A rectangular concrete channel $($n $=0\mathrm{.}015)$ has a slope of $0\mathrm{.}15\%.$ The width of the channel is $6\mathrm{.}0$ m wide and is carrying a discharge of $15\mathrm{.}0$ m$3/$s$.$ Water in the channel flows over a broad crest weir, where at the upstream end of the weir the water depth is $3\mathrm{.}50$ m$.$ Show calculation of the following $(7)$ items below and submit along with the Summary Table $(8)\mathrm{.}1.$ Calculate the critical depth$\mathrm{.}2.$ Calculate the normal depth$\mathrm{.}3.$ Determine the water surface profile type $($backwater or tailwater$)$ and state whether it is aS$1,$ S$2,$ S$3,$ M$1$ M$2$ or M$3$ profile$\mathrm{.}4.$ Calculate the number of segments to be used$\mathrm{.}5.$ Calculate the upstream and downstream depth of each segment$\mathrm{.}6.$ Determine the length of the backwater curve$\mathrm{.}7.$ Draw a sketch depicting the weir and the backwater curve$\mathrm{.}8.$ Summary Table do by using data provided