Each of the following functions has at most one critical point. Graph a few level curves and a few gradiants and, on this basis alone, decide whether the critical point is a local maximum (MA), a local minimum (MI), or a saddle point (S). Enter the appropriate abbreviation for each question, or N if there is no critical point. 1. f(x, y) =e-3x²-4y² Type of critical point: 2. f(x, y) e³x²-4y² = Type of critical point: 3. f(x, y) = 3x² + 4y² + 4 Type of critical point:

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 maximum, a local minimum, or a saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x,y) = 5 + 2x? + 6y? What are the critical points? Select the correct choice below and, if necessary, fill in the answer box within your choice. 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.