Use Green's Theorem to evaluate: LE F.n ñ ds where F =(√x + 5y, 2x + 5y) and C is the boundary of the region enclosed by y = 2x - x² and the x-axis (oriented positively).
Use Green's Theorem to evaluate: LE F.n ñ ds where F =(√x + 5y, 2x + 5y) and C is the boundary of the region enclosed by y = 2x - x² and the x-axis (oriented positively).
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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5.4.10
Transcribed Image Text:Use Green's Theorem to evaluate:
Ja
F.ñ ds
=
where F = (√x + 5y, 2x + 5y) and C is the boundary of the region enclosed by y
the x-axis (oriented positively).
2x
x² and
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