i just need the final answers.

Problem 1. (1 point) The function f has continuous second derivatives, and a critical point at (7, 6). Suppose fu(7.6) = 4, fiy(7,6) = 10, f5(7,6) =2. Then the point (7, 6): A is a local maximum B. is a saddle point C. cannot be determined D. is a local minimum E. None of the above Problem 2. (1 point) The function f has continuous second derivatives, and a critical point at (10.4). Suppose fi(10.4) =7, fu(10.4) =4, fin(10.4) =4. Then the point (10.4): A is a local maximum B. cannot be determined C. is a saddle point D. is a local minimum E. None of the above Problem 3. (1 point) 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) flxy)=e2"-3 Type of critical point: ___ @ flxy) =" Type of critical point: __ 3) flxy) =42 +372+3 Type of critical point: ___ @4 flx.y)=4x+3y+3 Type of critical point: ___ Problem 4. (1 point) Suppose f(x,y) =x>+y* 8x2y+1 {(A) How many critical points does f have in R?? (B) If there is a local minimum, what is the value of the discrimi- nant D at that point? If there is none, type N. (C) If there is a local maximum, what is the value of the discrimi- nant D at that point? If there is none, type N. (D) If there is a saddle point, what is the value of the discriminant D at that point? If there is none. type N. (E) What is the maximum value of f on R?? If there is none, type N. (F) What is the minimum value of f on R?? If there is none, type N. Problem 5. (1 point) Consider the function flxy) =yvxy 3x+11y. Find and classify the critical point of the function in the interior of its domain. The critical point is ( ) Classification: * local minimum * local maximum * saddle point = cannot be determined