#

The input is as follows:

Select a function, v of x, y equals x hat sine of pi y plus y hat sine of pi X. function, v of x, y equals x bar sine of pi Y plus y bar sin of YX

Divergence x v (x, y) equals x caret sin of pi y plus y caret sin of pi x is

A blank box, 0

A box with a tick, z caret pi cosine of pi x minus pi cosine of pi y, it is selected.

A blank box, z caret pi cosine of pi x plus pi cosine of pi y.

V (x, y), arrows and f of x, y, colors

V of (x, y), lines and f of x, y, colors

Divergence x v equals z caret f of x, y

F of x, y equals start fraction d of sine of pi x over dx end fraction minus start fraction d of sine of pi y over dy end fraction equals pi cosine of pi x minus pi cosine of pi y.

The output is as follows:

In the x y plane, the x axis displays the numbers from negative 1.0 to 1 with an increment of 0.5. The y axis displays the numbers from negative 1.0 to 1 with an increment of 0.5. The arrows move in the spiral direction. In the first quadrant, the arrows move toward the right. In the second quadrant, the arrows move upwards toward the origin. In the third quadrant, the arrows move leftwards and downwards. In the fourth quadrant, the arrows move toward the origin in the upward direction.