Let F = 0, z, 1. Let S be the spherical cap x2 + y2 + z2 1, where z 1 2 . Evaluate S F
Chapter 17, Problem 18(choose chapter or problem)
Let F = 0, z, 1. Let S be the spherical cap x2 + y2 + z2 1, where z 1 2 . Evaluate S F dS directly as a surface integral. Then verify that F = curl(A), where A = (0,x,xz) and evaluate the surface integral again using Stokes Theorem. 19
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