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Homework answers / question archive / Consider the function below z sin(xy) (a) Match the function with its graph (labeled A-F)

Consider the function below z sin(xy) (a) Match the function with its graph (labeled A-F)

Math

Consider the function below z sin(xy)
(a) Match the function with its graph (labeled A-F). (b) Match the function with its contour map (labeled I-VI)
(a) Match the function with its graph (labeled A-F). O F (b) Match the function with its contour map (labeled I-VI). This function is (-Selec-in both x and y, and the function is (not the same when x is interchanged with y, so its graph is [Dymmetic about the plane In addition, the function is [zero along the x- and y axes. These conditions are satisfied only by 2 and Y a s

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Given function is : z = sin (ry ).

The graph of the function is :

So, the choice is C.

And, contour map is :

So, the choice is II.

This function is periodic in both x and y.

The function is the same when x is interchanged with y.

So its graph is symmetric about the plane y = x.

In addition, the finction is zero along x-axis and y-axis.

These conditions are satisfied only by C and II.

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