Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 4xy - x2 - 5y2 + 2x+8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) O B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points.Find all the local maxima, local minima, and saddle points of the function. f ( x, y) =x2 - 6xy+ y2 + 16y+9 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The loal maximum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) O B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points