And the same for B0 before, as you might easily recognize.

The whole business it's unreasonable from beginning to end. Quite reasonable, said the Invisible Man.

So in baking we call it scaling weighing out the ingredients.

And the things we're going to add, those are what complete the square.

This is going to be the partial derivative of psi, with respect to x, but when we take the kind of exact test, we take it with respect to y, because we want to get that mixed derivative.

Now there's one alternate way that you could factor this and it'd be completely legitimate.

So kitty cat, meow, happy happy happy, human beings, screwed. (Laughter)

We're not actually doing any work here. For everything in 1, 2, 3, just put that in the output.

And the Italians only became fully unified in 1870, also due to the

Totally, totally.

Everything is fine and fully operational.

This is an exact equation.

I brew up to about 30 liters of tea at a time, and then while it's still hot, add a couple of kilos of sugar.

Totally dead. Way dead.

(Laughter)

Let me copy and paste this. soon.

We just had our first PlPA Trust Board meeting three weeks ago.

So it's negative 1 2 times x, when x is less than 0.

Precisely.

There is nothing on the other side.

What quantity should be added to both sides of this equation to complete the square?

Once again we got the same way, completely legitimate way to solve it.

This one, of course, still works with the wild dogs.

On top of that, if they get close to fully utilization,

Subtract, and we are done.

I'm gonna kill that thing.

Completely equivalent.

Mix

Here's a number.

And, therefore this is an instrument of compromise.

It's bad enough on a highway, what's it going to be like to be in the air?

Everything we do, we use as liquids or gasses because we can mix them completely. You can take a liquid, you can fully mix it.

In my case, sir, the question is totally without meaning.

So let's put that aside and let's explore another property of partial derivatives, and then we're ready to get the intuition behind exact equations.

Those tamper proof caps, that came from this.

Panic. Sheer bloody panic, sir.

Phalen's test evaluates for carpal tunnel syndrome.

So this is negative feedback right over there.

So here we go, we're just going to mix that up very quickly. Ok. Now, let's talk about the condiments.

Looking great. Salvador, looking good.

He's sending robots into caves, looking at what's going on.

It hasn't changed as we were growing up.

MixedBlack

And for example, this would be somebody who's completely logical.

Because it's not exactly legal.