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!

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Any help would be greatly appreciated I have done the question in full on my end and have gotten an answer. Would be amazing if possible just have someone give a detailed answer so I can doublecheck my work that would be great!
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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