Question

Make a rough sketch of a contour map for the function whose graph is shown

Short answer

The provided graph is the graph behave lie sine function in three dimensions. The near function of the provided graph is: -

\(f\left( {x,y} \right) = \pm \left( {{x^2} + 3{y^2}} \right){e^{ - {x^2} - {y^2}}}\)

Step-by-step solution

Step-1: Forming a function

The provided graph is the graph behave lie sine function in three dimensions. The near function of the provided graph is: -

\(f\left( {x,y} \right) = \pm \left( {{x^2} + 3{y^2}} \right){e^{ - {x^2} - {y^2}}}\)

This graph consists both positive and negative sides of the function.

Step-2: Forming graph

The rough sketch of a contour map for the function is: -