-12.5 P-83ESect-12.5 P-84ESect-12.5 P-85ESect-12.5 P-86ESect-12.5 P-87ESect-12.5 P-88ESect-12.5 P-89ESect-12.5 P-90ESect-12.5 P-91ESect-12.5 P-92ESect-12.5 P-93ESect-12.5 P-94ESect-12.5 P-95ESect-12.5 P-96ECh-12 P-1RECh-12 P-2RECh-12 P-3RECh-12 P-4RECh-12 P-5RECh-12 P-6RECh-12 P-7RECh-12 P-8RECh-12 P-9RECh-12 P-10RECh-12 P-11RECh-12 P-12RECh-12 P-13RECh-12 P-14RECh-12 P-15RECh-12 P-16RECh-12 P-17RECh-12 P-18RECh-12 P-19RECh-12 P-20RECh-12 P-21RECh-12 P-22RECh-12 P-23RECh-12 P-24RECh-12 P-25RECh-12 P-26RECh-12 P-27RECh-12 P-28RECh-12 P-29RECh-12 P-30RECh-12 P-31RECh-12 P-32RECh-12 P-33RECh-12 P-34RECh-12 P-35RECh-12 P-36RECh-12 P-37RECh-12 P-38RECh-12 P-39RECh-12 P-40RECh-12 P-41RECh-12 P-42RECh-12 P-43RECh-12 P-44RECh-12 P-45RECh-12 P-46RECh-12 P-47RECh-12 P-48RECh-12 P-49RECh-12 P-50RECh-12 P-51RECh-12 P-52RECh-12 P-53RECh-12 P-54RECh-12 P-55RECh-12 P-56RECh-12 P-57RECh-12 P-58RECh-12 P-59RECh-12 P-60RECh-12 P-61RECh-12 P-62RECh-12 P-63RECh-12 P-64RECh-12 P-65RECh-12 P-66RECh-12 P-67RECh-12 P-68RECh-12 P-69RECh-12 P-70RECh-12 P-71RECh-12 P-1PSCh-12 P-2PSCh-12 P-3PSCh-12 P-4PSCh-12 P-5PSCh-12 P-6PSCh-12 P-7PSCh-12 P-8PSCh-12 P-9PSCh-12 P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

Single Variable Calculus

Multivariable Calculus

Calculus: Early Transcendentals

Single Variable Calculus: Early Transcendentals

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Applied Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendental Functions

Calculus of a Single Variable

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

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculus: An Applied Approach (MindTap Course List)

Contemporary Mathematics for Business & Consumers

Mathematical Excursions (MindTap Course List)

Mathematical Applications for the Management, Life, and Social Sciences

Essentials Of Statistics

Statistics for The Behavioral Sciences (MindTap Course List)

Elements Of Modern Algebra

Probability and Statistics for Engineering and the Sciences

Understanding Basic Statistics

Intermediate Algebra

Elementary Technical Mathematics

Elementary Geometry For College Students, 7e

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

Trigonometry (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students

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

Calculus (MindTap Course List)

Multivariable Calculus

Study Guide for Stewart's Multivariable Calculus, 8th

College Algebra (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Research Methods for the Behavioral Sciences (MindTap Course List)

Mathematics For Machine Technology

Mathematics: A Practical Odyssey

Introduction To Statistics And Data Analysis

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

Research Methods for the Behavioral Sciences (MindTap Course List)