Answer
$S= <1.05,2.95>$
Work Step by Step
$F(x,y)=$
The particle's initial position is $<1,3>$, therefore:
$x=1$
$y=3$
$F(2,1)=<1,-1>$
We can consider the velocity as being constant, taking into account how small $\triangle{t}$ is.
$△S=0,05⋅<1,-1>$
$△S=<0.05,-0.05>$
The particle's final position can then be estimated at:
$<1.05,2.95>$
