9. Use Stokes' Theorem to evaluateF. drwhere F(r, y, 2) = (2 – y) i+ (x + 2)j – (x+ y) k and C is the intersection of the paraboloid z = 2 – 2? – y² and theplane z = 1 with a counterclockwise orientation looking down the positive z-axis.

The given problem is to evalute the contour integral using stokes theorem, where surface C is the…

Answered: 9. Use Stokes' Theorem to evaluate F.…

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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9. Use Stokes' Theorem to evaluate F. dr where F(z, y, 2) = (2 – y) i + (x + 2)j – (x + y) k and C is the intersection of the paraboloid z = 2 – a – y² and the plane z = 1 with a counterclockwise orientation looking down the positive z-axis.