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For each of the given paths, verify Green's Theorem by showing that dA. Also, explain which integral is easier to evaluate. [Verify using Sy²dx + x²dy = f ƏN ƏM dx ду с R Mathematical (1). C: triangle with vertices (0,0), (4,0) and (4,4). (ii). C: circle given by x² + y² = 1.

For each of the given paths, verify Green's Theorem by showing that dA. Also, explain which integral is easier to evaluate. [Verify using Sy²dx + x²dy = f ƏN ƏM dx ду с R Mathematical (1). C: triangle with vertices (0,0), (4,0) and (4,4). (ii). C: circle given by x² + y² = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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For each of the given paths, verify Green's Theorem by showing that [y²dx + x²dy = ff x dA. Also, explain which integral is easier to evaluate. [Verify using ƏN ƏM dx ду R Mathematical (1). C: triangle with vertices (0,0), (4,0) and (4,4). (ii). C: circle given by x² + y² = 1.
Transcribed Image Text:For each of the given paths, verify Green's Theorem by showing that [y²dx + x²dy = ff x dA. Also, explain which integral is easier to evaluate. [Verify using ƏN ƏM dx ду R Mathematical (1). C: triangle with vertices (0,0), (4,0) and (4,4). (ii). C: circle given by x² + y² = 1.
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