Consider the parametric curve r(t) = (11 cost - 12 . It 8 sin t - 12 . 17 17 , t E [0, 2x]. Find the set S consisting of all t E [0, 2x] at which r' (t) is parallel to the line in R given by x = 61. Answer S = { Answer entry help: Beginning on the left hand side, enter one number in each answer field in increasing order and without duplication; in case you have fewer numbers than answer fields, enter 999 into each of those fields (on the right). Write x^y for x Write x*y for x . y (* is required) Write cos(z) for cos z (parenthesis are required) Write sqrt(z) for Vz (parenthesis are required) Write In(z) for In z (parenthesis are required) Write pi for Write e for e Write (a/b)*pi for (alb)it; no spaces