So, this is obviously telling us that mu of x is equal to x.

And there we have it.

Now 1 plus 9 is 10, plus 8.

That's just x.

So if you subtract the big part minus the little part

So this distance right here, the length of the rope, is equal to 25 feet.

That was my definition of vector addition.

Notice it's at negative 4, right above A.

And let me just draw some points here, so it's 1, 2, 3

I mean, by definition, work is equal to this force times this distance that I'm applying the block that

Right? Well both of these are equal to a so we could set them equal to each other.

You could just swap these two the partial of P with respect to y minus the partial of Q with respect to x da.

like things are going to work out. So we could select a is equal to positive 5 and b is equal to 3. Those would work out to ab equal 15.

We want to find a times b that is equal to 1 times 6, which is equal to 6.

Approximately.

But we see here, just by looking at these two, they don't equal each other.

Non zero number.

Then this is going to be equal to zero.

Which is going to be a positive.

So this is 3 times 0.

So if you, if you, the 3 would replace the x. So, f (3), so f (3) is equal to 3 plus 2, which equals 5, right?

So the decimal will end up right over here.

7 plus 44 would be 51, so this is going to be 61.

Well the next one is easy, it's already in decimal form.

If we go down here, 8 plus 5 is 13.

We craved but to favor the hem of her dress.

So let me do that in I want to do that in a different color.

So let's divide the right by 7 as well.

And then that is equal to the right hand side of the equation.

And on the left hand side we have minus sevenx plus x.

One times zero.

And the partial derivative of psi, with respect to y, is equal to N.

Let's have 3 groups of 3.

Well let's take the partial of psi with respect to y.

Divide both sides by 2.

I think you get it now

So if we take the partial, with respect to x, of both of these, we know from this that these should be equal, if psi and its partials are continuous over that domain.

Now you don't have to know that fancy word alternate interior angles you really just have to deduce what we just saw over here, that vertical angles are gonna be equal and corresponding angles are gonna be equal.

Anyway, so this is x plus 2 squared.

So the ratio of B to A minus B well that is going to be equal to 1 over the ratio of A minus B to B

You get to y equal 0, right here and here.

This could be interpreted either way.

So let's do that.

And we're just going to keep repeating 703.

So this right over here is going to be equal to 3.