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divergence of a vector function

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Given vector function V = xyi +2yzj+3zxk,

what is the divergence of this function?

is the magnitude of the divergence greater at the origin or at (1,1,1)

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It finds the divergence of a vector function. The solution is detailed and was rated '5/5' by the student who posted the questions originally.

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Divergence and Curl of a Vector Field

I need all work shown and step-by-step solution.

1. Consider the vector field v(x,y,z)=(x2,-yx,z-xz).
(a) Compute the divergence and curl of v.
(b) Show that v is neither the gradient of a function nor the curl of a C2 vector field.

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