5. (15 points) Consider the limacon r = 4 + 3 cos0. a. Find all the x and y intercepts of this curve. b. Find the exact polar coordinates (in terms of 7, inverse trig functions and radicals, if need be) of all the points where the tangent line is vertical. c. Find the exact polar coordinates (in terms of n, inverse trig functions and radicals, if need be) of all the points where the tangent line is horizontal. d. Does the curve pass through the pole? If so, what is the slope of the tangent line/s there? e. Sketch the graph of the curve using the information above. f. Summarize (b) and (c) by labeling the points with vertical or horizontal tangent lines as A, B, C, etc., and giving their exact polar coordinates)