3. Suppose that the positions of two particles called Chenyan and John at the time t are given by the parametric curves: r1(t) = 2 cos(t) sin2 (t)i + sin(t)j r2 (t) : sin(t)i + cos(t)j (a) Express the set X = {t 6 1R : y1(t) 2 mm} in abbreviated form. Your answer to WebWorK Problem 3c should be useful. Note that X is innite. (b) Use your answer to (a) to nd the set C of tvalues for which there are collisions between the particles. (c) Find the two places in R2 at which the collisions you found in (a) occur. ((1) Explain Why the paths of r1(t) and r2(t) cross at the point j. Your answers to Problems 33 and 3b from WebWorK should be useful. Is this a collision point