Solve this.

A reservoir discharging through sluices at a depth h below the water surface has a surface area A for various values of h as given below:


 If t denotes the time in minutes, the rate of fall of the surface is given by dh/dt = -48/h . Using composite Simpson's one third rule to estimate the time taken for the water level to fall from 14 ft to 10 ft above the sluices.

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