Given the vector field E = 4zy² cos 2xa, +2zy sin 2xay + y² sin 2xa₂ for the region [x], [y], and [z] less than 2, find (a) the surfaces on which Ey = 0; (b) the region in which Ey = E₂; (c) the region in which E = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Vector analysis

Given the vector field E = 4zy? cos 2xa, + 2zy sin 2xa, + y sin 2xa, for
the region |x], |yl, and |z| less than 2, find (a) the surfaces on which
E, = 0; (b) the region in which E, = E;;(c) the region in which E = 0.
%3D
Transcribed Image Text:Given the vector field E = 4zy? cos 2xa, + 2zy sin 2xa, + y sin 2xa, for the region |x], |yl, and |z| less than 2, find (a) the surfaces on which E, = 0; (b) the region in which E, = E;;(c) the region in which E = 0. %3D
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