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
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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