What's the definition of the Laplace transform?

let's call them k's.

And this is a much faster way of evaluating the Laplace

We said this could be any constant and this could be any constant.

It could be 1 2, it could be 10.

And the slope is just change in y for a given change in x.

We can keep doing that.

I mean, we don't know what they are.

Question 1 In the first question, I'm going to ask you some very basic probability questions.

What does that have to do with regression going backwards?

We could say, plus c, but just so that we can simplify it a

I hope that doesn't confuse you.

Let's say I have this bizarre looking function.

And you could see that even this holds.

So, we actually just learned some interesting lessons.

Repeated Any Number of Times

How should we change a variable?

And actually, as you'll see later, it turns integration to divisions by s.

This right here is e to the minus st times f of t.

Before we said when f of x is equal to x squared that x is just any real number.

2 is just one little point in R.

Actually let's do something else just to clean it up a

So we first want to evaluate 1 to the 1st power, and anything to the first power is just that anything.

In this case 2, 3, and 5 are the prime factors of 30.

And you can just subtract them from both sides.

But once again, c is an arbitrary constant.

You get the point

But that's a good way to help you, hopefully, remember how to do these.

Dave So question 8 also tests how well you understand the find method as well as using variables.

And, you know, we could have some base a.

But imagine if it was, you know, an n by n by n cube.

And I'm going to shift it and multiply it times some arbitrary function f of t.

It's pretty simple code.

Well, and you could look at this visually

To be clear, imagine the universe of all numbers and ignore the primes.

Matches an arbitrary amount of whitespace.

Let's ignore c for a little bit.

This is our box.

Now.

And now we just have to figure out the slope.

Any

A tool to resize images with a customized length.

And you could look up e other places.

You must have these parentheses.

What we're going to do in the next video is build up to the