Let F(x, y, z) =< x, y, z>, E is the unit ball x² + y² + z² ≤ 1. Verify the Divergence Theorem by evaluating the following directly. (a). ff divF dv. (b). ffs F. ds.
Let F(x, y, z) =< x, y, z>, E is the unit ball x² + y² + z² ≤ 1. Verify the Divergence Theorem by evaluating the following directly. (a). ff divF dv. (b). ffs 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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Transcribed Image Text:Let F(x, y, z) =< x, y, z>, E is the unit ball x² + y² + z² ≤ 1. Verify the Divergence Theorem by evaluating the
following directly.
(a). fff divF dv.
(b). ffs F.ds.
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