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Find the flux of the vector field F across the surface S in the indicated direction. 2 F = 3x²j-z²k; S is the portion of the parabolic cylinder y = 3x² for which 0≤z≤2 and -1 ≤x≤ 1; direction is outward (away from the yz-plane) O O A. 12 B. 4 C. -4 D. -12 COL

Find the flux of the vector field F across the surface S in the indicated direction. 2 F = 3x²j-z²k; S is the portion of the parabolic cylinder y = 3x² for which 0≤z≤2 and -1 ≤x≤ 1; direction is outward (away from the yz-plane) O O A. 12 B. 4 C. -4 D. -12 COL

Advanced Engineering Mathematics
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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Find the flux of the vector field F across the surface S in the indicated direction. F = 3x j-z-k; S is the portion of the parabolic cylinder y = 3x for which 0≤z≤2 and -1 ≤x≤ 1; direction is outward (away from the yz-plane) O A. 12 B. 4 C. -4 OD. -12
Transcribed Image Text:Find the flux of the vector field F across the surface S in the indicated direction. F = 3x j-z-k; S is the portion of the parabolic cylinder y = 3x for which 0≤z≤2 and -1 ≤x≤ 1; direction is outward (away from the yz-plane) O A. 12 B. 4 C. -4 OD. -12
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