Consider the following graph of the function x, 1/), given below. x,y)=4+x3+y33xy (3 Use the level curves to predict the location of the critical points of f and determine whether fhas a saddle point, local maximum, or local minimum at each point. Then use the second derivatives test to conrm your predictions. (If an answer does not exist, enter DNE.) point corresponding to local maximum (x, y) = (|:| ) point corresponding to local minimum (x, y) = (|:| ) point corresponding to saddle point (x, y) = (|:| ) Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists If an answer does not exist, enter DNE.) x, y) = 2X3 6x + xyZ local maximum value(5) local minimum value(s) saddle point(s) (X: Y) = HUB Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) fix, y) = 7 sin(x) sin(y), 1:,'