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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:**Problem 3.32**: Let \(\mathbf{D} = 2\rho z^2 \mathbf{a}_\rho + \rho \cos^2 \phi \mathbf{a}_z\).
Evaluate:
(a) \(\oint_{S} \mathbf{D} \cdot d\mathbf{S}\)
(b) \(\int_{V} \nabla \cdot \mathbf{D} \, dv\)
over the region defined by \(0 \leq \rho \leq 5\), \(-1 \leq z \leq 1\), \(0 < \phi < 2\pi\).
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