Report

Part 1

1.1 Briefly summarize how you computed the discharge from the concentration measurements and present your result. Include the code line(s) that implement the numerical integration.

1.2 Justify your choice of numerical integration method, taking theoretical and practical considerations into account.

1.3 Paste the plot that you created in task 1.4. How many points would you choose for integrating the simulated concentration curve with Simpson’s rule? Justify your answer.

Part 2

2.1 What is the expression for the 4th order Taylor polynomial of \(\ln(x)\) around \(x_0 = 1\)? You can copy a picture of your solution from task 2.1 (or type the solution in Markdown format).

2.2 Paste your plot of the Taylor approximations of \(\ln(x)\) (output of task 2.5).

2.3 How well do the Taylor polynomials approximate the function \(\ln(x)\)? Consider the influence of the order of the polynomial and the value of \(x\) in your answer.

Part 3

3.1 Copy your derivation from task 3.1 here (as a picture or in Markdown format).

By Anna Störiko, Ronald Brinkgreve, Delft University of Technology. CC BY 4.0, more info on the Credits page of Workbook.