II. The following is to be attempted without writing script, function file, feval, sym, or @...

 

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II. The following is to be attempted without writing script, function file, feval, sym, or @ The velocity of water v m/s discharged from a cylindrical tank through a long pipe can be computed as, v2gH tanh 2gH 2L -t. Determine the head H meters needed to achieve v = 5m/s, in time t = 2.5 s, for the length of the pipe, L=4 m. Use g = 9.81 m/s. A) use the interval [0,2] to compute two iterations using bisection method. The first mid-point due to starting interval is the zeroth iteration. [5] B) use the interval [0, 2] to compute two iterations using regula-falsi method. The first false position approximation due to the starting interval is zeroth iteration. [5] C) Write Newton-Raphson iteration formula for this problem with appropriate subscript notation d dx You can use the formula, [tanh(x)] = sech (x) [5] D) Use the starting guess of H = 1.5 m to compute three iterations of Newton-Raphson method [5] II. The following is to be attempted without writing script, function file, feval, sym, or @ The velocity of water v m/s discharged from a cylindrical tank through a long pipe can be computed as, v2gH tanh 2gH 2L -t. Determine the head H meters needed to achieve v = 5m/s, in time t = 2.5 s, for the length of the pipe, L=4 m. Use g = 9.81 m/s. A) use the interval [0,2] to compute two iterations using bisection method. The first mid-point due to starting interval is the zeroth iteration. [5] B) use the interval [0, 2] to compute two iterations using regula-falsi method. The first false position approximation due to the starting interval is zeroth iteration. [5] C) Write Newton-Raphson iteration formula for this problem with appropriate subscript notation d dx You can use the formula, [tanh(x)] = sech (x) [5] D) Use the starting guess of H = 1.5 m to compute three iterations of Newton-Raphson method [5]