VIDEO

Last week when we learn English part II , Mr. Marsigit shows some videos to us. That videos are contain about mathematics matter like trig, logarithm, etc. There is the resume about that video :

Ø Video one

In this video we can see a little child that still have an age 10 years olds but have very high aplomb. He can orate at ease and without have cold feet in front of many people, in its speech he converses about trust. That is part of his orated :

I believe in me. Do you believe in me?

I can be anything because you believe in me.

Ø Video two

Knowing_ mathematics

In this video, there is two boys who sing about “What you know about math?”. In their singing, they explain about what we discuses in mathematics.

In mathematics, we discuses:

§ Significant figure

§ Matrix

§ Trigonometry

§ Limit

§ Exponent

§ Integral

§ Phi

§ Ln (x)

Ø Video three

English Solving Problem

In here, we have some questions:

1. Let the function f be defined by f(x) equals x plus one. If 2 times f(p) equals twenty, what is value of f(3p)

Answer:

f(x) equals x plus one

2 times f(p) equals twenty

f(p) equals ten

We substitution f(p) and f(x)

f(p) equals p plus one equals ten

So p equals nine.

Because p equals nine, (3p) equals twenty-seven

And the value of f(3p) equals 3p plus one

f(3p) equals twenty-seven plus one

Equals twenty eight

2. In the xy-coordinate plane, the graph of x equals y square minus four intersects line l at (O, p) and (five, t). What is the greatest possible value of the slope of graph

x equals y square minus four

Line l: m equals y_two minus y_one all over x_two minus x_one

Equals t minus p all over five minus 0

Ø Video four

Properties of logarithms

Log base b of x equals y similar with b to the power of y equals x

Log base ten of x equals log x; log base c of x = ln x (natural logarithms)

Example:

1. Log base ten of one hundred equals x

Ten to the power of x equals one hundred

Ten to the power of two equals one hundred

x equals two

2. Log base two of x equals three

Two to the power of three equals x

Eight equals x

So log base two of eight equals three

3. Log base seven of one forty nine equals x

Seven to the power of x equals one forty nine

Seven to the power of x equals one seven to the power of two

Seven to the power of x equals seven to the power of minus two

X equals minus two

Log base b of M times N equals log base b of M plus log base b of N

Log base b of M over N equals log base b of M minus log base b of N

Log base b of x to the power of n equals n log base b of x

Expend:

Log base three of x square times y plus one in bracket all over z to the power of three

Equals log three of x square times y plus one in bracket minus log three of z to the power of three

Equals log three of x square plus log three of y plus one in bracket minus log three of z to the power of three

Equals two times log three of x plus log three of y plus one in bracket minus three times log three of z

Ø Video five

Graphs of a rational function

Let the function f be defined by f(x) equals x plus two all over x minus one when x equals one

We can substitute one to that function

So, f(x) equals one plus two all over one minus one

And we get that denominator is zero

We know that if the denominator is zero, so the result can’t be definition. Because rational function denominator can not be zero

Example:

y equals x square minus x minus six all over x minus three for x equals three

Answer:

1. We can substitute three to that function

So, y equals three square minus three minus six all over three minus three

And we get that denominator is zero

We know that if the denominator is zero, so the result can’t be definition.

2. We can factored the function

y equals x square minus x minus six all over x minus three

y equals x minus three in bracket times x plus two in bracket all over x minus three

y equals x plus two

y equals three plus two

y equals five

With the second ways, we can get the answer of the function.

Ø Video six

English Trigonometry

If we have a right triangle, we can search value of sin, cos, and tan :

§ Sin alpha equals opposite over hypotenuse

§ Cos alpha equals adjust over hypotenuse

§ Tan alpha equals opposite over adjust

Example:

If we have a right triangle, which adjust is 3 and hypotenuse is 5 and opposite is 4.

Count of: a. sin alpha

b. cos alpha

c. tan alpha

Answer:

With Pythagoras theorem, we find that the opposite of the right triangle is four.

a. Sin alpha equals opposite over hypotenuse

Sin alpha equals four over five

b. Cos alpha equals adjust over hypotenuse

Cos alpha equals three over five

c. Tan alpha equals opposite over adjust

Tan alpha equals four over three