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F = e* ((1+xy), x²) and C:r(t) = (cost, 2sin t) Conservation, Independence Path a) Determine whether F is conserve b) Find a function f such that F = Vf b) Evaluate |F ·dr along the curve C

F = e* ((1+xy), x²) and C:r(t) = (cost, 2sin t) Conservation, Independence Path a) Determine whether F is conserve b) Find a function f such that F = Vf b) Evaluate |F ·dr along the curve C

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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F = e* ((1+ xy), x²) and C:r(t) = (cost, 2 sin t) Conservation, Independence Path a) Determine whether F is conserve b) Find a function fsuch that F = Vf b) Evaluate | F dr along the curve C
Transcribed Image Text:F = e* ((1+ xy), x²) and C:r(t) = (cost, 2 sin t) Conservation, Independence Path a) Determine whether F is conserve b) Find a function fsuch that F = Vf b) Evaluate | F dr along the curve C
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