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Problem 4. Consider the situation shown in the figure below. Water is being discharged from a cylindrical tank through a long pipe. Using techniques from fluid mechanics it can be shown that the velocity of water, v (m/s), can be computed as 2L where g 9.81 m/s2, Hnial head (m), L pipe length (m), and elapsed time (s). Use this equation to determine the initial head H needed to achieve an exit velocity v-5 m/s in 2.5 s for a 4-m long pipe. To do this convert the equation into a roots problem of the form: f(H) 0. (a) Use MATLAB to plot the function f (H) versus H for H 0 to 4 m (make sure to label the plot) (b) Develop a MATLAB script that uses the bisection program bisect.m together with the initial bracketing guesses: x-0 and xu-4 m. Use the stopping criterion E-.1%