Find the flux of the following vector field across the given surface with the specified orientation. Use either an explicit or a parametric description of the surface. F = (-y,x,1) across the cylinder y = 3x², for 0≤x≤ 1,0 ≤z≤ 4; normal vectors point in the general direction of the positive y-axis. The flux is. (Simplify your answer.) C
Find the flux of the following vector field across the given surface with the specified orientation. Use either an explicit or a parametric description of the surface. F = (-y,x,1) across the cylinder y = 3x², for 0≤x≤ 1,0 ≤z≤ 4; normal vectors point in the general direction of the positive y-axis. The flux is. (Simplify your answer.) C
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 following vector field across the given surface with the specified orientation. Use either an explicit or a parametric description of the surface.
F = (-y,x,1) across the cylinder y = 3x², for 0≤x≤ 1,0 ≤z≤ 4; normal vectors point in the general direction of the positive y-axis.
The flux is.
(Simplify your answer.)
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80abecbd-6410-4598-8f35-cfa5cbfc14cf%2F65ea7d9b-27ee-4266-9444-6ea7a4c0092c%2Filxng7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the flux of the following vector field across the given surface with the specified orientation. Use either an explicit or a parametric description of the surface.
F = (-y,x,1) across the cylinder y = 3x², for 0≤x≤ 1,0 ≤z≤ 4; normal vectors point in the general direction of the positive y-axis.
The flux is.
(Simplify your answer.)
C
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