Waching daily Feb 2 2017

An Open letter of Atty. Regal Oliva, a Cebuano Lawyer, says Vice President Leni Robredo and

Anti-Marcos groups to shut up because it's their fault for lacking the foresight.

Atty.

Olivia response to Robredo's quote saying "like a thief in the night", describing

the decision of Marcoses buried at the hero's cemetery.

Read the full open letter below: Marcos is NOT buried in secret.

It is covered by LIVE media with Military guards present to honor him.

Families and supporters were all there.

So where is the secret there?

Just because you were not told of the schedule of his burial, secret agad?

Kailangan talagang may matanggap ka na memo?

Saba ka diha!

You claim that Marcos declared Martial Law as a surprise ("like a thief in the night"),

and now he does it again in death.

HELLO?!?

You know that his burial was imminent, you should have prepared for it.

Just because di natapos ang Philippine terno mo, para ma talbogan mo si Meldy, galit ka

agad?

Shut up ka!

The Marcos family respected due process, they never buried the late Ferdinand before getting

a Supreme Court decision dismissing the petition to stop the burial.

There was no law that was violated.

Nothing is illegal in burying him.

A decision was made by the final tribunal.

They could have buried Ferdinand a long time ago - in secret.

But they did not.

They respected the Filipino people.

So now that it is time for him to be buried, can you just at least respect the bereaved

family and the dead?

What you can do now is sour grape and shout all you want.

Wounds are healing, and there you are mastering the art of being a bacteria by causing more

injury to a wounded race.

And you dare shout "HINDI BAYANI SI MARCOS"?

Gaga!

Alam namin hindi siya Bayani, Ferdinand ang name nya.

Go talk to Agbayani and Fernando, silang dalawa ay Bayani.

Tala-tala ka ha.

For more infomation >> CEBUANO LAWYER LAMBASTED LENI: "HINDI BAYANI SI MARCOS"? GAGA! ALAM NAMIN HINDI SIYA BAYANI! - Duration: 2:48.

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XJTAG DFT Assistant for OrCAD Capture - Duration: 1:33.

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short - Duration: 0:03.

I like em

short and

THICK

yeah

For more infomation >> short - Duration: 0:03.

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Rational function - Functions - Mathematics - Pre-university Calculus - TU Delft NEW - Duration: 8:42.

Hello.

The quotient of two quantities is called their ratio.

A rational function is the quotient, or ratio,

of two polynomials.

Let us look at an example.

Suppose my trip to work involves 3 km of city traffic,

which always takes me 6 minutes which is 1/10th of an hour.

Subsequently I have to drive 20km on the freeway with a speed v,

which depends on the amount of traffic.

Thus the time on the freeway is 20km/v.

What will be my average speed?

Well, it is total distance divided by total time.

The distance is 23 km.

The time spend is 1/10 of an hour for the city part and 20/v for the part on the freeway.

Thus the average speed is 23/(1/10+20/v).

Multiplying both numerator and denominator by v we obtain 23v/(1/10 v+ 20).

This rational function is a quotient of two linear polynomials.

In general, rational functions are precisely those functions

you can make with a variable, numbers,

addition, multiplication and division.

These functions can all be written as a fraction P/Q where P and Q are polynomials.

Of course, Q can not be the polynomial which is always

0.

Note that constant functions are also polynomials, so by taking the denominator to be the constant

polynomial Q=1, we see that any polynomial is also a rational

function.

Of course those are not the rational functions that interest us in this video.

You do get functions we could not define before, even in the simple cases where the numerator

is constant, or the denominator is just a power of x.

Note that we cannot define a rational function at a point x where the denominator equals

zero.

This means that the zeros of the denominator are not in the domain of the function.

You can calculate with rational functions, just as you are used to with ordinary fractions.

In particular if you want to write a sum of two rational functions as a single fraction,

you have to put both terms over a common denominator.

For example if we add 1/(x-2) + 1/(x^2+2) we use (x-2)(x^2+2) as a common denominator.

The result is (x^2+x)/[(x-2)(x^2+2)].

Typically factored expressions are easier to work with,

so refrain from expanding the denominator unless you have a good reason to expand.

In general it is not easy to draw the graph of a rational function.

A characteristic feature of graphs of rational functions are the asymptotes.

For example, the function (2x^2+2x-1)/(x^2+x+1) has a horizontal

asymptote for x to infinity.

This means that for very large x the graph approaches a horizontal line very closely,

in this case the line y=2.

Notice that the graph also approaches this line for very large negative x,

so it is also an asymptote for x to minus infinity.

A rational function has a horizontal asymptote if the degree of the numerator is at most

the degree of the denominator.

You can find the location of a horizontal asymptote for a rational function by dividing

both numerator and denominator by the largest power of x in the denominator.

For very large x the terms 1/x, 1/x^2 etcetera tend to zero,

so both numerator and denominator become a constant.

In this way you can determine the height of the horizontal asymptote.

A rational function can also have vertical asymptotes.

Consider f(x)=1/(x-2).

For x equal to 2 the denominator becomes zero and the function is not defined.

For x slightly more than 2 this becomes 1 over a small positive number,

which is very big.

For x slightly less than 2 it is 1 over a small negative number,

which is large negative.

Therefore the graph has a vertical asymptote at x=2.

A rational function can only have vertical asymptotes at zeros of the denominator.

Now consider g(x) = (x-1)/[(x-1)(x-2)].

This can be simplified to f(x).

However g is not defined at x=1, whereas f is.

Apart from this difference in domain the functions are equal.

In the graph, we denote the fact that 1 is not in the domain

by adding an open circle at x=1.

Notice that g has no vertical asymptote at x=1 even though this is a zero of the denominator.

This is because the numerator also vanishes at x=1.

Finally consider the graph of x+2+ 1/(x+1).

For very large values of x the 1/(x+1) becomes very small,

and the graph of the function thus approaches the line y=x+2.

Similarly for very large negative x.

The line y=x+2 is called an oblique asymptote.

A rational function can only intersect the x-axis if the numerator is zero.

But beware, as you saw in a previous example,

if numerator and denominator have the same zero,

then this point is not in the domain of our function.

Thus it is not a zero of the rational function.

The zeros of a rational function are precisely those zeros of the numerator for which the

denominator is non-zero.

The locations of the zeros can heavily influence what the graph of a rational function looks like.

For example compare (x-2)/(x-1)(x-3) to x/(x-1)(x-3).

Both graphs have vertical asymptotes at x=1 and x=3,

the zeros of the denominator.

Since the degree of the numerator is less than the degree of the denominator both graphs

have a horizontal asymptote at y=0.

But the first function has a zero in between the two asymptotes at x=2 and the second function

has a zero to the left of either asymptote at x=0.

Therefore the two graphs are quite dissimilar.

To summarize: Rational functions are the quotient of two

polynomials.

A rational function can only be defined for the x-values for which the denominator is

unequal to zero.

You add rational functions by making the denominators equal.

The graph of a rational function often has asymptotes.

Horizontal asymptotes can be found by dividing both numerator and denominator by the highest

power of x occurring in the denominator.

Vertical asymptotes can be found by looking at the zeros of the denominator.

The zeros of the rational function are found at the zeros of the numerator.

Good luck with the exercises!

For more infomation >> Rational function - Functions - Mathematics - Pre-university Calculus - TU Delft NEW - Duration: 8:42.

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WILL YOU PRESS THE BUTTON ? - Duration: 3:41.

how are you guys my name is AnDewFly

have you ever had a choice

to do something or to get

but it happens something bad

or you can not lose

now there is a game

will you pres the button

where you will need to decide

to press it or not

let's see

you win special lottery, literally becoming rich beyond wildest dreams

but

everyone you love wil hate you and the only people who'll ever care about your troubles will always do it for the monny Also, you become ill atthe slightest provocation

I will choose ,don't press

it's stupid

you gain super strrngth ang indestructible bones

but

if you jump at all your bones will explode

no i don't press

you can have anything you want for the rest of your life

but

you can only speak to two friends and will never be able to marry or have a family

forever alone

you can live forever

but

have to die differently each day

you can have all the woman you want

but

you are super fat

you super fat

you can fly like superman

but

you can only fly white completely naked

yes i'm press

you will be given a fully functional lightsteber

but

everybody on the planet suddenly despises Star Wars

fuu Star Wars sucks

will guys i hope you like this video and you subscribe of my channel

mi channel follov my twitter my instagram

goodbye

For more infomation >> WILL YOU PRESS THE BUTTON ? - Duration: 3:41.

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Kiya Nokarani Se Sex Humbistari Kar Sakte Hai | Can You Sex With Servent? - Duration: 3:21.

Kiya Nokarani Se Sex Humbistari Kar Sakte Hai | Can You Sex With Servent

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