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Find the local maximum and local minimum values of fusing both the First and Second Derivative Tests. f(x) = 8 + 9x2 6x3 A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the box (in cm) that minimize the amount of material used. sides of base cm :1 height cm Suppose the function f is positive on the interval [6, 24]. Selected values of f(x) are given in the table. X 6 12 20 24 f(x) 5 6 Let R be the region bounded by the graph of f, the x-axis, and the lines x = 6 and x = 24. Find a trapezoidal approximation for the area of R using the subintervals defined by the table.X Let f(x) = f (16 t2) dt. Find the interval(s) on which the graph of fis increasing. (Enter your answer using interval notation.) 0