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Concept explainers
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.
a. If F = 〈–y, x〉 and C is the circle of radius 4 centered at (1.0) oriented counterclockwise, then
b. If F = 〈x, –y) and C is the circle of radius 4 centered at (1, 0) oriented counterclockwise, then
c. A constant
d. The vector field F = 〈f(x), g(y)〉 is conservative on ¡2 (assume f and g are defined for all real numbers).
e. Gradient fields are conservative.
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Chapter 14 Solutions
Calculus: Early Transcendentals, 2nd Edition
- Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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