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The divergence of a vector field over a region can tell us about the flux across closed curves, and using the visual information from a sketch, we can get a sense of a vector field. Take a look at the sketch below, of a y-dependent horizontal vector field. Can we say anything about the divergence of this vector field? O The vector field is sourceless. O The vector field has positive divergence everywhere. O The vector field has negative divergence everywhere. O The divergence is positive/negative/zero depending on where we are in the region.

The divergence of a vector field over a region can tell us about the flux across closed curves, and using the visual information from a sketch, we can get a sense of a vector field. Take a look at the sketch below, of a y-dependent horizontal vector field. Can we say anything about the divergence of this vector field? O The vector field is sourceless. O The vector field has positive divergence everywhere. O The vector field has negative divergence everywhere. O The divergence is positive/negative/zero depending on where we are in the region.

Advanced Engineering Mathematics
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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The divergence of a vector field over a region can tell us about the flux across closed curves, and using the visual information from a sketch, we can get a sense of a vector field. Take a look at the sketch below, of a y-dependent horizontal vector field. Can we say anything about the divergence of this vector field? O The vector field is sourceless. O The vector field has positive divergence everywhere. O The vector field has negative divergence everywhere. O The divergence is positive/negative/zero depending on where we are in the region.
Transcribed Image Text:The divergence of a vector field over a region can tell us about the flux across closed curves, and using the visual information from a sketch, we can get a sense of a vector field. Take a look at the sketch below, of a y-dependent horizontal vector field. Can we say anything about the divergence of this vector field? O The vector field is sourceless. O The vector field has positive divergence everywhere. O The vector field has negative divergence everywhere. O The divergence is positive/negative/zero depending on where we are in the region.
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