2nd Edition

ISBN: 9781323178522

Author: Briggs

Publisher: PEARSON

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…

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Textbook Question

Chapter 14.5, Problem 39E

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.

a. For a function f of a single variable, if f′(x) = 0 for all x in the domain, then f is a constant function. If ▿ ·F = 0 for all points in the domain, then F is constant.

b. If ▿ × F = 0, then F is constant.

c. A vector field consisting of parallel vectors has zero curl.

d. A vector field consisting of parallel vectors has zero divergence.

e. curl F is orthogonal to F.

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Chapter 14.5, Problem 38E

Chapter 14.5, Problem 40E

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Chapter 14 Solutions

CODE/CALC ET 3-HOLE

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