Click to draw dots or drag to draw strokes.

I draw them.

Let me see if I can draw it.

So if I were to draw the top view.

This right here is the set of cubes.

Drag and Drop graph plotting

So let's do this.

I would like to draw.

So this is me right here.

I like to draw pictures.

If I were to draw a grid here, let me do my best to draw a quick grid.

Now, what are all of the different possible outcomes?

It would look something like, let me draw the uh whoops.

And we've done this many times before.

So let's draw those two lines.

looks like just yet.

So that's my ellipse.

This could be interesting.

Draw it for me, would you?

And then what does vector y look like?

This is kind of the key intuition here.

And that is equal to dx no, sorry, this is dy.

And in fact, all of these things over here are rational numbers.

I'll stay in this yellow color.

And then they tell us

And let me do a color that I haven't used yet

I'll draw a little square actually.

So we already learned this, one out of thirteen of those outcomes result in a jack.

It looks like this is the same point right there, that this is the point 3 comma 3.

And I just ate it up.

Draw cartoons

Circle Draw a circle

If b was larger than a, I would have a tall and skinny ellipse.

Let's find the volume of a few more solid figures, and if we have time we may be able to do more surface area problems.

So a hyperbola usually looks something like this.

And now we're ready to draw this ellipse.

Let me do vector b in a different color.

looks just like that.

And then, the middle one was the mauve layer.

Maybe jumps up to here and does something like that.

That tells you a lot!

You have a 0 here.

And the best way to do is to separately visualize each of the separate layers.

Drag to draw the first line.

So this right here is 11. This right here would be 12.