If F = 3zi + 4xj + 2yk and the boundary of the portion of the paraboloid for which z 2 0. C is the interaction of the paraboloid, z = 4 – x – y? and %3D xy -plane with a counterclockwise orientation looking down the z -axis. Evaluate F. dr by using the Stoke's Theorem.

If F = 3zi + 4xj + 2yk and the boundary of the portion of the paraboloid for which z 2 0. C is the interaction of the paraboloid, z = 4 – x – y? and %3D xy -plane with a counterclockwise orientation looking down the z -axis. Evaluate F. dr by using the Stoke's Theorem.

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

If F = 3zi + 4xj + 2yk and the boundary of the portion of the paraboloid for
which z 2 0. C is the interaction of the paraboloid, z = 4 – x – y? and
%3D
xy -plane with a counterclockwise orientation looking down the z -axis.
Evaluate
F. dr
by using the Stoke's Theorem.

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