Find the divergence of the vector field F = yr³i+xz²³j + zy³k. div F=
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- Find the divergence of the vector field and give clear explanationsWhy does a two-dimensional vector field with zero divergence ona region have zero outward flux across a closed curve that boundsthe region?Knowing that the vector field given by the image function is conservative, determine its potential function.
- Find a potential for the field attached Also does finding the potential for the vector field show that it is conservativeFind the divergence of the vector field F→(x,y,z)=xyzi→−yzj→+xzk→at the point (8,3,2) . Enter the exact answer. divF→(8,3,2)=Provide two examples of physical phenomena in which the divergence of a vector field is nonzero.