Assignment 12

This assignment uses Microsoft Excel spreadsheets to graph parametric equations and determine tables and t-values. We will correlate this assignment with assignment 10 and will use the previous functions as the parametric equations that I intend to explore with Excel. I will explore the parametric equation used in assignment 10 as I did in the write-up, using different powers of the equation as a basis for my exploration. Here are some of the values and graphs using Excel for powers 1 through 5:

By comparison of the two assignments, the graphs in each are different shapes and forms of the same parametric equations. For example, assignment 10 gave an interval for the equation to be graphed on, [0,2pi], whereas here we are graphing from [-10,10]. Also accounting for some distinction is the fact that I used different values of a and b in assignment 10 whereas here always used a = b, but more specifically a = 1 and b = 1. Not to mention that these graphs are actually dot plots of each parametric function as opposed to actual graphs that the program Graphing Calculator can compute. The same ‘rules’ per se apply to these parametric equations to like what happens to each odd and even function when a = b, a < b and a > b. Therefore if we were to explore further the association of values and plots in Excel we would come to the same conclusion that we came to in assignment 10. This exercise is to accommodate ourselves with small uses of Excel and briefly compare the results and graphs here with those in assignment.10.