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13. Let F = (0, -z, 1). Let S be the spherical cap x² + y² + <1 where z > 1/2. Evaluate F. ds directly. Then verify that F is the curl of A = (0, x, xz) and evaluate the surface integral again using Stokes' theorem.

13. Let F = (0, -z, 1). Let S be the spherical cap x² + y² + <1 where z > 1/2. Evaluate F. ds directly. Then verify that F is the curl of A = (0, x, xz) and evaluate the surface integral again using Stokes' theorem.

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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1/s FdS directly. Then S 13. Let F = (0,-z, 1). Let S be the spherical cap x² + y² + z² <1 where z ≥ 1/2. Evaluate 2 verify that F is the curl of A = (0, x, xz) and evaluate the surface integral again using Stokes' theorem.
Transcribed Image Text:1/s FdS directly. Then S 13. Let F = (0,-z, 1). Let S be the spherical cap x² + y² + z² <1 where z ≥ 1/2. Evaluate 2 verify that F is the curl of A = (0, x, xz) and evaluate the surface integral again using Stokes' theorem.
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