Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) "(x) = cos(3x), Need Help? Rand It [-/9 Points] DETAILS SCALCET9 4.XP.3.010. Consider the following- ((!) = 1 + cos([), -21 s t s 2n (a) Find the interval of increase. (Enter your answer using interval notation.) (b) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DINE.) Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (c) Find the inflection points. smallest x-value (x, y) = (x, y) = (x. y) = largest x-value (x. y) = Find the intervals the function is concave up. (Enter your answer using interval notation.) Find the intervals the function is concave down. (Enter your answer using interval notation.)