Fundamental live and dead shapes

In each problem, you are playing the white stones and it is your turn. Click where you want to move. If the black stones cannot be killed or if they are already dead, click outside the white stones to indicate that a play inside is pointless.

White to play

Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet.

The next two problems look similar, but the second is MUCH more difficult. Do not worry about the second until you know about ko.
Cannot display a GoProblem applet. Cannot display a GoProblem applet.

Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet. Cannot display a GoProblem applet.

These next two differ in the color of only one stone. The first is easy to kill; can you find at least one way to kill it by starting in each of the six empty spaces? The second is very hard to see without playing stones.
Cannot display a GoProblem applet. Cannot display a GoProblem applet.

Have fun playing go!