Question

Match the function with their respective graphs.

\(z = \sin \left( {x,y} \right)\)

Short answer

Answer is not given in the drive.

Step-by-step solution

Since the function\(z = \sin \left( {x,y} \right)\)

It is a periodic function and whose value range from\( - 1{\rm{ to 1}}\), this follows that the function represents a surface which looks like tidal waves in a sea, lying between planes\(z = 1{\rm{ and }}x = - 1\).

Plotting the graph of the function:

Contour map

Defining level curves

\(f\left( {x,y} \right) = k\)

where\(k = \)Constant

This is satisfied when\(xy = \frac{\pi }{6},\frac{{5\pi }}{6},\frac{{13\pi }}{6}........\)

So, the contour map of function is as follows: