Verify Stokes' theorem [F. dr = [₁ V x F. VXF ndS where F = (yz, -xz, cy), S is the part of the surface z = x² + y² that lies within the cylinder x² + y² = 1, with the upward orientation, and C is the boundary of S. That is, calculate, in this - special case, the line integral on the left side, calculate the flux on the right side, and observe those are the same numbers.
Verify Stokes' theorem [F. dr = [₁ V x F. VXF ndS where F = (yz, -xz, cy), S is the part of the surface z = x² + y² that lies within the cylinder x² + y² = 1, with the upward orientation, and C is the boundary of S. That is, calculate, in this - special case, the line integral on the left side, calculate the flux on the right side, and observe those are the same numbers.
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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