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3. Consider $ -y3 da + a?y dy where curve C is defined by the line segment from (-1,0) to (1,0), followed by the arc of the circle x2 + y? = 1 back to the point (-1,0). (a) Set up the line integral using parameterization. (b) Set up the line integral using Green's Theorem.

3. Consider $ -y3 da + a?y dy where curve C is defined by the line segment from (-1,0) to (1,0), followed by the arc of the circle x2 + y? = 1 back to the point (-1,0). (a) Set up the line integral using parameterization. (b) Set up the line integral using Green's 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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3. Consider -y³ dx + x²y dy where curve C is defined by the line segment from (-1,0) to (1,0), followed by the arc of the circle x2 + y? = 1 back to the point (-1,0). (a) Set up the line integral using parameterization. (b) Set up the line integral using Green's Theorem. (c) Evaluate the line integral using either of your integrals.
Transcribed Image Text:3. Consider -y³ dx + x²y dy where curve C is defined by the line segment from (-1,0) to (1,0), followed by the arc of the circle x2 + y? = 1 back to the point (-1,0). (a) Set up the line integral using parameterization. (b) Set up the line integral using Green's Theorem. (c) Evaluate the line integral using either of your integrals.
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