Question: Please answer the following question: Consider the function f(x, y) = (x2ty?+k)e- ty where k is a constant. The shape and properties of f depend

Please answer the following question:

Consider the function f(x, y) = (x2ty?+k)e- ty where k is a constant. The shape and properties of f depend significantly on the value of k. Use the following GeoGebra applet (https://www.geogebra.org/m/kxxfssp3) and the slider for k to discover how the shape and properties of f change as the value of k changes. Analyze the function as regards to local and global maxima and minima. Share the results of your analysis and try to include as many qualitatively different cases as possible

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