U 1. (05.05 HC) Let h be a continuous function over the interval [-10, 5] with derivative given by h ' consisting of two line segments and two semicircles, as shown in the graph. Forum; For what intervals is the graph of in increasing? Decreasing? Justify your answer. ('I 0 points) Part B: For what value(s) of x does h have relative extrema? Justify your answer. (5 points) Part c: For what intervals is the graph of h concave up? Concave down? Justify your answer. ['I 0 points) Part D: For what value(s) cfx does it have a point of inection? Justify your answer. [5 points) 3. (05.08 HC) A cone will be inscribed in a sphere of radius 9 in. PartA; Find the exact dimensions of the cone of largest volume that will fit inside the sphere. (20 points) Part 5: Find the maximum volume cone to the nearest tenth. (20 points) 2. (05.07 HC) A twice-differentiable function f is defined for all real numbers x. The derivative of the function f and its second derivative have the properties and various values of x, as indicated in the table. X 0