And in three minutes, we filled in another table in our

And then minus 56 minus 10, so minus 66.

There, we just set up a equation with one unknown and we can solve for x.

Tons of studies should have been done it's a serious issue.

From k is equal to 0, to n of a to the k.

So they also tell us let me underline that Abby earned 10 more than Ben.

And then we evaluate it.

So plus another 4 centimeters.

Minus 2 times minus 1, that's plus 2, is equal to c.

We're going to use the same negative notation and go all the way to the end.

So essentially, what did we do here?

2x minus 9x, If we simplify that, that's negative 7x.

There's actually the area of the parallelogram created by the column vectors of this matrix.

Similarly, if I remove this third line, we can still die on line 2.

And there you go.

(Laughter)

And I just divided both sides of the equation by 5 to get to this.

If you distribute the negative 3, you're going to get that expression.

So they could pay for us to do it.

Plus 1 s that's this right there times the Laplace transform of 1.

And last year we replicated this result in Silicon Valley, Las Vegas, Chicago and Houston.

And your ratio is twenty forty, which is two four, which is the same thing is one two.

The left image is the original and the right is the trace.

I know there's a lot of fractions here, but if you just work through this, the fractions actually work out.

Add to the imaginary parts you have 5 i minus 6 i. You get negative i

The vessels looked better.

So we're in this scenario right over here.

That's what we thought was going to come out of this.

I could say plus 3t.

We have AC and DC, get 12 volts DC, so that could be used for certain applications.

So we throw away our old pi, pi1, and replace it with a new pi, pi2 which is a result of solving the MDP described by our new estimates of the utiliities.

From xml.dom import minidom.

We figured out what f of 0 is up here.

I'm going to multiply 8 times both sides of this equation.

Is that what we got?

Do we have 20,000? Yes, we have 20,000!

You did not get any results with this query.

So you're going to get some combination of the i and j unit vectors.

And just like that.

When I multiplied a 2 by 3 vector times a 3 by 2 vector, what did I get?

Transform of any arbitrary function very, very quickly.

And you probably know, hey, well, if I take 2 away from 5,

So I get x squared plus b a x is equal to you have to divide both sides by a minus c a.

Homework is going to be a little different from quizzes, so unlike the quizzes where you get instant feedback for each question, in the homework you'll submit your answers, and you won't see feedback on them until you submit your answers, and after the deadline for the homework, we'll be posting answers and having discussion about the questions.

Until you give me the answer.