A vector field is defined in spherical coordinates by F(r,0,0) = r²e, + r sinde, +rep. Select the option that gives the divergence of F. plant
A vector field is defined in spherical coordinates by F(r,0,0) = r²e, + r sinde, +rep. Select the option that gives the divergence of F. plant
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:A vector field is defined in spherical coordinates by
F(r,0,0) = r²e, + r sin be, +rep.
Select the option that gives the divergence of F.
Select one:
OVF4r+
2 cos 0
V.F = ² + sin 0 +
OV.F2r + cos
V.F=r (cos0 + 2)
V.F
=
$
sin
+
1/1/7³3
5
1
sin
+
10-sin cos 0
sin
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