Please answer step by step.
15- Find the open intervals where the function f{x) = ix3 + 12x2 + 172x 3 is concave upward or concave downward. Find any inection points. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- The function has a point of inection at (Type an ordered pair. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) 0 B. The function does not have an inflection point. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A. The function is concave upward on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. The function is never concave upward. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- The function is concave downward on the interva|(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. The function is never concave downward. ID: 5.3.37 15. What is the difference between a relative extremum and an absolute extremum? Choose the correct answer below. 0 A. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but it has only one relative maximum and relative minimum. 0 B. A continuous function on a closed interval can have more than one relative maximum and relative minimum but does not always have an absolute maximum and absolute minimum. 0 c. A continuous function on a closed interval can have more than one absolute maximum and absolute minimum but does not always have relative maximum and relative minimum. 0 D. A continuous function on a closed interval can have more than one relative maximum and relative minimum but it has only one absolute maximum and absolute minimum. 17. A company plans to enclose three parallel rectangular areas for sorting returned goods. The three areas are within one large rectangular area and 1136 yd of fencing is available. what is the largest total area that can be enclosed? Select the correct choice below and ll in the answer hordes} to complete your choice. 0 A- The length of the shorter side of the larger rectangular area is yd and the length of the longer side of the larger rectangular area is yd. O B. The length of each side of the larger rectangular area is the same and measures yd. The largest total area that can be enclosed is (1) (1) 0 yet2 0 yd
