VIDEO 1
DO YOU BELIEVE!!!!!!!
DO YOU BELIEVE!!!!!!!
This video is about the word of a son of four classes in the United States. He spoke to him about the trust and confidence to all who can provide motivation and encouragement for the audience. The child said that he believes himself. Then he belive.If ensure that the audience is associated with the current era, he was Obama’s cild. Because in a smarted and can affect many people. He can do anything, be anything, create anything, dream anything, and become something. This is because we believe in him and about him. We better because next week that will appear in our schools. One hundred fifty-seven dollars ended. What we need from you? we only need faith. Time he was talking, people are very enthusiastic with what he says. People - people are very impressed with the words that are tolk from the mouth of a small child to class four. So many people who applaud when he was talking. Where is the content of his speech can be useful for many people.
VIDEO 2
What you know about math ?
What you know about math ?
This video is about the song which descript mathematic, I think it’s one of alternatives to attract people to study mathematics. In mathematic we can not apart from the symbol of mathematic, for the example is aritmathic operation symbol. This symbol is plus, minus, multiplied, and divided. In mathematic we also meet a significant figure. And then a kinds of number. 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, exponents, algebra, geometry etc. Mathematic is a mystery which make us burned up to solve.
Mathematics is not only about numbers, it is also contains sketched graph and symbols. For example sinus graph, phi (п), greater than (>), and so on. In the equation, there are arithmetic operations such as addition, subtraction, multiplication, and division.
VIDEO 3
ENGLISH SOLVING PROBLEM
1. Let the function f be defined by f ( x ) equals x plus one , if 2 f ( p ) equals 20, what is the value or f ( 3p ) ?
Answer:
f (x) equals x plus one and 2f(p) equals 20
→ f(3p) equals ………….
F(x) equals x plus one
→ 2 f(p) equals 20
F(p) equals 10 → f(p) equals p plus one equals 10
→ p equals 9
So, f(3p) equals f(27) equals twenty seven plus one equals twenty eight.
2. In the x y coordinate plane, the graph of x equals y square minus four intersects line l at (zero, p) and (five, t). what is the value of p and t? and then find the line equation.
Answer:
Gradient equals m.
We know the equation 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.
We have known that the intersects (zero, p) and (five, t). so, m equals t minus p in bracket over five. Substitute the coordinate in equation.
x equals y square minus four.
Equivalent zero equals p square minus four.
Equivalent p square equals four.
p equals two or negative two.
According to the graph, the value which serve turn is negative two.
x equals y square minus four.
Equivalent five equals t square minus four.
Equivalent t square equals nine.
t equals three or negative three.
According to the graph, the value which serve turn is three.
So, the value of p is negative two and t equals three.
Gradient equals t minus p in bracket over five.
Gradient equals three minus negative two in bracket over five.
Gradient equals five 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.
Answer:
Gradient equals m.
We know the equation 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.
We have known that the intersects (zero, p) and (five, t). so, m equals t minus p in bracket over five. Substitute the coordinate in equation.
x equals y square minus four.
Equivalent zero equals p square minus four.
Equivalent p square equals four.
p equals two or negative two.
According to the graph, the value which serve turn is negative two.
x equals y square minus four.
Equivalent five equals t square minus four.
Equivalent t square equals nine.
t equals three or negative three.
According to the graph, the value which serve turn is three.
So, the value of p is negative two and t equals three.
Gradient equals t minus p in bracket over five.
Gradient equals three minus negative two in bracket over five.
Gradient equals five 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.
Remember of Exponent function :
A to the power of m times a to the power of n equals a to the power of m plus n in bracket.
A to the power of m over a to the power of n equals a to the power of m minus n in bracket.
So, logarithm “b” with a base number “a” equals n →b equals a to the power of n. logarithm “a” with a base number “g” equals x →a equals g to the power of x. logarithm “b” with a bare number “g” equals y →b equals g to the power of g. What do you now, logarithm “a” times in bracket ?
Answer :
To assumed :
Logarithm “a” with a base number “g” equals x→a equals g to the power of x.
Logarithm “b” with base number “g” equals y→b equals g to the power of g.
↔ A times b equals g to the power of x times g to the power of y
↔ A times b equals g to the power of x plus y in bracket.
↔ Logarithm “a” times “b” in bracket with a base number “g” equals logarithm “g” to the power of x plus y in bracket with a base number “g”. So, logarithm g to the power of x plus y in bracket with a base number “g” equals x plus y in bracket times logarithm “g” with a base number g equals x plus y.
↔ So, logarithm “a” times “b” in bracket with a base number “g” equals logarithm “a” with a base number “g” plus logarithm “b” with a base number “g”.
↔ A over b equals g to the power of x over g to the power of y. A over b equals g to the power x minus y in bracket. Logarithm a over b in bracket with a base number “g”. Logarithm a over b in bracket with a base number “g” equals x minus y in bracket times logarithm g with a base number “g”. Logarithm a over b in bracket with a base number “g” equals x minus y. So, logarithm a over b in bracket with a base number “g” minus equals logarithm a with base number “g” minus logarithm b with a base number “g’.
Example:
1. Logarithm twenty five with base number five is……..
Answer : Logarithm twenty five with base number five equals logarithm five to the power of two with base number five equals two times logarithm five with base number five equals two.
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.
Remember of Exponent function :
A to the power of m times a to the power of n equals a to the power of m plus n in bracket.
A to the power of m over a to the power of n equals a to the power of m minus n in bracket.
So, logarithm “b” with a base number “a” equals n →b equals a to the power of n. logarithm “a” with a base number “g” equals x →a equals g to the power of x. logarithm “b” with a bare number “g” equals y →b equals g to the power of g. What do you now, logarithm “a” times in bracket ?
Answer :
To assumed :
Logarithm “a” with a base number “g” equals x→a equals g to the power of x.
Logarithm “b” with base number “g” equals y→b equals g to the power of g.
↔ A times b equals g to the power of x times g to the power of y
↔ A times b equals g to the power of x plus y in bracket.
↔ Logarithm “a” times “b” in bracket with a base number “g” equals logarithm “g” to the power of x plus y in bracket with a base number “g”. So, logarithm g to the power of x plus y in bracket with a base number “g” equals x plus y in bracket times logarithm “g” with a base number g equals x plus y.
↔ So, logarithm “a” times “b” in bracket with a base number “g” equals logarithm “a” with a base number “g” plus logarithm “b” with a base number “g”.
↔ A over b equals g to the power of x over g to the power of y. A over b equals g to the power x minus y in bracket. Logarithm a over b in bracket with a base number “g”. Logarithm a over b in bracket with a base number “g” equals x minus y in bracket times logarithm g with a base number “g”. Logarithm a over b in bracket with a base number “g” equals x minus y. So, logarithm a over b in bracket with a base number “g” minus equals logarithm a with base number “g” minus logarithm b with a base number “g’.
Example:
1. Logarithm twenty five with base number five is……..
Answer : Logarithm twenty five with base number five equals logarithm five to the power of two with base number five equals two times logarithm five with base number five equals two.
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.
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.
VIDEO 6
ENGLISH TRIGONOMETRY
ENGLISH TRIGONOMETRY
Trigonometry is a branch of mathematics that discuss about the angle on each quadrant. Where trigonometry also related to the triangular carpenter's square. Which is used to find the value of sine, cosine, tangen, cosekan, cekan, and cotangen.Where the sinus is opposite over hypotenus.
cossinus equals adjustion over hypotenuse.
Tangent equals opposite over adjustion.
