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    Divergence and Curl of a Vector Field

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    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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    https://brainmass.com/math/vector-calculus/divergence-curl-vector-field-245410

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