Consider the vector field F = (2x + 6y, 6x + 4y). Is this vector field Conservative? Conservative Use method of your choice to evaluate L.F. [ P. d² = [ F.dr F. dr along the curve C: r(t) = t²i + t³j, for 0 ≤ t ≤ 1.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the vector field F = (2x + 6y, 6x + 4y).
Is this vector field Conservative? Conservative
Use method of your choice to evaluate
•[ F. dr along the curve C: r(t) = t²i + t³j, for 0 ≤ t ≤ 1.
[ P. d² = [
F.dr
Transcribed Image Text:Consider the vector field F = (2x + 6y, 6x + 4y). Is this vector field Conservative? Conservative Use method of your choice to evaluate •[ F. dr along the curve C: r(t) = t²i + t³j, for 0 ≤ t ≤ 1. [ P. d² = [ F.dr
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