Use Stokes’ Theorem to evaluate the flux integral ∫∫(∇×F)·ndS, where F =〈2y, −z, x+y −z〉, S is the cap of the sphere x^2+ y^2+ z^2= 25 for 3 ≤ x ≤ 5 (excluding its base). Assume n points to the outward direction of the sphere.
Use Stokes’ Theorem to evaluate the flux integral ∫∫(∇×F)·ndS, where F =〈2y, −z, x+y −z〉, S is the cap of the sphere x^2+ y^2+ z^2= 25 for 3 ≤ x ≤ 5 (excluding its base). Assume n points to the outward direction of the sphere.
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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Use Stokes’ Theorem to evaluate the flux integral
∫∫(∇×F)·ndS, where F =〈2y, −z, x+y −z〉, S is the cap of the sphere x^2+ y^2+ z^2= 25 for 3 ≤ x ≤ 5 (excluding its base).
Assume n points to the outward direction of the sphere.
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