For a vector field F = (6yz, 5x, yzet) use Stokes' Theorem to evaluate the surface integral of thecurl of this field along the surface given by the portion of the paraboloidz = x²/4+ y²2 for 0 ≤ ≤ 4 assuming the surface oriented upward.

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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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For a vector field F (6yz, 5x, yze²) use Stokes' Theorem to evaluate the surface integral of the curl of this field along the surface given by the portion of the paraboloid ²/4+ y² for 0