A Water is leaking out of an inverted conical tank at a rate of 0.0068 m3lmin. At the same time water is being pumped into the tank at a constant rate. The tank has height 14 m and the diameter at the top is 5.5 m. If the water level is rising at a rate of 0.24 m/min when the height of the water is 3 m, find the rate at which water is being pumped into the tank. B. Consider the function fdefined by f(x) = (x2 1)3 for all real numbers x. a. For what values of x is the function increasing? Show your reasoning. b. Find the x and y cordinates of the relative maximum and minimum points. Justify your answers. c. For what values of x is the graph of concave upward? Does the function have any points of inection? If so, give their coordinates. Show work to support your conclusions