The two-dimensional velocity field for an incompressible Newtonian fluid is described by the relationship

\[ \mathbf{V}=\left(12 x y^{2}-6 x^{3}\right) \hat{\mathbf{i}}+\left(18 x^{2} y-4 y^{3}\right) \hat{\mathbf{j}} \]

where the velocity has units of \(\mathrm{m} / \mathrm{s}\) when \(x\) and \(y\) are in meters. Determine the stresses \(\sigma_{x x}, \sigma_{y y}\), and \(\tau_{x y}\) at the point \(x=0.5 \mathrm{~m}\), \(y=1.0 \mathrm{~m}\) if pressure at this point is \(6 \mathrm{kPa}\) and the fluid is glycerin at \(20^{\circ} \mathrm{C}\). Show these stresses on a sketch.