CLASS COMMENT 11/03/11

CLASS COMMENT 11/03/11

Today is class was very interesting because of it we were seeing abit on the numbers in English on how to write and how they read but mostly because the teacher knew how to teach and also made ​​it fun and interesting. but my favorite part was when we asked questionsin English and we had to answer in English.

HYPERBOLA

HYPERBOLA

In mathematics a hyperbola is a curve, specifically a smooth curve that lies in a plane, which can be defined either by its geometric properties or by the kinds of equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, which are mirror images of each other and resembling two infinite bows. The hyperbola is one of the four kinds of conic section, formed by the intersection of a plane and a cone. The other conic sections are the parabola, the ellipse, and the circle (the circle is a special case of the ellipse). Which conic section is formed depends on the angle the plane makes with the axis of the cone, compared with the angle a line on the surface of the cone makes with the axis of the cone. If the angle between the plane and the axis is less than the angle between the line on the cone and the axis, or if the plane is parallel to the axis, then the conic is a hyperbola.

Hyperbolas arise in practice in many ways: as the curve representing the function f(x) = 1 / xin the Cartesian plane, as the appearance of a circle viewed from within it, as the path followed by the shadow of the tip of a sundial, as the shape of an open orbit (as distinct from a closed and hence elliptical orbit), such as the orbit of a spacecraft during a gravity assistedswing-by of a planet or more generally any spacecraft exceeding the escape velocity of the nearest planet, as the path of a single-apparition comet (one travelling too fast to ever return to the solar system), as the scattering trajectory of a subatomic particle (acted on by repulsive instead of attractive forces but the principle is the same), and so on.

Each branch of the hyperbola consists of two arms which become straighter (lower curvature) further out from the center of the hyperbola. Diagonally opposite arms one from each branch tend in the limit to a common line, called the asymptote of those two arms. There are therefore two asymptotes, whose intersection is at the center of symmetry of the hyperbola, which can be thought of as the mirror point about which each branch reflects to form the other branch. In the case of the curve f(x) = 1 / x the asymptotes are the two coordinate axes.

Hyperbolas share many of the ellipse's analytical properties such as eccentricity, focus, and directrix. Typically the correspondence can be made with nothing more than a change of sign in some term. Many other mathematical objects have their origin in the hyperbola, such ashyperbolic paraboloids (saddle surfaces), hyperboloids ("wastebaskets"), hyperbolic geometry (Lobachevsky's celebrated non-Euclidean geometry), hyperbolic function (sinh, cosh, tanh, etc.), and gyrovector spaces (a non-Euclidean geometry used in both relativity and quantum mechanics).

CONVERSATION

1.-what is your name?

My name is Sebastian.

2.-how old are you?

I am 18 years old.

3.-where were you born?

I was born in Cocula townin Guerrero state México country.

4.-where do you live?

I live in atlixtac townin Guerrero state in México country.

5.-what day is today?

Today is Friday

6.-what date is today?

Today is February 25^th.

7.-what time is it?

It is 6:06 o’clock.

8.-what did you eat?

I ate a pizza.

9.-at what time does the class end?

The class at 8:30

10.-which is the homework?

The homework is the transcription of rate of change.

11.-what year is this?

It is 2011 twothause end.

PRAYERS

1.-my office is downtown.

It’s downtown.

2.-tom has a new radio.

He has a new radio

3.-miss Johnson and Mrs. Wilson are cousins.

They are cousins.

4.-those blue buses go downtown.

They go downtown.

5.-phi lip and john and I are in the same English class.

We are in the same English class.

6.-miss Johnson comes to class every other day.

She comes to class every other day.

7.-mr, and Mrs., Marshall are Americans.

They are Americans.

8.-my father and I always go to work on the same bus.

We always go to work on the same bus.

9.-our house isn’t very old.

It isn’t very old.

10.-you and your sister never come to class late.

They never come to class late.

11.-miss Scott is nineteen years old.

She is nineteen years old.

12.-the Anderson children go to class late.

They go to class late.

13.-you and Carl are good English students.

You are good English students.

14.-the teacher often reads aloud in class.

He often reads aloud in class.

15.-Mr. Jones isn’t a tall man.

He isn’t a tall man.

16.-my sister Mary often fixes supper at our house.

She often fixes supper at our house.