1) Find all local maxima, local minima, and saddle points for the function given below. Writeanswers in the form (x, y, z). Show work for all six steps, see the notes for 8.3.f (x, y) = 2x² + 3y? – xª – yª• Step 1 Calculate fa and fyStep 2 Solve the system of equations fa = 0, fy = 0, if there is more than one solution labelcritical points (x, y) with A,B,C, etc.• Step 3 Calculate fææ, fæy, fyæ, fyy• Step 4 Calculate D =Jyxfex fyy – fæy fyæ for each critical point|fyæ fyy|fry-• Step 5 Classify each critical point as a local minimum, local maximum, or saddle point and veach point as (x, y, z), where z = f(x,y)• Step 6 Graph the function and all critical points (x,y,z) in http://www.geogebra.org/3dway that clearly shows the behavior near each local max, min, saddle point. You may neerotate the graph or zoom in to certain regions so that the behavior of the graph is visible ardeach critical point (multiple plots may be necessary).

Name: 1) Find all local maxima, local minima, and saddle points for the fun
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: 1) Find all local maxima, local minima, and saddle points for the function given below. Writeanswers in the form (x, y, z). Show work for all six steps, see the notes for 8.3.f (x, y) = 2x² + 3y? – xª – yª• Step 1 Calculate fa and fyStep 2 Solve the