Select the first function, r = a + b cos(c) + p sin(q), and graph the cardioid r = 2 + 2 sin(). (For 0 2.) (a) What value of corresponds to the cusp you see on the polar graph at the origin? = Correct: Your answer is correct. (b) What is the range of the function? (Enter your answer using interval notation.) Correct: Your answer is correct. For what value of does r reach its maximum value? = Correct: Your answer is correct. (c) Change the function to r = 1 + 2 sin(). What values of correspond to the inner loop on the polar graph? (Enter your answer using interval notation.) Correct: Your answer is correct. Are the values of r positive or negative on the inner loop? positive negative Correct: Your answer is correct. (d) Graph r = 2 + 2 cos() and compare your polar graph to the polar graph from part (a). How are they related? r=2+2cos(?)r=2+2cos(?) with r=2+2sin ?(?)r=2+2sin(?): (d) Relationship: The polar graph of r=2+2cos(?) r=2+2cos(?) is similar to the graph of r=2+2sin(?)r=2+2sin(?), but rotated by ?/2 2? radians. This is because the cosine function is a phase shift of the