Question: The analytical solution for draining the tank is given below. Identify the dependent variable, independent variable(s), parameter(s), and forcing function(s). (2.5 points) = (0.5 (
The analytical solution for draining the tank is given below. Identify the dependent variable, independent variable(s), parameter(s), and forcing function(s). (2.5 points) = (0.5 ( (2 )( ) 2 ( 0 ))) 2 (d) The numerical solution for draining the tank is given below. Does any of the variables change roles? (i.e., dependent, independent, etc.) (2.5 points) 1 = (2 ) 0.5 a b I (e) With the solutions provided in c. and d., calculate h at a time interval (t) of 20 s until the tank drains. Draw the curve of the analytical and numerical solution (on one graph) to correlate the water level (height, h) to time (t) at a time interval of 20 s. (15 points) (f) Calculate the relative true error and relative approximate error for each numerical result (i.e., for each time interval). (5 points) (g) Repeat steps e. and f., with a time interval (t) of 2 (t = 2 s). How did this change impact the numerical curve and the corresponding errors? (10 points)
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