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Use Green's Theorem to evaluate F. dr, where F = (√x+6y, 4x + √y) C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0). Hint: Check the orientation of the curve before applying the theorem.

Use Green's Theorem to evaluate F. dr, where F = (√x+6y, 4x + √y) C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0). Hint: Check the orientation of the curve before applying the theorem.

Advanced Engineering Mathematics
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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• [F Use Green's Theorem to evaluate F. dr, where F = (√x + 6y, 4x + √√y) C consists of the arc of the curve y = 4x − x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0). Hint: Check the orientation of the curve before applying the theorem.
Transcribed Image Text:• [F Use Green's Theorem to evaluate F. dr, where F = (√x + 6y, 4x + √√y) C consists of the arc of the curve y = 4x − x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0). Hint: Check the orientation of the curve before applying the theorem.
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