EXPRESSING THE VIDEO WHICH I HAVE SEEN IN ENGLISH PART 2 LESSON BY RIZAL AHMAD 08301244039 PMNR08

VIDEO 1
DO YOU BELIEVE
After seeing video entitling do you believe, I embrace some of words said by the remarkable speaker is which still occupy the class of fifth elementary school
Do you believe?
I can do anything, dream anything, and become anything.
I can do anything, dream anything, and become anything because you believe me.
Let’s me ask you a question that’s easy.
Do you believe on my classmate.
Do you believe that every singles can graduate where classmate, school, and collage.
You better, because next week, I join with your school.
Believe yourself, trust yourself, and mean yourself.
Because, we need you.
Please, believe yourself!


VIDEO 2
WHAT YOU KNOW ABOUT MATH
There's a lot of existing subject mater is which is the included in coverage of mathematics lesson. From the video, only mentioning just some of items or matter any kind of learned in mathematics study. There are some significant figure in math, that is the equals sign, the of plus sign, the multiplication sign, and the division sign. In mathematics there'is also ln open bracket x close bracket of is so-called number natural. then limit x come near do not till. And there's also how to make moderate a function. Others there's also lesson of trigonometry etc., there's also form of the graph of sine, and graph of exponential function.


VIDEO 3
SOLVING PROBLEM GRAPH
Let he function f be defined by f open bracket x close bracket equals x plus 1, if 2 times f open bracket p close bracket equals 20, what is the value of f open bracket 3 times p close bracket.
What is f when x equals 3 times p?
f open bracket x close bracket equals x plus 1, equivalent 2 times f open bracket p close bracket equals 20, equivalent f open bracket p close bracket equals p plus 1, equivalent p plus 1 equals 10, equivalent p equals 9. Insert p equals 9 into x equals 3 times p, so, x equals 3 times 9, x equals 27. f open bracket 27 close bracket equals x plus 1, f open bracket 27 close bracket equals 27 plus 1, f open bracket 27 close bracket equals 28.
In the x times y co-ordinate plane, the graph of x equals y to the power of 2 minus 4 intersects line l at open bracket o comma p close bracket and open bracket s comma t close bracket.
x equals y to the power of 2 minus 4,
line l : m equals open bracket y2 minus y1 close bracket over open bracket x2 minus x1 close bracket equals open bracket t minus p close bracket over open bracket s minus o close bracket.
make the assistive dot, if x equals o hence y equals p, and if x equals s hence y equals t.
hence its graph can be made.


VIDEO 4
PROPERTIES OF LOGARITHMS
log base b of x equals y equivalent b to the power of y equals x
notation : log base 10 of x equals log x; log base e of x equals ln x, ln x is natural logarithm.
Example :
1. log base 10 of 100 equals x, value of x is …
log base 10 of 100 equals x equivalent 10 to the power of x equals 100, equivalent 10 to the power 2 equals 100, so, the value of x is 2.
2. log base 2 of x equals 3, value of x is …
log base 2 of x equals 3 equivalent 2 to the power 3 equals x, equivalent 8 equals x, so, the value of x is 8.
3. log base 7 of open bracket 1 over 49 close bracket equals x, value of x is …
log base 7 of 1 over 49 equals x, equivalent 7 to the power of x equals 1 over 49, equivalent 7 to the power of x equals 1 over open bracket 7 to the power 2 close bracket, equivalent 7 to the power of x equals 7 to the power of negative 2, so, the value of x is negative 2.

log base b of m times n equals log base b of m base b plus log 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 times log base b of x
expand :
log base 3of open bracket x to the power of 2 times open bracket y plus 1 close bracket over z to the power of 3 close bracket,
equivalent log base 3 of open bracket x to the power of 2 times open bracket y plus 1 close bracket close bracket minus log base 3 of 2 to the power of 3,
equivalent log base 3 of x to the power 2 plus log base 3 of open bracket y plus 1 close bracket minus log base 3 of z to the power of 3.


VIDEO 5
GRAPH OF A RATIONAL FUNCTION
can have discontinuities
has a polynomial in the dominator
off limit
f open bracket x close bracket equals open bracket x plus 2 close bracket over open bracket x minus close bracket, when x equals 1, hence f open bracket x close bracket equals 3 over 0, that’s no good, bad, bad, bad.
Bad choice, break in function graph, insert x equals 0, hence f open bracket 0 close bracket equals open bracket 0 plus 2 close bracket over open bracket 0 minus 1 close bracket (rational). Insert x equals 1, hence f open bracket 1 close bracket equals open bracket 1 plus 2 close bracket over open bracket 1 minus 1 close bracket, equivalent 3 over 0(no rational).
Break discontinuity
Rational function don’t always work this way
Rational function denominator can be zero
Polynomial (smooth unbroken curve)
There is no value for the function
Break in the graph
Missing point on the graph
y equals x to the power of 2 minus x minus 6 in bracket over x minus 3, if we insert x equals 3, hence the graph is not possible, not feasible, and not allowed. This is missing point syndrome.
to overcome it, factor top and bottom
y equals open bracket x minus 3 close bracket times open bracket x plus 2 close bracket in square bracket over open bracket x minus 3 close bracket, so that y equals x plus 2, so that if we insert x equals 3, y equals 3 plus 2 equals 5.


VIDEO 6
TRIGONOMETRY
There is a special triangle with angle is phi. To look for the sine, cosines or tangent from a the special triangle can use the way of knocking by heart its formula easier, that is soh cah toa; by o is opposite, that is length mark with lines in a the triangle which ahead time angle is phi, h is hypotenuse, that is hypotenuse from a the special triangle, and a is adjacent, that is side residing in side from angle phi. Intend the soh is sine of phi equals opposite over hypotenuse. And intend from cah is cosines equals adjacent over hypotenuse. And intend from toa is tangent equals opposite over adjacent.
example:
There is a triangle with the angle phi and opposite is equals 4, hypotenuse equals 5, and adjacent equals 3. Look for the value from sin phi, cosines phi, and tangent phi.
Soh; sinus phi equals opposite over hypotenuse, sinus phi equals 4 over 5.
Cah; cosines phi equals adjacent over hypotenuse, cosines phi equals 3 over 5.
Toa; tangent phi equals opposite over adjacent, tangent phi equals 4 over 3.