my observation videos

 Do you believe me..???
A child that very to believe to self, he sincere efforts to consider all people,that he can!!!
Don’t confuse a child potency.

 What do you know about mathematics?
I know all about mathematics.Mathematics is one of science. Related with mathematics are trigonometry, calculus, exponent, curve, line, etc.

 Graph of rational function
- Rational functions denominator can be zero.
- Break (missing point syndrome), because the value is zero, it is not allowed in graph.
- Removable singularity when x = 0 and the value is 0/0
 To study of Trigonometry
To suppose that a opposite equal 3
a adjacent equal 4
a hypotanus equal 5
so,for to find sinus, cosines, and tangent we can to use a aimple formula :
SOH : sinus opposite hypotanus ,so to sin value :three over five.
CAH : cos adjacent hypotanus, so to cos value : four over five.
TOA : tangent opposite adjacent ,so to tangent value :three over four.

 Logarithm
• Log base b and x equals y b to the y equals x
• Log base 10 and x equals log x  Log base e and x equals ln x
• Log base b and M times N in bracket equals log base b and M plus log base b and N
• Log base b and M over N in bracket equals log base b and M minus log base b and N
• Log base b and x to the n in bracket equals n times log base b and x
Some mathematics exercises :
1. The graph y = g(x). if the function h is defined by h(x) = g(2x) + 2. what is the value of h(1) ?
Note : the picture shows that g(2) = 1
Answer :
h(x) = g(2x) + 2
h(1) = g(2) + 2
h(1) = 1 + 2
h(1) = 3
2. Let the function f be defined by f(x) = x + 1. If 2f(p) = 20, what is the value of f(3p) ?
Anwer :
f(x) = x + 1
2 f(p) = 20
f(p) = p + 1 = 10
p = 9
x = 3p = 27
f(27) = 27 + 1
f(27) = 28

3. In the x y coordinate plane, the graph of x = y2 – 4 intersects line l at (0,p) and (5,t), what is the greatest value of the slope of l ?
Answer :
x = y2 – 4
line l = m = y2 – y1/x2 – x1
m = t – p/5
4. If log base 7 and 1/49 equals x. What is the value of x ?
Answer :
7 to the x equals 1/49
7 to the x equals 7 squared
7 to the x equals 7 to the -2
x equals -2
5. what is the value of log base 3 and x squared times open bracket y plus 1 closed bracket all over z cubed ?
Answer :
• Log base 3 and x squared times open bracket y plus 1 closed bracket minus log base 3 and z cubed
• Log base 3 and x squared plus log base 3 and y plus 1 in bracket minus 3 log base 3 z cubed
• 2 log base 3 and x squared plus log base 3 and y plus 1 in bracket minus 3 log base 3 and z cubed