In this assignment, we use soft$-$ware packages to build visualizations of different coordinate systems.

For Parabolic cylindrical coordinates $\{u,v,z\}$

$x=\frac{1}{2}(u^2-v^2),y=uv,z=z$;$-=0,-z<mi\; id="EditorElement\_462176"></mi>$

$1-$ Register in Wolfram cloud

$2-$ Use 'ParametricPlot $3$D$\text{'}$ to visualize $uv$ surfaces by taking $z=$ const, for five suitable vales.

$3-$ Use 'ParametricPlot $3$D$\text{'}$ to visualize $uz$ surfaces by taking $v=$ const, for five suitable vales.

$4-$ Use 'ParametricPlot $3$D$\text{'}$ to visualize $vz$ surfaces by taking $u=$ const, for five suitable vales.

$5-$ Change the Mathematica file to PDF$,$ then upload in Black Board.