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

For Paraboloid coordinates $\{u,v,\}$

$x=$uvcos$,y=$uvsin$,z=\frac{1}{2}(u^2-v^2)$;$u0,v0,0<mn\; id="EditorElement\_2212627">2</mn><mi\; id="EditorElement\_2212629"></mi>$

$1-$ Register in Wolfram cloud

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

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

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

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