$10\mathrm{.}3\mathrm{.}4$ Water flows over the bump in the bottom of the rectangular channel shown in Fig. P$10\mathrm{.}3\mathrm{.}4$ with a flowrate per unit width of $q=4\frac{m^2}{s}.$ The channel bottom contour is given by $=0\mathrm{.}2,$ where and $x$ are in meters. The water depth far upstream of the bump is $=0\mathrm{.}4m.$ Plot agraph of the water depth, $y=y(x),$ and the surface elevation, $z=z(x),$ for $-4m4m.$ Assume one$-$dimensional flow.