Find the divergence of the vector field F(x, y, z) = ln(x² + y²)i + xyj+ln(y² + z²)k. 0 21 2z x² + y² 1 x² + y² +*+ i+xj+ x² + y² y² + 22 None of these i+zj+ y² + 2² 1 y² + 2² 1 y² + 2² k k

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 16P
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Find the divergence of the vector field
F(x, y, z) = ln(x² + y²)i + xyj+ln(y² + z²)k.
0
20
2x
x² + y²
1
+*+
i+xj+
i+j+
None of these
2² + y²
y² + 22
+I+
y² + 2²
1
y² + 2²
1
y² + 22
k
k
Transcribed Image Text:Find the divergence of the vector field F(x, y, z) = ln(x² + y²)i + xyj+ln(y² + z²)k. 0 20 2x x² + y² 1 +*+ i+xj+ i+j+ None of these 2² + y² y² + 22 +I+ y² + 2² 1 y² + 2² 1 y² + 22 k k
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