Senin, 20 April 2009

VIDEO

VIDEO 1

DO YOU BELIEVE??

This video is about the speech of a boy. He is speech about belief to him self and belief to all people which can give a spirit and motivation for audiences. The boy said that he is believe to him self. And then he is ascertain to audiences that what they are believe to the boy and ascertain again what the audiences believe that he can stand up at stage and talk over twenty thousand visitors.
According to him self, here is the real, all event in our live is the real. He can do anything, be anything, create anything, dream anything, and become anything. This is because we are believe him and around up on him. We are better because next week were are showing up in our school. One hundred fifty seven dollars is over. What is we need from you ? we are just need a belief.
No matter we are come from, we have a same chance. We have a potential which can our development. We are the one who lovers with sometimes it feels like no one else. Do you believe?
The boy also said to his teachers, he is very love his teachers and he is needs his teachers, and then he said thanks.
The speech from the boy can give us a spirit and motivation. Not just him who said thanks to teachers but i and all people must thanks to the our teachers because we are very needs them till the end. And don’t forget, we are must remember what the boy said. To do anything, we must believe our self and the ones which we needs to do anything is belief from the other people or the people around us.


VIDEO 2

What you know about math??

This video is about the song which descript mathematic. Maybe most people who doesn’t know what is mathematic because they are fear mathematic and consider that mathematic is difficult. The song descript all about mathematic. The singer have known about mathematic. What will we find in mathematic?
The tool which familiarly with mathematic is calculator. Calculator can help us to solve the problem of mathematic. A kinds of study object which learned in mathematic, they are trigonometry, geometry etc. Mathematic is a mystery which make us burned up to solve. What is the sense of every problem? For example about limit, what is the sense of limit? Why we must get a limit, who is the founded and how they are found this formula?? Plenty more the problem of mathematic which make us burned up. Of those is a riddle which needs a problem. So, what you know about math??


VIDEO 3
Video 3 is about mathematic solving problem
1. The figure above shows the graph of y equals g(x). when x equals two, so y equals one. x equals three, g(three) equals zero. If the function h(x) equals g(two times x) plus two. What is the value by h(x) when x equals one?

Answer:
At the picture we can see that x equals two, y equals one and when x equals three, so y equals zero.
h(x) equals g (two times x) plus two.
h(one) equals g (two times one) plus two.
h(one) equals g (two) plus two.
h(one) equals three.

So, when x equals one, the value of h(x) is three.

2. Let the function f be defined by f(x) equals x plus one. If two times f(p) equals twenty, what is the value of f(three times p)?

Answer:
f(x) equals x plus one
 two times f(p) equals twenty.
f(p) equals p plus one equals ten.
p equals nine.

x equals three p.
x equals twenty seven.
f(twenty seven) equals twenty seven plus one.
f(twenty seven) equals twenty eight.

So, the value of f(three times p) is twenty eight.

3. In the xy coordinate plane, the graph of x equals y square minus four intersects line l at (zero, p) and (five, t). what is the gradient and then find the line equation?

Answer:
Gradient is m

x equals y square minus four.
Line l equals m equals y two minus y one in bracket over x two minus x one in bracket.
gradient equals t minus p in bracket over five.
gradient equals one.

the line equation
y minus three equals one open bracket x minus zero close bracket y minus three equals x minus zero.
y equals x minus zero plus three.

So, the line equation is y equals x plus three.


VIDEO 4

PROPERTIES OF LOGARITHMS

Logarithm x with base number b equals y.
Equivalent b to the power of y equals x.
Notation: Logarithm x with base number ten equals Logarithm x, so Logarithm x with base number e equals natural Logarithm x.

Example:
Logarithm one hundred with base number ten equals x.
Ten to the power of x equals one hundred.
Ten to the power of two equals one hundred.
So, x equals two.

Logarithm x with base number two equals three.
Two to the power of three equals x.
Eight equals x.
So, Logarithm eight x with base number two equals three.

Logarithm one over forty nine with base number seven equals x.
Seven to the power of x equals one over forty nine.
Seven to the power of x equals one over one seventh square.
Seven to the power of x equals seven to the power of negative two.
X equals negative two.
Logarithm open bracket M times N close bracket with base number b equals logarithm M with base number b plus logarithm N with base number b.
Logarithm open bracket M over N close bracket with base number b equals logarithm M with base number b minus logarithm N with base number b.
Logarithm open bracket x to the power of n close bracket equals n times logarithm x with base number b.

Expand:
Logarithm open bracket x square times open bracket y plus one close bracket in bracket over z cube close bracket with base number three.
Equals logarithm x square times y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals logarithm x square with base number three plus logarithm y plus one in bracket with base number three minus logarithm z cube with base number three.
Equals two times logarithm x with base number three plus logarithm y plus one in bracket with base number three minus three logarithm z with base number three.


VIDEO 5

PRE CALCULUS

Graph of rational function

 can have discontinuities
 has a polynomial in the denominator.

Look at the sample:
f(x) equals x plus two in bracket over x minus one in bracket.
When x equals one, this function become :
f(one) equals one plus two in bracket over one equals one minus one.
Equals three over zero.

The denominator is zero, this is a bad choice.
Insert zero, when x equals zero, so the value of y is negative two.
Insert one, when x equals one, so the value of y is zero. It is break in function graph.
So, if the function sketch in graph it is discontinuity, because it is break when x equals zero.

Rational function don’t always work this way. Not all rational functions will give zero in denominator. For the example f(x) equals one over open bracket x plus one close bracket. This function is never zero.

Rational function, denominator can be zero.
Rational function
x equals zero in denominator, three is no value for the function break in graph. Break consist of two ways, this is missing point syndrome. For the example: y equals open bracket x square minus x minus six close bracket over x minus three in bracket. This function will break when x equals three. This is not possible and not allowed. The answer is zero over zero. Zero to factor top and bottom. The smart solution is y equals open bracket x minus two close bracket times open bracket x plus two close bracket over x minus three in bracket. This function become y equals x plus two. When x equals three, this function become y equals three plus two, y equals five.
It is no problem. So, don’t forget that division by zero can b avoided.


VIDEO 6

ENGLISH TRIGONOMETRY

Trigonometry is one of knowledge from mathematic. The word of Trigonometry coming from two words Greek, it is “Trigonom” (triangle) and “metron” (measure). Therefore trigonometry is knowledge which learned about elements of triangle as study’s object.

If we have known there are triangle ABC with sides a equals three, sides b equals five, and sides c equals four. Known angle A equals x and angle C equals alpha.

What is the value of sinus alpha?
For abridge commit to memory, we use Soh Cah Toa.
Soh is sinus equals opposite over hypotenus.
So, sinus alpha equals four over five.

What is the value of cossinus alpha?
We use Cah.
Cah is cossinus equals adjustion over hypotenuse.
So, cosinus alpha equals three over five.

What is the value of tangent alpha?
We use Toa.
Toa is Tangent equals opposite over adjustion.
So, Tangent alpha equals four over three.

What is the value of tangent x?
The value of tangent x equals three over four. This is invers from tangent alpha.

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