1. Water is flowing in a trapezoidal channel at rate of Q = 20m³ /s. The critical depth y for such a channel must satisfy the equation 0 = 1-B whereg = 9.81m/s², Ac = the cross sectional area (m²) , and B = the width of the channel at surface (m). For this case, the width and cross sectional area can be related to depth y by B = 3+ y and Ac = 3y + Solve the critical depth using (A) bisection method, (B) false position method use initial guesses of [a,b]=[0.5,2.5] and iterate until the the approximate error falls below 1% or the number of iterations exceed 10.

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