You draw well.

Yes, ma'am.

Let me see if I can draw it.

Click to draw dots or drag to draw strokes.

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.

What if I wanted to do something that let's say I have some function that looks like this.

So this is minus 4 times our vector v.

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.

looks just like that.

And then, the middle one was the mauve layer.

So if I were to draw the top view.

Draw it for me, would you?

Here's the United States.

Let's talk about the problem of finding a path through a maze.

Drag and Drop graph plotting

So let's do this.

Well, I'll just leave it right over there.

It's also the case if the beaker was thicker.

So lets do 15 plus 46. We will get a different color.

And let me draw an odd function for you.

This guy figured out how to get the computer to draw with two pens at once you know, you, pen, do this, and you, pen, do this.

One cube has side length 2.

Comes down.

Ellipse Draw an ellipse

And then what does vector y look like?

You know we drew y.

Then it turns its heading into this direction over here, and this is π 8.

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.

let's just think about what's going on.

Well, a square is just a special case where the length and the width are the same.

I'll stay in this yellow color.

And then they tell us

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