Let f be a function and let 3" ' be its derivative. You are given the following information. The function f is positive on the interval ( 4, 9) U (11, 00). The function f is negative on the interval ( 00, 4) U (9, 11). The function f' is positive on the interval ( 2, 8). The function f' is negative on the interval ( oo, 2) U (8, 00). At which 3 values does f have a local max? Separate x values by comma if needed At which m values does f have a local min? Separate x values by comma if needed Let f be a function, let f ' be its derivative, and let 3' ' ' be its second derivative You are given the following information. The function f is positive on the interval ( 4, 9) U (11, 00). The function f is negative on the interval ( oo, 4) U (9, 11). The function f' is positive on the interval ( 2, 8). The function f' is negative on the interval ( oo, 2) U (8, 00). The function f' ' is positive on the interval ( 3, 3) U (3, 00). The function f' ' is negative on the interval ( oo, 3). At which a: values does f have an inflection point? Separate x values by comma if nedded. An open-top box is to be made from a 30 inches by 41 inches piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. Part A. If :1: inches is the amount to be removed from each corner, write a formula for the volume of the w = Part B. Use the techniques discussed in this class to determine what size squares should be cut out of each corner to get a box with maximum volume. m 2 Part C. What is the maximum volume of the box? V = inches cubed