For each polar equation below: (a) make a table of values for 6 = 0, 7/6, /4, .. . etc., in the indicated domain: (b) plot the points on polar graphing paper and string the points together in a tentative curve which you will modify later; () find the polar coordinates of all the points where the tangent line is horizontal or vertical, and include them in your graph (you will have to approximate and @, in degrees, to plot these points accurately); {d) modify the graph to more accurately show the behavior at the points in (c); (e) if the curve passes through the pole, find the angles at which it does so, and the slopes of the tangent lines at the pole; graph the lines with these slopes (use a thin pencil and draw lightly), and modify the graph again to accurately show the behavior of the graph as the curve approaches the pole. You may use GeoGebra to check your work. We will work on the same curves for our final Assignment! l. r=6cos(f)+7, 6 [0,27] (this is called a dimpled limagon) 2. r=7sin(f)+3, 6 [0,27] (alimagon with an inner loop)