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LHS KHS a) VERIFY STOKES THEOREM § ³. d² = SS (vxv).d² by showing the LHS = RHS for the vector field √ = (xz, yz, xy) such that S is the part of the Sphere x² +4² +2²=16 that lies above the X-Y plane (x, y, 2), that is, the plane z = ₂₁. b) Verify again, the theorem, for the same vector field ✓ such that S is the part of the sphere x² + y² +2²=16 that lies below the X-Y plane (x, y, z), that is below the plane z = 2

LHS KHS a) VERIFY STOKES THEOREM § ³. d² = SS (vxv).d² by showing the LHS = RHS for the vector field √ = (xz, yz, xy) such that S is the part of the Sphere x² +4² +2²=16 that lies above the X-Y plane (x, y, 2), that is, the plane z = ₂₁. b) Verify again, the theorem, for the same vector field ✓ such that S is the part of the sphere x² + y² +2²=16 that lies below the X-Y plane (x, y, z), that is below the plane z = 2

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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} Q1. a) VERIFY STOKES т неочень LHS RHS $v.d² = SS (vxv ) .d ³ V.dr by showing the LHS = RHS for the vector field √ = (xz, yz, xy) such that S is the part of the Sphere x² +4² +2²=16 that lies above the X-Y plane (x, y, z), that is, the plane z = 2. b) Verify again, the theorem, for the same vector frald V such that S is the part of the sphere x² + y² +2²=16 that lies below the X-Y plane (x, y, z), that is, belm the plane z = 2
Transcribed Image Text:} Q1. a) VERIFY STOKES т неочень LHS RHS $v.d² = SS (vxv ) .d ³ V.dr by showing the LHS = RHS for the vector field √ = (xz, yz, xy) such that S is the part of the Sphere x² +4² +2²=16 that lies above the X-Y plane (x, y, z), that is, the plane z = 2. b) Verify again, the theorem, for the same vector frald V such that S is the part of the sphere x² + y² +2²=16 that lies below the X-Y plane (x, y, z), that is, belm the plane z = 2
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