Please solve asap. My deadline is very close The nux of the curl of the vector field F(x, y, z) = (y², x, z² - 3xy) through thesurface Σ {(x, y, z) E R³: == = x² + y², z ≤ 4}, oriented such that its normalvector forms an acute angle with the positive z half-axis, takes value:(A) 0(B) 4T(C) -87(D) 167

Answered: The nux of the curl of the vector field…

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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The nux of the curl of the vector field F(x, y, z) = (y², z, z² - 3xy) through the surface Σ {(x, y, z) € R³: z = x² + y², z ≤ 4}, oriented such that its normal vector forms an acute angle with the positive z half-axis, takes value: (A) 0 (B) 4T (C) -87 (D) 167