1. Verify the divergence theorem for: (a) = 4ri - 2y2j+z2k in the cylindrical region r² + y² = 4 bounded below by the ry plane and above by the plane z 3. = (b) = zi− y) + zk in the spherical region r² + y² + 2² = 1. (c) F = zi - 2y² + rk over the region bounded by the paraboloid z = 4-2-y² and the zy plane. ==
1. Verify the divergence theorem for: (a) = 4ri - 2y2j+z2k in the cylindrical region r² + y² = 4 bounded below by the ry plane and above by the plane z 3. = (b) = zi− y) + zk in the spherical region r² + y² + 2² = 1. (c) F = zi - 2y² + rk over the region bounded by the paraboloid z = 4-2-y² and the zy plane. ==
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:1. Verify the divergence theorem for:
(a) = 4ri - 2y2j+z2k in the cylindrical region r² + y² = 4 bounded below by the ry plane and above
by the plane z 3.
=
(b) = zi− y) + zk in the spherical region r² + y² + 2² = 1.
(c) F = zi - 2y² + rk over the region bounded by the paraboloid z = 4-2-y² and the zy plane.
==
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