Answer
$(1.05, 2.95)$
Work Step by Step
$x = 1$
$y = 3$
$F(x,y) = (xy - 2, y^2 - 10)$
$= ((1)(3) - 2, (3)^2 - 10)$
$= (3 - 2, 9 - 10)$
$= (1, -1)$
$t = 1.05 - 1$
$= 0.05$
$t \times F(x, y)$
$ = (0.05)(1, -1)$
$= (0.05, -0.05)$
Calculate the location at time 1.05:
$(x, y) + (t \times F(x, y))$
$ = (1, 3) + (0.05, -0.05)$
$ = (1.05, 2.95)$
