Math........MATLAB......

Consider the flat vector field

F (x, y) = ((2x y 5) cos (x y), (x y 3) cos (x + y))

Assume that four different particles move rectilinearly from the origin to each corner of the square

1 x 1, 1 y 1

Plot the vector field and the particle paths and decide (by studying the plot) on which particle the vector field does the most work during the movement to each corner.

• The particle moving rectilinearly from the origin to the point (-1, -1)
• The particle moving rectilinearly from the origin to the point (1,1)
• The particle moving rectilinearly from the origin to the point (-1.1)
• The particle moving rectilinearly from the origin to the point (1, -1)