Given velocity field: V = (3x + 2y)i + (2z - 3x²)j + (2t - 3z)k

Question 2b)
Given velocity field: $\mathbf{V} = (3x + 2y)\mathbf{i} + (2z - 3x^2)\mathbf{j} + (2t - 3z)\mathbf{k}$

Step 1: Determine the velocity components u, v, and w.
The velocity vector is given by $\mathbf{V} = u\mathbf{i} + v\mathbf{j} + w\mathbf{k}$.
By comparing the given expression with the general form:

$$u = 3x + 2y$$ $$v = 2z - 3x^2$$ $$w = 2t - 3z$$

These are the velocity components at