Q2 (a) Table Q2(a) tabulates the approximation values of function, f(x). Complete the table for f...
Q2 (a) Table Q2(a) tabulates the approximation values of function, f(x). Complete the table for f "(xi) column in the range of 2.1 Sxs 2.4 using 3-point central difference formula. Then, calculate the error based on the exact value given by f(x) = e". Which xi gives the best approximation? (10 marks) (b) Figure Q2(b) shows the dam retains 10m of water. A sheet pile wall (cut off curtain) on the upstream side, which is used to reduce seepage under the dam, penetrates 7m into a 20.3 m thick silty sand stratum below. The data for head pressure, hp and the point interval distance, x is provided in Table Q2(b). From the data x and hp, the pore water pressure, u can be calculated where u = 9.81 hp. Therefore, as an engineer you need to approximate the pore water pressure, u by applying appropriate Simpson's Rule. Calculate in three decimal places. (15 marks)