explain the following concept

$5\mathrm{.}4.$ For the pattern $w-2z^2,$ determine the magnitude and direction of the velocity at the point $(3,2)($Fig$.5\mathrm{.}12).$

$\frac{dw}{(d)z}-4z-u-iv$

:$.,u-iv=4(3+2i)=12+8i$

:$.,u=12,v=-8,|V|-\sqrt[\phantom{2}]{?}(u^2+v^2)-14*4$

$-ta{n}^{-1}(\frac{v}{u})-ta{n}^{-1}(-0\mathrm{.}67)--34{54}^{\text{'}}$

Figure $5\mathrm{.}12-$Pattern of flow for the

transformation $w=2z^2$