If it takes him t minutes to go and t minutes to come back, he traveled t minutes.

This is equal to x squared minus 2 times xy plus y squared.

All right, let's plot these on a graph, as they tell us to do.

It's a slightly different color, but maybe you won't notice.

And then the coefficient on the original function is just a constant, right?

So let me draw it like this.

That tells us that the inverse Laplace transform, if we take the inverse Laplace transform and

I could have my dx's let me pick a vibrant color so you can see it.

So now and I'll switch colors just avoid monotony this is equal to, actually, let me just this is y.

For that x, this relation seems to have two possible f of x's. f of x could be that value or f of x could be that value.

I either have a blue forehead, or I don't have a blue forehead.

So when you add them together you have b plus d i's. b plus d in the imaginary direction, you can almost imagine.

And maybe the constant in one of the cases is 0 or something.

Square root of y squared is y, times y squared y to the third over 2.

And then 180 plus another 36 is 216.

As you can see, it is a reflection of our original f of x along the line y is equal to x.

This means 5 times itself three times, so this is equal to 5 times 5 times 5.

So this is the graph right here of 3 times x plus 5 squared plus 1

Let me put this in a new color, so now he's at 1,800.

So it's almost a greater infinity of potential possibilities.

Minus threei plus fouri.

So, we know that a to 1 over log base x of a, is equal to b to the 1 over log base x of b.

Well, we know we can add these exponents.

I moved three things by a millimeter.

These two triangles are going to be congruent

left with is a v.

So let's get the calculator out, so 15 294.3, this is in billions, divided by 1.025, gives us 14 921.3

But he sees only one, two, three green hats.

Maybe that guy has one, that guy doesn't.

So remember, this is what we've told each of the people.

If you do want a hint, I'm about to give it to you.

Let's do another problem.

So now we're going to be doing a little bit of algebra.

And now we have a level one linear equation.

So let's figure out what 4 divided by 0.2 is.

So the answer is four is twenty percent of twenty. And does that make sense?

If that confuses you, sit and look at that for a second.

Ag prime prime, plus Bg prime, plus Cg.

That 4 in parentheses means the fourth derivative.

The question is, what's the good you can do with it?

At 6 o'clock, she arrives.

And the husband, he gets there right when she gets there.

And let's see if we can simplify this further.

I couldn't simplify this number.

And two to the first times two to the eighth, by the same rule we just did, is equal to two to the ninth.