6.2. Let F be a vector field defined on all of R°, except at the two points p = (2,0,0) and q = (-2,0,0). Let S1, S2, and S be the following spheres, centered at (2,0,0), (–2,0,0), and (0,0, 0), respectively, each oriented by the outward normal. S1: (r – 2)2 +y + z² = 1 S2: (r+2)² + y² + z² = 1 1² + y? + z? = 25 S: Assume that V -F = 0. If [fs, F - dS = 5 and Sfs F- dS = 6, what is ff, F - dS?
6.2. Let F be a vector field defined on all of R°, except at the two points p = (2,0,0) and q = (-2,0,0). Let S1, S2, and S be the following spheres, centered at (2,0,0), (–2,0,0), and (0,0, 0), respectively, each oriented by the outward normal. S1: (r – 2)2 +y + z² = 1 S2: (r+2)² + y² + z² = 1 1² + y? + z? = 25 S: Assume that V -F = 0. If [fs, F - dS = 5 and Sfs F- dS = 6, what is ff, F - dS?
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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