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Evaluate ffs (V x A) ndS where A = (y - z+2)i + (yz + 4)j - xzk and S is the surface of (a) the hemisphere x² + y² + z² = - 16 above the xy plane and (b) the paraboloid z = 4 - (x² + y²) above the xy plane. Solution: .

Evaluate ffs (V x A) ndS where A = (y - z+2)i + (yz + 4)j - xzk and S is the surface of (a) the hemisphere x² + y² + z² = - 16 above the xy plane and (b) the paraboloid z = 4 - (x² + y²) above the xy plane. Solution: .

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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Evaluate ffs (V x A) ndS where A (y- z+ 2)i + (yz + 4)j - xzk and S is the surface of (a) the hemisphere x² + y² + z² = 16 above the xy plane - and (b) the paraboloid z = 4 - (x² + y2) above the xy plane. Solution: S6.65a x² + y² + z² = 16 S x² + y² = 16 X . n S y
Transcribed Image Text:Evaluate ffs (V x A) ndS where A (y- z+ 2)i + (yz + 4)j - xzk and S is the surface of (a) the hemisphere x² + y² + z² = 16 above the xy plane - and (b) the paraboloid z = 4 - (x² + y2) above the xy plane. Solution: S6.65a x² + y² + z² = 16 S x² + y² = 16 X . n S y
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