In water resource engineering, engineers often have to use data from experimental measurements to calculate the stream-cross sectional area Ac **H(y)dy where B is the total channel width, H is the total depth, and y is the distance from the bank. Similarly, they also use the experimental data to compute the average flow Q Ac = B = U(y)H(y)dy where U is the water velocity. In this problem, you need to approximate A. and Q for the following data y(m) H(m) U(m/s) 0 0 0 2.5 1.5 0.12 5 4 0.2 7 3.5 0.25 9 0 0 Compare your answers for the following methods 1. Trapezoidal rule 2. Simpson's (1/3rd) rule