$(3$ pts$)$ Outline the steps that are needed to solve GVF$.$ Make sure that you show the equations that are used.

$(3\mathrm{.}5$ pts$)$ A very long trapezoidal channel has $ab=20ft,z=1\mathrm{.}5,S=0\mathrm{.}002$ and $n=0\mathrm{.}035.$ The steady state flow rate is $700$ cfs$.$ The channel terminates at a dam with a measured water surface depth of $10$ feet. What are the points of control? Is the flow supercritical or subcritical? Calculate the water surface profile using the direct step procedure. What is the length of the channel? Sketch the water expected water surface profile.

$(3\mathrm{.}5pts)$ A very long rectangular channel has a $b=5ft,S=0\mathrm{.}01$ and $n=0\mathrm{.}015.$ The steady state flow rate is $250cfs.$ This reach is connected to a steep reach on the downstream end. What are the points of control? Is the flow supercritical or subcritical? Calculate the water surface profile using the direct step procedure. What is the length of the channel? Sketch the water expected water surface profile.