Answered: S(curl F) · n dS where F = 4yz i +…

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S(curl F) · n dS where F = 4yz i + 6x j + 5yze x2 k , S is the portion of the paraboloid z = 1 49

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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Question

Use Stokes' Theorem (in reverse) to evaluate

∫

(curl F) · n dS where
F = 4yz i + 6x j + 5yze^x2 k , S is the portion of the paraboloid z =

x² +

y² for 0 ≤ z ≤ 5, and the unit normal on S points away from the z-axis.

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