sider the vector field F (4x + 7y, 7x + 3y). O The vector field is not conservative O The vector field is conservative, and the potential function such that f(0, 0) = 0 for F is %3D f(z, y) = %3D If F is conservative, use f(r, y) to evaluate F. dr along a piecewise smooth curve (C) from (4,-5) to (2,0). F. di = estion Help: Video Message instructor D Post to forum Add Work Submit Question

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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Conservative vector field, potential function, and Fundamental Theorem for Line Integrals
Consider the vector field F = (4x + 7y, 7x + 3y).
O The vector field is not conservative
The vector field is conservative, and the potential function such that f(0, 0) = 0 for F is
f(z, y) =
If F is conservative, use f(x, y) to evaluate
F dr along a piecewise smooth curve (C) from
(4,-5) to (2,0).
F.df =
Question Help: Video Message instructor D Post to forum
Add Work
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Transcribed Image Text:Conservative vector field, potential function, and Fundamental Theorem for Line Integrals Consider the vector field F = (4x + 7y, 7x + 3y). O The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0) = 0 for F is f(z, y) = If F is conservative, use f(x, y) to evaluate F dr along a piecewise smooth curve (C) from (4,-5) to (2,0). F.df = Question Help: Video Message instructor D Post to forum Add Work Submit Question
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