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Find the local maximum value of the following function /2 -Find the local maximum value of the function = 3 re IConsider the following: f(x) = 3x2/3 - T Find the intervals where f is concave up. (27, 20) (-60, 0) (-60, DO ) O (8, 60) (0, 30) (0, 8) (0, 27) none of these (8, 27)Evaluate the following limit. (If you need to use -OO or OO, enter -INFINITY or INFINITY.) lim e -1 t-+0Evaluate the following limit. (If you need to use -co or co, enter - INFINITY or INFINITY.) lim re2/I - C T-100Find the interval(s) of decrease for the following function (select all that apply): (x) = 3+ 3x - x O (1, 60) O (-50, - 1) O (0, 60) O(-1, 1) O ( -60, 20 ) O (-GO, 0) Onone of these O(-1, 0) O(0, 1)Evaluate the following limit and enter your answer as. a decimal. Em MJm 1H} Consider the function below: f(x) = (3 - 2) At what x value does f have an inflection point? Enter just the