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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Consider the vector field F and the curve C below.
F(x, y)
(3 + 8xy2)i + 8x²yj,
C is the arc of the hyperbola y = 1/x from (1, 1) to (4,
=
(a) Find a potential function f such that F = Vf.
f(x, y) =
(b) Use part (a) to evaluate
Sc
Vf. dr along the given curve C.

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