1) (5 pts) If the average value offon the interval 2 g x g 5 is 4, find I:(3f(x)+ 2) ix . Clearly show D 3 your steps. (5 pts) Evaluate the following definite integral exactly, doing all your work by hand (show all steps and calculations carefully): j[10x23x+e{}m D J; (6 pts) The graph of the function y = f(x) is shown below. Use the facts that F' = f and F(0) = 2 to answer the following questions. a) Complete a table of values for y = F (x) for integer values of x from 4 to 3. Think carefully about the interval [4 ,0]! b) Where does F have critical points? 0) Sketch an accurate graph of F , clearly showing the concavity of the graph. (1) Find the global maximum and global minimum values of F on the interval [4 ,3]. y=f(x)