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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

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Determine which of these vector fields are conservative. If a vector field is not
conservative, justify why it is not conservative.
F = (2x3 +2æe=")i+(ỷ — re )j
G = x²yi - xy²j
Ĥ = e¹y cos(x)i + ey sin(y)]
K = (e²² - 2x cos(y))i + (x² sin(y) - 2e ¹)j

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