Consider the following. f(t)= t + cos(t), -2π st≤ 2.T (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 DNE.) 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. (x, y) = smallest x-value largest x-value (x, y) = (x, y) = (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.)

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