A concrete, trapezoidal channel with a 5-m bottom width and side slopes of 1:1 (H:V) discharges 35 m3/sec. The bottom slope of the channel is 0.004. A dam is placed across the channel and raises the water level to a depth of 3.4 m. Determine the channel and flow classification (e.g., M-2, S-1) upstream of the dam and explain your supporting logic. Then compute the water surface profile at 50-m intervals until you reach the hydraulic jump. Use a spreadsheet or appropriate computer software to perform the computations. (See the book's preface for computer software suggestions.)