Give complete answers to each of the following questions": (a) Does the relation defined by the set of ordered pairs (t. M) in the table represent a function? Why or why not? Use your knowledge of the subject matter to explain and support your conclusion. Answer in full English sentences. (b) Use the Maple command ScatterPlot to make a scatter diagram. Use t as the independent variable and N as the dependent variable. Begin your answer to this question with a sentence describing your diagram; for instance, write the following: "Here is a scatter diagram of the given raw data." After you plot the diagram, comment (in full English sentence) on the type of relation that may exist between the two variables based on your observations (linear, quadratic, polynomial of higher degree, etc.). (c) Use Maple to find a function of the best fit to the data. Express the relationship using function notation and write your conclusion. NOTE: you may choose to work with the original years for time t or you can shift your data and treat 1974 as 0. If you choose to shift the time line, do not forget to treat every year accordingly. For example if 1974 corresponds to 0, then the year of 1975 corresponds to 1, and so on. (d) Predict the number of live births given by females over 40 in Canada in 2006, 2007, 2010. What makes it possible to make this prediction? Provide answers in the text mode in full English sentences after you are done working with Maple commands. (e) Graph the scatter diagram and the graph of the best fit function together. Include an appropriate title