The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed as:

v= √2gH tanh (√2gH/2L. t)

where g = 9.81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Develop a MATLAB script that

a. Plots the function f(H) versus H for H = 0 to 4 m (make sure to label the plot) and
b. Uses LastNameBisect with initial guesses of xl = 0 and xu = 4 m to determine the initial head needed to achieve υ = 5 m/s in 2.5 s for a 4-m long pipe.

Match the scale and the actual area to the area of the corresponding scale drawing. scale: 1 inch to 4 feet actual area: 128 square feet scale: 1 inch to 7 feet actual area: 147 square feet scale: 1 inch to 8 feet actual area: 256 square feet scale: 1 inch to 5 feet actual area: 225 square feet area of scale drawing scale and actual area scale drawing area: 3 square inches arrowright scale drawing area: 8 square inches arrowright scale drawing area: 4 square inches arrowright scale drawing area: 9 square inches arrowright