Use Stokes' theorem to evaluate (V x F) - ds where F(x, y, z) = −6yzi + 6xzj + 11(x² + y²)zk and S is the part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.
Use Stokes' theorem to evaluate (V x F) - ds where F(x, y, z) = −6yzi + 6xzj + 11(x² + y²)zk and S is the part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.
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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(V x F). dS where F(x, y, z) = -6yzi + 6xzj + 11(x² + y²)zk and S is the part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.
Use Stokes' theorem to evaluate
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