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8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector field (x² + z)i + (y² + 2x)j + (z² − y)k and the curve C which is the intersection of the sphere x² + y² + z²2 cone z F = = 1 with the x² + y² in the counterclockwise direction as viewed from above.

8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector field (x² + z)i + (y² + 2x)j + (z² − y)k and the curve C which is the intersection of the sphere x² + y² + z²2 cone z F = = 1 with the x² + y² in the counterclockwise direction as 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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8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector field (x² + z)i + (y² + 2x)j + (z² − y)k and the curve C which is the intersection of the sphere x² + y² + z² cone z F = = 1 with the x² + y² in the counterclockwise direction as viewed from above.
Transcribed Image Text:8. Use (a) parametrization; (b) Stokes' Theorem to compute fF.dr for the vector field (x² + z)i + (y² + 2x)j + (z² − y)k and the curve C which is the intersection of the sphere x² + y² + z² cone z F = = 1 with the x² + y² in the counterclockwise direction as viewed from above.
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