1. (25 points) The figure below shows the contour plot of f(x,y)-3 -1 - 2y+y. (Credit for the figure is due to UMich instructors.) 6.00U 6.000 1.5 1.0 0.5 0.0 0.5 1.0 1.5 6.000 2.0-1.5-1.0-0.5 0.0 0....
Use the contours of the figure to predict the location of the critical points of f and whether f has a saddle point or a local maximum or a local minimum at each of these critical points. Explain your reasoning. Then apply the second derivative test to confirm your calculations. please do it step by step.f(x,y)=3x-x³-2y²+y⁴
Let f(x,y) = 4 + x² + y² – 3xy f has critical points at 10,0) and (1,1) use the second derivative test to classify these points as local min, local max, or saddle point
Question 6. (20 pts) Find the critical points of f(x, y) = x4 + 2y2 – 4xy. Then use the Second Derivative Test to determine whether each critical point is a local min, max, or saddle point.
This two-variable function has exactly two critical points, including the origin: 43 13 f(x,y) = xy - Q17.1 FR 5 Part (a) 4 Points Find the second critical point, other than (0,0). Please select file(s) Select file(s) Q17.2 FR 5 Part (b) 4 Points Classify the critical point (0,0) as a local min, local max, or saddle point, using the (multivariate) second-derivative test.
pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...