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2. Let closed curve C consist of the line segment from (0,0) to (2, 1), followed by the line segment from (2, 1) to (-1, 1), followed by the piece of y = x² from (-1, 1) to (0,0). Also, let F = (-1, x²y²). a) Find [F.TO Tds by integrating F over each piece of C and adding the results.

2. Let closed curve C consist of the line segment from (0,0) to (2, 1), followed by the line segment from (2, 1) to (-1, 1), followed by the piece of y = x² from (-1, 1) to (0,0). Also, let F = (-1, x²y²). a) Find [F.TO Tds by integrating F over each piece of C and adding the results.

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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2. Let closed curve C consist of the line segment from (0, 0) to (2, 1), followed by the line segment from (2, 1) to (-1, 1), followed by the piece of y = x² from (-1, 1) to (0,0). Also, let F = (-1, x²y²). and / F-T [F.Tds by integrating F over each piece of C and adding the results. C a) Find
Transcribed Image Text:2. Let closed curve C consist of the line segment from (0, 0) to (2, 1), followed by the line segment from (2, 1) to (-1, 1), followed by the piece of y = x² from (-1, 1) to (0,0). Also, let F = (-1, x²y²). and / F-T [F.Tds by integrating F over each piece of C and adding the results. C a) Find
2. (continued) [F.1 F.Tds by first converting it to a double integral using Greene's Theorem. C b) Find
Transcribed Image Text:2. (continued) [F.1 F.Tds by first converting it to a double integral using Greene's Theorem. C b) Find
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