Fieldxy mx y nx y with rotFieldx y Dnx y x Dmx y y with t

Field[x,y] = {m[x, y], n[x, y]}, with
rotField[x, y] = D[n[x, y], x] - D[m[x, y], y]
with the extra property that
rotField[x,y] > 0
for every x and y.

The net flow of F[x,y] = {m[x, y], n[x, y]} along any closed curve without loops is :

A. clockwise
B. zero
C. None of these.
D. counterclockwise
E. impossible to determine from the information

Solution

E. impossible to determine from the information
Field[x,y] = {m[x, y], n[x, y]}, with rotField[x, y] = D[n[x, y], x] - D[m[x, y], y] with the extra property that rotField[x,y] > 0 for every x and y. The ne

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