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Consider the velocity vector field (x,y,z) = (3x^2 -3y^2)i + (-6xy)j. Determine whether or not this flow is derivable from a stream function w(x, y,z).

Consider the velocity vector field (x,y,z) = (3x^2 -3y^2)i + (-6xy)j. Determine whether or not this flow is derivable from a stream function w(x, y,z). If so, calculate this stream function. If not, briefly explain why not

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