Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -9x² - 2xy - 4y² - 46x-44y+3 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. 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.) OB. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. OA. 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. Find the saddle points. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no saddle points.

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