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

It says y equals 1 at x equals 1.

Three groups of two three times two.

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

Which means x is equal to minus 7.

That's an x.

Or, y squared is equal to 4.

And you'd say oh, x minus 4 squared is equal to 25.

5 squared is 25. a squared plus 9 is equal to 25. a squared is equal to 16. a is equal to 4. a is equal to 4.

So we have eight times our number of apples is equal to five times the number of oranges, or five times forty. eight times the number of apples is equal to two hundred, or the apples is equal to two hundred over eight, which is equal to one hundred over four, which is equal to twenty five.

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

You're gonna force them to leave.

So they're either both positive, so minus x minus 11 is greater than or equal to 0.

We could say is equal to angle BAF or we could say is equal to angle CAE

I just took an a and I distributed it along this whole sum.

So if we're too lazy to sit here and add two plus two is four.

1 plus 6 plus 5 is equal to 1 plus 6 is 7.

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

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

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.

Our upper bound, you can say, is the graph y is equal to x squared.

Let me make sure I did that right. x is equal to minus 8 plus or minus 11.

And the focal length this a squared plus b square.

So this is equal to five y plus four thirds

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

The important thing you need to realize, though, when you do it with an inequality is that when you multiply or divide both sides of the equation by a negative number, you swap the inequality. you swap the inequality

And then if I took minus 8 minus 11, x could also equal minus 19.

And that is equal to s a times a over f squared plus a squared.

Five squared is equal to 5 times 5 which is equal to 25.

This just has to be equal to 2 over 13, and this just has to be equal to 11 over 13.

Well, here we have two numbers that add up let's say that a is equal to fj.

Laplace transform of sine of at that is equal to u prime v.

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

The asymptotes of this hyperbola are the lines y is equal to plus or minus b over a.

You got that one up there, so you're going to have to add that plus one is equal to that's going to equal twelve plus one, which is equal to thirteen.

The derivative of y with respect to x is equal to y cosine of x divided by 1 plus 2y squared, and they give us an initial condition that y of 0 is equal to 1.

Well that means that one of them or both of them have to be equal to 0.

So if I do 2x plus x plus 3x that's going to equal 120 feet.

Well, that looks just like this if our 2 was equal to our c.

To test that out, you just add up the digits.

No decimals up there, so you go one, two and you put the decimal there.

We're done.

So 1 2 is equal to 0.5.

But they tell us, In 40 years, Imran will be 11 times as old as he is right now.

That's easy, it's 1.25.