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Use the divergence theorem to calculate ff, FdS where F = x²yi - xy² j - xyz k. S is the surface of the solid which is bounded by the hyperboloid x² + y² = z² = 1 and the planes z = 2, z = -2, in the half space y > 0.

Use the divergence theorem to calculate ff, FdS where F = x²yi - xy² j - xyz k. S is the surface of the solid which is bounded by the hyperboloid x² + y² = z² = 1 and the planes z = 2, z = -2, in the half space y > 0.

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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Use the divergence theorem to calculate ff, FdS where F = x²yi - xy² j - xyz k. S is the surface of the solid which is bounded by the hyperboloid x² + y² = z² = 1 and the planes z = 2, z = -2, in the half space y > 0.
Transcribed Image Text:Use the divergence theorem to calculate ff, FdS where F = x²yi - xy² j - xyz k. S is the surface of the solid which is bounded by the hyperboloid x² + y² = z² = 1 and the planes z = 2, z = -2, in the half space y > 0.
Use the divergence theorem to calculate ff, FdS where F = x²yi - xy² j - xyz k. S is the surface of the solid which is bounded by the hyperboloid x² + y² = z² = 1 and the planes z = 2, z = -2, in the half space y > 0.
Transcribed Image Text:Use the divergence theorem to calculate ff, FdS where F = x²yi - xy² j - xyz k. S is the surface of the solid which is bounded by the hyperboloid x² + y² = z² = 1 and the planes z = 2, z = -2, in the half space y > 0.
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