Also answer the bottom question where it says determine the behavior

Question 10 of 12 This This Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maxi determine the behavior of the function at the critical points. f ( x, y ) = 2+ 5x2 + 3y What are the critical points? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The critical point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no critical points. Use the Second Derivative Test to find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The test shows that the local maximum (maxima) is (are) at . (Type an ordered pair. Use a comma to separate answers as needed.) O B. The test does not reveal any local maxima and there are no critical points for which the test is inconclusive, so there are no local maxima. O C. The test does not reveal any local maxima, but there is at least one critical point for which the test is inconclusive. Use the Second Derivative Test to find the local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The test shows that the local minimum (minima) is (are) at (Type an ordered pair. Use a comma to separate answers as needed.) O B. The test does not reveal any local minima and there are no critical points for which the test is inconclusive, so there are no local minima. O C. The test does not reveal any local minima, but there is at least one critical point for which the test is inconclusive. Use the Second Derivative Test to find the saddle points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The test shows that the saddle point(s) is/are at. (Type an ordered pair. Use a comma to separate answers as needed.) O B. The test does not reveal any saddle points and there are no critical points for which the test is inconclusive, so there are no saddle points. O C. The test does not reveal any saddle points, but there is at least one critical point for which the test is inconclusive. Determine the behavior of the function at any of the critical points for which the Second Derivative Test is inconclusive. Select the correct choice below and, (Type an ordered pair. Use a comma to separate answers as needed.)