Question: 1. Consider the function f (x, y) .T3 3r + y4 2y2. (a) Create a surface plot of the function using geogebra, ensuring that

1. Consider the function f (x, y) .T3 3r + y4 2y2.

(a) Create a surface plot of the function using geogebra, ensuring that

1. Consider the function f (x, y) .T3 3r + y4 2y2. (a) Create a surface plot of the function using geogebra, ensuring that your plot contains at least 2 x 2 and 2 y 2. (b) Identify all local maxima, minima, and saddle points. Local maxima: Local minima: Saddle points: Remember to attach your surface plot to your submission. 2. Use the contour plot below to find all the local maxima, minima, and saddle points. --5 --10 k=5 k=5 0 Local maxima: Local minima: Saddle points: k=-l

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