A vector field is defined in spherical coordinates by (₁0,0)=re, +²sin deg + rep What option gives the divergence of F? A. 7₁ F = r² cos 0 + 1 B.V.F=2r cos 0+3 2 sin 0 C. V. F= sine + 4/² + ce-sine cas ) D. J. F=( cas @ +1 1 E.V. F²r sine + r + sine

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A vector field is defined in spherical coordinates by
+ (r, o, p) = re₁ + r²sin deg + rep
What option gives the divergence of F?
A.M. F = r² cos 0 + 1
B.V.F = 2r cos 0+3
C. V. F = sine + 4/² + ce-sine Cos
2
cose
2 sine
AU
D. G
7. F= r cos 0 +
1
E. V. F= (sing + r + sine
Transcribed Image Text:A vector field is defined in spherical coordinates by + (r, o, p) = re₁ + r²sin deg + rep What option gives the divergence of F? A.M. F = r² cos 0 + 1 B.V.F = 2r cos 0+3 C. V. F = sine + 4/² + ce-sine Cos 2 cose 2 sine AU D. G 7. F= r cos 0 + 1 E. V. F= (sing + r + sine
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