That is, equal to the force of gravity pulling downward on the cylinders.

In algebra, all we are saying this quantity over here is equal to this quantity over there.

Well, we know that the scale is balanced that the mass here is equal to the mass here, because the scale is balanced, the way it's been drawn.

Now take this together, and you end up with 2.3 million words of TED Talks, which is about three Bibles worth of content.

But if you just pick a simple a is equal to 1, than what's b equal to?

Liquid and mass is equal. Passing through liquid and mass is the same.

And based on how they're wording it, I assume amount means when you take the 25 of the base, so they're saying that the amount as my best sense of it is that the amount is equal to the percent times the base.

And you say OK, this has to be equal to 0, or that has to be equal to 0.

Or, you could view it as the bound x is equal to the square root of y.

That is another 25 million barrels a day.

So the net forces on this is F minus ky, and that's equal to the mass of our object times its acceleration.

All right, the coefficient in front of the x squared term is equal to a 1.

So if d1 is equal to d2, and that equals 2a, then we know that this has to be equal to a.

This one gives us the famous formula...Force is equal to Mass times Acceleration.

That is 9 times 8.

What's ten times six?

Well, that's just going to be 74.

We could say f of...

And then I'll leave this 109 on the right hand side.

Add 2 to both sides of this, you get y is equal to 7.

The only time where it has any area is right under c.

Minus two squared is four, minus twelve six times minus two plus eight.

That's not a zero.

That's one one, plus another one, plus another one.

What does that equal?

So we start off with 5 plus 9.

And of course, 4 times 2, that part over there,

Yeah, it works.

So if we were to take minus 11x squared divided by 2x, that is equal to what?

And we'll use the udacity site as an example web page.

So you could say that this is equal to x plus 5 over x minus 2.

Divide both sides by 3, and we get x is equal to 7 thirds. x is equal to let me just write it here x is equal to 7 over 3.

So we're saying this function, when does this function equal 0?

We take the 10, substitute it in for x. h of 10 is equal to 5 times x.

So maybe that's right here.

I know it says a minus 1, but think about it.

Well, we said that equals to 2a, that equals this distance right here.

This is the same thing as 9x times x plus 4 is equal to 405.

9x times x is equal to 9x squared.

Completely equivalent.

So let's say we had x squared minus 9 over 5x plus 15.

So d1 minus d2 is equal to I'm going off the video screen

And what's the antiderivative of this?

3 s times the Laplace transform of t squared.

We're essentially just evaluating these things at c.