Problem Statement The following data were collected in a laboratory flume at a constant temperature of 20C as shown in Table 1. The experiment relates to gas transfer in natural waters such as rivers, lakes, and estuaries. In particular, it has been found that the mass-transfer coefficient of dissolved oxygen K (m/d) is related to a river's mean water velocity U (m/s) and depth H (m) by untransformed form as, K = 0, U12 Table 1 Experiment data 10 U H KL 0.5 0.15 0.48 2 0.15 3.9 10 0.15 57 0.5 0.3 0.85 2 0.3 5 0.5 0.5 0.3 2 0.5 9 10 0.5 92 77 0.8 g) Determine the value of area under the curve of untransformed form equation by using suitable numerical integration methods. Set your step size for that integration. Give the reason why you choose these methods. Discuss the results including what happen if you change using others method. h) Your result in (g) change from one step size to another step size, what happen if you change to large step size and what happen if change to the small step size? Discuss any possible answer and reason