Use Green's Theorem to evaluate Ja F. dr, where F = √x + 5y, 4x + √y) and C consists of the arc of the curve y = 2x − x² from (0,0) to (2,0) and the line segment from (2,0) to (0,0). Hint: Check the orientation of the curve before applying the theorem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6.4.3

Use Green's Theorem to evaluate
F
=
√x + 5y, 4x +
1.F
F. dr, where
=
and C consists of the arc of the curve y
to (0,0).
2x - x² from (0,0) to (2,0) and the line segment from (2,0)
Hint: Check the orientation of the curve before applying the theorem.
Transcribed Image Text:Use Green's Theorem to evaluate F = √x + 5y, 4x + 1.F F. dr, where = and C consists of the arc of the curve y to (0,0). 2x - x² from (0,0) to (2,0) and the line segment from (2,0) Hint: Check the orientation of the curve before applying the theorem.
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