For $f(x)=2sin(x^2)$ between $x=0$ and $x=3,$ find the coordinates of all intercepts, critical points, and inflection points to two decimal places.

In each part, enter your answers in increasing order of $x$ values.

Round your answers to two decimal places.

The coordinates of the intercepts are:

$x=,y=$

$x=,y=$

$x=,y=$

The coordinates of the critical points are:

$x=,y=$

$x=iy=$

$x=iy=$

$x=,y=$

The coordinates of the inflection points are: