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The following figure shows a half-cylindrical closed surface, defined by the cylinder x² + y² = 4 and the planes y = 0, z = 1 and z=6. For the vector field V = xyi − yj+zk, find the flux out of the half- cylinder through the flat surface at z = 6. z=6 +y² = 4 y=0- (xz-plane) -z = 1

The following figure shows a half-cylindrical closed surface, defined by the cylinder x² + y² = 4 and the planes y = 0, z = 1 and z=6. For the vector field V = xyi − yj+zk, find the flux out of the half- cylinder through the flat surface at z = 6. z=6 +y² = 4 y=0- (xz-plane) -z = 1

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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The following figure shows a half-cylindrical closed surface, defined by the cylinder x +y° = 4 and the planes y = 0, z=1 and z=6. For the vector field V = xyi – yj+zk, find the flux out of the half- cylinder through the flat surface at z = 6. z = 6 x² + y²: = 4 y = 0 (xz-plane) -z = 1
Transcribed Image Text:The following figure shows a half-cylindrical closed surface, defined by the cylinder x +y° = 4 and the planes y = 0, z=1 and z=6. For the vector field V = xyi – yj+zk, find the flux out of the half- cylinder through the flat surface at z = 6. z = 6 x² + y²: = 4 y = 0 (xz-plane) -z = 1
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