Study Section 8.9 carefully. Do Problem 15 on page 80 (first do Problems 12 and 14). Each function in Problem 3 is a candidate to be the stream function of a flow. Convert each problem to polar coordinates and then verify if the resulting function satisfies Laplace's equation. For those that do satisfy Laplace's equation, plot their typical particle paths. Create all of the graphs in a Mathematica notebook. Use the functions within Mathematica (such as Text, etc.) and write a paper about your findings.