Problem $4)30$ points

A rectangular channel with a width of $5$ m and a water depth of $y$ is carrying flow with Neglecting the effects of friction:

a$)$ Find the water depth when the specific energy of the flow is $E=1\mathrm{.}84m.(15$ points$)$

b$)$ Determine the regime of the flow at this depth. $(10$ points$)$

c$)$ Find the minimum energy $(E_{\text{m}\text{i}\text{n}}).(5$ points$)$