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

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The nux of the curl of the vector field F(x, y, z) = (y², x, z² - 3xy) through the
surface Σ {(x, y, z) E R³: == = 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
Transcribed Image Text:The nux of the curl of the vector field F(x, y, z) = (y², x, z² - 3xy) through the surface Σ {(x, y, z) E R³: == = 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
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