Please solve Q 1 and 2 by using python programming

Q1 (5 points): An open channel with a bottom width 5 m and Manning's n 0.013 m-1/3 discharges 10 m3/s water to a community located in a rural area, the channel's slope is 0.005. Find the normal depth of the channel using the Newton Raphson method. To start iterations, use an initial depth of 0.05 m, error of 0.01, and N of 100 for: a) A rectangular channel bh5/3 = n (1 + 2h/b) 2/3 $1/2 b) A trapezoidal channel 1 1 + 2h/b 2/3 Q = -h2/3 S1/2hb(1 + 2h/b) n 1 + 2v5h/b Q2 (5 points): Repeat question 1 above (for both a and b) using the incremental-Search method