Use Stokes' theorem to evaluate // (V × F) · dS where F(x, y, z) = −12yzi + 12xzj + 19(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 × F) · dS where F(x, y, z) = −12yzi + 12xzj + 19(x² + y²)zk and S is the part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 28E
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