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Show that the vector field F = (xy² + 3x²y)i + (x + y)x²j is conservative, and calculate F. dr for the curve C consisting of line segments from (1, 1) to (0, 2) to (3,0). Take a picture of your work and upload it!

Show that the vector field F = (xy² + 3x²y)i + (x + y)x²j is conservative, and calculate F. dr for the curve C consisting of line segments from (1, 1) to (0, 2) to (3,0). Take a picture of your work and upload it!

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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Show that the vector field F = (xy² + 3x²y)i + (x + y)x²j is conservative, and calculate F. dr for the curve C consisting of line segments from (1, 1) to (0, 2) to (3,0). Take a picture of your work and upload it!
Transcribed Image Text:Show that the vector field F = (xy² + 3x²y)i + (x + y)x²j is conservative, and calculate F. dr for the curve C consisting of line segments from (1, 1) to (0, 2) to (3,0). Take a picture of your work and upload it!
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