A rectangular channel connects two reservoirs and has a slope of $0\mathrm{.}001.$ The channel has awidth of $10$ m and a Manning n of $0\mathrm{.}03.$ If the upstream reservoir surface is $3\mathrm{.}5$ m above theinvert of the outlet,$($a$)$ determine the discharge in the channel.$($b$)$ Given the same channel which is hydraulically mild and that it is $240$ m long, show thatfor a Q$=75$ m$3/$s$,$ the downstream lake level is $2\mathrm{.}8$ m above the brink. Sketch the flowprofile for this ase.