Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C: square with vertices (0, 0), (2, 0), (2, 2), (0, 2) v² dx + x? dy = dA = - ax ây

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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Verify Green's Theorem by evaluating both integrals
Lv² dx + x² dy =
/ /
dA
-
ax
ду
for the given path.
C: square with vertices (0, 0), (2, 0), (2, 2), (0, 2)
| =
y² dx + x² dy
ON
dA =
ду
ax
Transcribed Image Text:Verify Green's Theorem by evaluating both integrals Lv² dx + x² dy = / / dA - ax ду for the given path. C: square with vertices (0, 0), (2, 0), (2, 2), (0, 2) | = y² dx + x² dy ON dA = ду ax
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