Determine the normal depth for the problems below $($Note that you can use FlowMaster or webbased flow calculators to do iterations in these problems$).$

a$)$ Given a triangular grass channel $($Buffalo grass $($Good stand, uncut $(3$ to $6$ in$.)))$ with the $m=2$ and a channel bed slope of $0\mathrm{.}002,$ find the normal depth if $Q=30\frac{m^3}{s}.$ You can use either the methodology for grass channels given in your book or from the $1^{st}$ edition book that was presented during one of the live sessions. $(8$ points$)$

b$)$ Given a rectangular channel that has a bottom of unfinished concrete and sides of masonry $($dry rubble$),$ find the normal depth if $Q=350cfs.$ The channel slope is $0\mathrm{.}003$ and the bottom width of the channel is $10$ ft $.$ To determine the Manning's $n$ utilize the Einstein and Banks formula. $(7$ points$)$