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4) Verify that Green's theorem is true for f,xy?dx – x²ydy ,where C consists of y = x² from (-1,1) to (1,1) and the line segment from (1,1) to (-1,1). Also evaluate SoV1 + x³ dx + 2xy dy where C is the triangle with vertices (0,0), (1,0) and (1,3).

4) Verify that Green's theorem is true for f,xy?dx – x²ydy ,where C consists of y = x² from (-1,1) to (1,1) and the line segment from (1,1) to (-1,1). Also evaluate SoV1 + x³ dx + 2xy dy where C is the triangle with vertices (0,0), (1,0) and (1,3).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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4) Verify that Green's theorem is true for S, xy²dx – x²ydy ,where C consists of y = x² from (-1,1) to (1,1) and the line segment from (1,1) to (-1,1). Also evaluate SoV1 + x3 dx + 2xy dy where C is the triangle with vertices (0,0), (1,0) and (1,3).
Transcribed Image Text:4) Verify that Green's theorem is true for S, xy²dx – x²ydy ,where C consists of y = x² from (-1,1) to (1,1) and the line segment from (1,1) to (-1,1). Also evaluate SoV1 + x3 dx + 2xy dy where C is the triangle with vertices (0,0), (1,0) and (1,3).
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