3. Consider the following function: x5 + Vx2 + y2 + z2 – 23 f(x,y, z) Vx² + y? Find the symmetry of the function with respect to (1) inversion, (ii) reflection in the xy plane and reflection in the xz (ii) rotation by n around the z axis. Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Consider the following function:
x5
f(x,y,z)
+ Vx2 + y2 +z² – 23
-
Vx2 + y2
Find the symmetry of the function with respect to
(1) inversion,
(ii) reflection in the xy plane and reflection in the xz
(iii) rotation by a around the z axis.
Justify your answer.
Transcribed Image Text:3. Consider the following function: x5 f(x,y,z) + Vx2 + y2 +z² – 23 - Vx2 + y2 Find the symmetry of the function with respect to (1) inversion, (ii) reflection in the xy plane and reflection in the xz (iii) rotation by a around the z axis. Justify your answer.
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