In an incompressible and steady 3D flow, u = x3 + z6 + 6 and v = y3 + z4. Determine z component of velocity that satisfies continuity equation.

1
w = -3z(x2 + y2)
2
w = 3y(x2 + z2)
3
w = -3x(y2 + z2)
4
w = 3(x2 + y2)

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