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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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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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