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the z-axis and above the x-y plane. Use Stokes' Theorem to calculate the circulation of F = (x + y?, 2x3 – yz, -y² + 3x²y+ z) around the boundary of S (a half-ellipse) in the counter-clockwise direction when viewed from above.

the z-axis and above the x-y plane. Use Stokes' Theorem to calculate the circulation of F = (x + y?, 2x3 – yz, -y² + 3x²y+ z) around the boundary of S (a half-ellipse) in the counter-clockwise direction when viewed from above.

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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Let S be the portion of the plane z = 2x that is inside the cylinder of radius R centered around the z-axis and above the x-y plane. Use Stokes' Theorem to calculate the circulation of – yz, -y² + 3x²y+ z) ,2, F (x + y², 2x³ around the boundary of S (a half-ellipse) in the counter-clockwise direction when viewed from above.
Transcribed Image Text:Let S be the portion of the plane z = 2x that is inside the cylinder of radius R centered around the z-axis and above the x-y plane. Use Stokes' Theorem to calculate the circulation of – yz, -y² + 3x²y+ z) ,2, F (x + y², 2x³ around the boundary of S (a half-ellipse) in the counter-clockwise direction when viewed from above.
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