Youtube online news: Auto news on Youtube Feb 21 2019

Can you tell me how to find the area of this

regular polygon?

Let me give you a hint by drawing these dotted

lines. Did it click? The area of this polygon

can be looked at as the sum of the areas of

these triangles. The area of this regular

polygon will be the sum of the areas of these

8 triangles.

Similarly, we can find the areas of most of

the regions bounded by straight lines. We

simply have to decompose the areas into triangles

and rectangles and our job is done. But what

about the areas of regions bounded by curved

lines. We can't fit the triangles and rectangles

there right?

As we mentioned previously, this is where

Calculus comes into picture. In this video,

we will see a general process called Integration

to calculate the area of any region, not matter

what its shape is. The beauty here is that

this process is also based on the idea of

limits, something that we're now confident

about.In ancient times, people knew how to deal

with regions bounded by straight lines. But

finding the area of even a simple curved shape

like a circle posed a problem. In one of our

previous videos, we saw that the Greek mathematicians

had found some headway on it. Do you remember

the idea that was used here?

If the circle is placed between two squares

like this, we get a rough estimate of the

area of the circle. It'll be between the

areas of the two squares.

And as we consider regular polygons with even

greater number of sides, our approximations

will get better. Eventually, the area of the

polygons will approach the area of the circle.

This method of approximation is called the

method of EXHAUSTION. Let's look at another

major achievement of the Greeks in finding

such areas.

Look at this curve. You may have seen or learned

about this type of curve. Do you know what

it is called? It is called a PARABOLA.

Let's say we have a horizontal straight

line like this and this point below it.

Now if we consider points such that their distance

from this line and this point is the same,

we get a parabola. So the distance of all

the points from the parabola to this straight

line will be the same as their respective

distance from this point.

Remember seeing a similar curve in our previous

videos? The stone thrown by Nora into the

sea follows a parabolic path. Actually, whenever

we throw something up, the object always comes

down following a parabolic path. Unless it's

straight up and down!

A Greek mathematician named Archimedes was

successful in finding the area of the region

between a parabola and a chord like this.

He did it by the method of exhaustion. In

the case of circles, we had seen that to exhaust

the area of the circle, regular polygons were

used. But notice that the regular polygons

will not work here. Can you think of other

shapes we can use here?

Archimedes realised that TRIANGLES would work

here. How? And why?

First he chose a point 'C' on the curve

such that the tangent line at this point is

parallel to the this chord. Now look at his

triangle. Let's say the area of this triangle

is 'alpha'. Then it turns out that the

area of this region is equal to 'four over

three' times the area of this triangle,

which is alpha. How?

If we look at these two regions, we can draw

two more triangles like this. And it turns

out by geometry that the sum of the areas

of these two triangles is one fourth of the

area of triangle 'A B C'. So now the area

of this region will be equal to 'alpha plus

one fourth of alpha plus the area of this

remaining region.

Did you understand the idea here? If we keep

drawing triangles further and further we will

eventually cover the whole region. We get

that the sum of the areas of the triangles

added in each next step is equal to one fourth

of the sum of the areas of triangles in the

previous step. So we get infinite terms like

this. And it turns out that their sum approaches

'four over three' times 'alpha'.

Note that I said APPROACHES here. As we saw

previously, we cannot add infinite terms manually.

As we keep adding the terms, we can only find

whether the sum approaches a number or not.

So we get the area bounded by this curved

line and this chord to be 'four over three'

times the area of this triangle. Note that

this is the point at which the tangent is

parallel to this chord.

This result proved by Archimedes is called

the quadrature of parabola.

But did you notice a problem here? To find

the area bounded by different kinds of curved

lines, each time we have to find out which

shapes will exhaust the given area.

If we have area bounded by curved lines like

this, how will we find the area then? We need

to develop a GENERAL method to find the area

of any region.

It turns out that the answer to our problems

is RECTANGLES. In the next part we will see

the general method used to find area of ANY region.

Let's consider this area. It is bounded

by this curve, these two lines parallel to

the Y axis, and the X axis.

We want to find the area under this curve.

But you may ask why! We will see in our upcoming

videos that most of our problems related to

finding areas and volumes can be reduced to

this problem.

For example, let's say we want to find the

volume and area of this solid, which is an

elongated sphere. Now let's cut this solid

like this and look at its cross section. If

we know how to find the area under this curve

and above the X axis, then our job is done.

We can see that rotating this area by three

hundred and sixty degrees will give us the

'volume of the solid'. So this area was

enough to find the volume of the solid.

Also, once we understand the method of integration,

we will see that it can be applied to find

the length of a curve. So if we know the length

of this curve, rotating it by three hundred

and sixty degrees will give us the surface

area of this solid. We will understand it

in detail in our upcoming videos. Now let's

get back to our problem of finding the area

under this curve.

We know that according to these co-ordinate

axes, a curve can be looked at as being made

up of the different points. Each point on

the curve is specified by its 'X' co-ordinate

and 'Y' co-ordinate.

Now tell me which points on this curve will

have the minimum and maximum value for their

'Y' co-ordinate?

These will be the two extreme points of the

curve 'A B'. Let's say the minimum 'Y'

value is 'alpha' and the maximum 'Y'

value is 'beta'.

Now by taking these two points, we draw two

rectangles like this. For better understanding

let's draw these rectangles in two separate

figures.

So we see that the area under this curve will

be GREATER than the area of this rectangle.

The area of this rectangle will be 'alpha'

time 'this length'. And this length is

'D minus C'. Hence the area of the rectangle

will be 'alpha times D minus C'. And it

can be seen that the area under this curve

will be LESS than the area of this rectangle;

which is 'beta times D minus C'.

Let's denote the area under this curve by

'A'. And we denote the area of this rectangle

as 'S one' with a dash below it. This

dash below, tells us that the area of this

rectangle is less than 'A'. Similarly

we denote the area of this rectangle also

with 'S one' but with a dash above it.

Now focus on the figure on the left. We divide

this interval into two equal parts and draw

two rectangles like this.

Now compared to the previous case, we get

a better estimate of the area. Let's denote

the SUM of the areas of these rectangles by

'S two dash'. We can see that it will

be greater than 'S one dash' but less

than 'A'. Similarly if we divide this

interval into more parts, let's say 'N

parts', then we will get an even better

estimate. These rectangles are drawn by taking

the minimum value of 'Y' in each part.

So we can see that as we divide this interval

even further, we will get closer and closer

to the area 'A'.

In a similar manner, in the figure on the

right, we divide the interval into 'N'

parts and draw these rectangles. Note that

these rectangles are drawn by taking the MAXIMUM

'Y' value not the minimum. So the sum

of the areas of these rectangles, 'S N dash'

will be less than 'S one dash' but greater

than 'A'.

Now as we keep dividing this interval further

and find the sum of areas of such rectangles,

we will get closer to the area 'A'. This

is the general approach to find the area.

It is called Integration.Integrating is

nothing but combining one thing with another

to form a whole!

Using this method we can find area under any curve.

What we did here is that we first divided

this interval into small parts. Then by taking

the minimum and maximum 'Y' value in each

part, we calculated the two approximate areas.

The first one will always be less than the

area under this curve and is hence called

the lower sum. And the second one will always

be greater than the area under this curve

and is hence called the upper sum. Now as

we divide this interval into smaller and smaller

parts, we see that the lower sum and upper

sum approach a number, which is the area under

this curve. This is the basic idea of integration.

We will learn about it in detail in our upcoming

videos.

So until now we have an idea of the limit

process. We saw how we can apply it to find

the instantaneous rate of change of any quantity.

The process of finding this rate is called

differentiation. In this video, we saw how

it is applied to find the area under a curve.

And this process is called Integration.

In the next video, we will look at one of

the most important ideas of mathematics called

functions. We can understand the true essence

of all these ideas once we understand concept

of functions. We will also see in our upcoming

videos, that in a way, differentiation and

integration are OPPOSITE processes. To stay

updated, subscribe to our YouTube channel

by clicking on this somewhat of an illuminati sign!

For more infomation >> What is Calculus- Integration? - Duration: 12:52.

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What If SCP-1981 Was Real? - Duration: 8:12.

In this era of information, in this mass sprawl and endless digital stream of algorithmic

data - truth has become a very rare and important commodity.

When we are confronted with an overabundance of fact - that fact either needs to be founded

or unfounded - consistent, never changing.

But what if there existed an object - that didn't exist in either of those realms.

What if, every time you observed its record - a new stream of information was presented,

a new dialogue - a new allusion to something a little bit more sinister than the last?

And what if that record was something historically renowned - a momentous political speech in

a fearful bygone era that was recorded and witnessed by hundreds of millions of people.

Well - it certainly sounds confusing, but one thing remains the same - it's terrifying.

And well - more importantly, what the hell has it got to do with US President Ronald

Reagan?

All will be revealed shortly.

Hopefully.

Hello Internet and welcome back to the most inquisitive channel on YouTube - Life's

Biggest Questions - as per usual, I'll be your disembodied floating voice Jack Finch

- as today, we curiously ask the question - What If SCP-1981

Was Real?

Roll the clip.

Now, let's not beat about the bush - because there is a lot to this particular anomalous

object that may get watered down in translation - but when we really look at the bare bones

of SCP-1981 - its concept is incredibly unnerving.

In 1983, US President Ronald Reagan took to the podium at the National Association of

Evangelicals in Orlando, Florida - to address the nation on his hard-line stance against

the Soviet Union during the height of the Cold War.

He referred to the their continued geo-political escalation as the march of An Evil Empire

- and depicted nuclear warfare as a righteous extension of the age old struggle between

good and evil.

This speech was incredibly important, and served to reshape the public's reserved

stance toward nuclear warfare.

But - well, the SCP Foundation has a particularly differing set of circumstances surrounding

this event - to say the least.

As the record states, SCP-1981 is a standard Betamax tape - with the words, "RONALD REGAN

CUT UP WHILE TALKING" handwritten on an adhesive sticker in felt tip pen.

Laboratory analysis indicates that SCP-1981 is made of ordinary material, and serial numbers

seem to correspond with home cassette tapes produced in September of 1980.

It was initially encountered by a filing clerk in the Ronald Reagan Presidential Library

in 1991 - who upon watching it immediately alerted local police - with the intent to

find the tapes creator to press obscenity charges.

A low-level police investigation was conducted, at which point the Foundation was quickly

alerted and secured SCP-1981 into their possession.

But - it's just a video tape, right?

Of Ronald Reagan's Evil Empire Speech.

Right?

What's so scary about that?

Well - SCP-1981 appears to be a home video recording of former United States President

Ronald Reagan delivering his Evil Empire speech to the National Association of Evangelicals

at Sheraton Twin Towers, Orlando, Florida on the 8th of March 1983.

However, in this instance - at 1 minute 10 seconds in, the speech begins to deviate heavily

- eventually resembling no known speech ever made by Ronald Reagan.

Beginning at approximately 5 minutes, multiple incisions, lacerations and penetration wounds

can be seen being slowly inflicted - though no corresponding source of these wounds are

visible.

Despite suffering bodily harm that would likely incapacitate an ordinary person, Reagan will

continue to deliver his speech until either his vocal cords are severed or the tape degrades

to static at 22 minutes and 34 seconds.

Uh - yeah.

Erm - are you guys seeing this?

However - upon rewinding SCP-1981 and hitting playback, Reagan will deliver an entirely

new speech - often radically different from the ones previously observed.

Topics have included torture, human trafficking and ritual sacrifice.

On top of that though - the trauma inflicted upon Reagan also appears to be divergent - with

impalement - and - uh - well - some stuff that we can't really describe being observed.

And erm - it kind of also gets worse.

In roughly one in seven viewings of this tape - a figure clothed in black robes with a conical

hood will emerge as a random member of Reagan's press detail - referred to as SCP-1981-1.

The last known sighting of this figure was during a routine observation of the tape sometime

in 2005 - where the strange hooded figure stood at Reagan's podium for roughly 20

minutes before a single frame flashed with the words I SEE YOU colored in red.

That's a quick way to ruin anyone's day, right?

But what does it all mean?

Why is US President Ronald Reagan referring to future catastrophic events, such as 9/11

and an encroaching global cataclysmic event - way back in 1983?

What if this whole thing was real, and Reagan wasn't referring to the Soviet Union - but

a much more terrifying Evil Empire.

In one instance of SCP-1981's observation - Reagan states, QUOTE - For the first time

we have risen, and I see we are being consumed.

I see circles that are not circles.

Billions of dead souls inside containment.

Unravellers have eaten (this) country's moral fabric, turning hearts into filth.

I'm from a kingdom level above human.

What does that yield?

A hokey smile that damns an entire nation.

END QUOTE.

Phew.

That's some pretty heavy stuff.

But when we boil this concept down, philosophy often confronts the exact same idea.

If we accept that our reality is one of many conduits of an infinite universe, a mass sprawl

of multiverses - where in some cases, humanity is a fairly decent, honorable civilization

- that often tries to do the right thing - but very often also does the wrong thing.

We can also accept that there equally could exist a reality of complete and utter, pure

evil.

Where every choice and divergent path was based on hatred and pain and violence.

A truly evil empire.

In his 2014 book - Our Mathematical Universe, renowned cosmologist and physicist, Max Tegmark,

confronts a very similar phenomena.

His model isn't anchored in that of quantum mechanics and string theory - but instead

in modal realism - a doctrine proposed by philosopher David Lewis - that every possible

way that things COULD have gone - every consistent, total history of a universe - is just as real

as our own universe.

In this reality, you may safely make the train on your morning commute - but in another reality,

you missed it - and then you lost your job, and your spiraled into a very different lifestyle.

Imagine that - but times infinity.

If we accept this model - then, I'm sorry to break it to you - but SCP-1981 IS real.

If that was the case - then the occurrence of an anomalous video tape is the least of

our problems - because it would only serve to herald the emergence of a much more Evil

Empire for humanity to contend with.

Let's take some comfort in the fact that it's just fiction then, right?

Right?

Guys?

Well - on that note, I'm pretty terrified - so that's all we've got time for in

today's video.

Why don't you let us know your thoughts about SCP-1981 in the comment section down

below.

Before we depart though, let's read out some of your more entertaining comments from

our recent SCP-based-video.

First up - the … the erm …. The SCP Foundation says -- Stop letting civilians know this kind

of information.

--- Uh.

Oh, crap.

I'm in trouble again, aren't I?

Erm… next up, Gryphon says -- Is Jack Finch part of the O5 Council?

-- Hah … hah.

Yeah.

Right.

Guys, seriously - you need to stop.

And finally - Mark Taylor says -- If the SCP Foundation were real, how do you think someone

would go about seeking employment with them?

-- Well, Mark.

What a - what a ridiculous question.

The Foundation isn't real.

It's completely fictional.

I promise.

Really.

Well - on that note - I better head back down to the memetics lab.

Cheers for sticking around all the way until the end.

If you were a fan of this video, make sure to hit that thumbs up button - as well as

that subscribe bell - and I'll be seeing you in the next one.

As per usual, I've been your disembodied floating voice Jack Finch - you've been

watching Life's Biggest Questions - and until next time.

You take it easy.

For more infomation >> What If SCP-1981 Was Real? - Duration: 8:12.

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What happens at a Mormon church on Sunday? - Duration: 4:01.

if you've never been to a worship service of the Church of Jesus Christ of

Latter-day Saints the first thing you'll notice is that we lead you into a dark

room, strap you to a chair and we brainwash you with bright images of

green jello and the Book of Mormon.

False. That's totally false.

Hopefully nobody stopped before the intro and was like, "I knew it!" That's not

what happens in church. In most of the world, we have church services on Sundays

but that can vary depending on which country you're in. If you live in Jordan,

we worship on Fridays, if you're in Israel it will be Saturday, according to

local customs. Normally church services would last for three hours but a revised

schedule was implemented at the beginning of 2019 and now it's only two

hours. The first meeting is called sacrament meeting. It lasts for one of

those two hours. Everyone, men, women and kiddos all gather in the chapel area.

Everyone wears their Sunday best but we're not gonna throw you out if you

don't have a white shirt and tie. Anyway, we'll sing a hymn, have a prayer, and then

participate in the sacrament. During the sacrament, members each eat a small piece

of bread and drink a tiny cup of water symbolizing the flesh and blood of Jesus

Christ in remembrance of his atoning sacrifice. Visitors are free to

participate as well or not, whatever you're comfortable with.

We don't kneel during sacrament meeting nor do we recite pre-written prayers

except when priesthood holders bless the sacrament. We don't have a band playing

music, it's usually just a piano or an organ. It's all very mellow.

After the sacrament, the congregation listens to a few prepared messages.

There's no official pastor that teaches from the pulpit every week. Instead,

congregation leadership asks different members of the congregation to prepare a

message to share the following week or whenever.

So in sacrament meeting you'll hear a few brief spiritual messages from

average members. They might talk about faith in Jesus Christ, repentance

or the Holy Ghost or great aunt Kathy's rash. Who knows. The meeting closes with

another hymn and a prayer. You might even recognize some of the

hymns. They're not always exclusive to our church, you've probably seen some of

them in your congregation. For the second hour of church, we attend a rotation of

smaller, more specific classes. Children will always attend what we call primary.

For teenagers and adults, the class you attend depends

on the weak one week. Men and women will separate and attend different

classes. We call the adult woman's class Relief Society and the men's class

Elders Quorum. Teenagers also attend the class young women with the other young

women and the young men with the other young men

the following week they'll hold Sunday school during the second hour again

youth and adults have separate classes but Sunday school is not separated by

gender adults will most likely have a variety of Sunday School classes to

choose from if it's your first time attending you'll probably want to go to

the Sunday School class called gospel principles which teaches the basic

beliefs of our faith so you don't get lost in the other classes but if you

somehow end up being the only person in the class and you feel weird you can go

to whichever class you want if that schedule sounds complicated don't freak

out here's a super simple graphic the church released for the new two-hour

meeting scheduled and if you get lost don't hesitate to ask questions ask the

members there or if you can find a couple of missionaries in the

congregation they're gonna be a great resource for you so make sure to

introduce yourself that's a brief overview of what a latter-day Saint

Church service looks like but if you're really interested in what it looks like

go check it out for yourself if you're gonna be surprised by anything it'll be

by just how normal we are there if you're wondering where a latter-day

saint church building is or when meeting times are there's a link in the

description just pop in your zip code and it tells you everything you need to

know if you learn something or want to learn more make sure you subscribe to

the channel leave a comment ask us a question check out the links in the

description and have a great day

For more infomation >> What happens at a Mormon church on Sunday? - Duration: 4:01.

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FOX TV - Investing Show: What is happening to house prices and property? - Duration: 6:06.

The property market is slowing and house price inflation has eased back but is this just being driven by London and the commuter belt? While London has sunk to the bottom of the house price league, the rest of the country is not doing so badly

However, the property market has history of following where London leads - meanwhile, buy-to-let is no longer bolstering prices

Andrew Montlake, of Coreco, joins the Investing Show to explain what is happening

In the second part of the show, Richard Hunter, of Interactive Investor, looks at the Government's recent RBS share sale and why it was willing to sell at a loss

Meanwhile, with Lloyds doing well financially but treading water on the stock market, he also looks at how bank shares compare

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For more infomation >> FOX TV - Investing Show: What is happening to house prices and property? - Duration: 6:06.

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'Survivor: Edge Of Extinction' Twist Explained: What Is It & How Will It Change The Game? - Breaking - Duration: 3:33.

Ahead of the season 38 premiere of 'Survivor,' we're breaking down the season's biggest twist, 'Edge of Extinction

' Here's what you need to know about the BIG change to the game! Survivor producers are constantly bringing new elements to the game, and season 38 may feature the biggest twist EVER! This season, Survivor: Edge of Extinction, will test players like never before, and Jeff Probst explained just how ahead of the Feb

20 premiere. The 'Edge of Extinction' twist won't come into play until someone is voted out of the game, and they'll be left with a major decision

"You don't know this, it's a secret, but when you're voted out, you're going to leave Tribal and walk around the corner and finally come to this lighted torch with a signpost," Jeff told Entertainment Weekly

"And the signpost will say, 'You have a decision to make. If you're done playing and you want your adventure to end, keep walking

If, however, you want a chance to get back in the game, take the torch and get in the boat

' That's all you know." The players will have NO idea what they're in for if they choose to stay in the game, and will have to decide on the spot if they want to "go into the unknown" for another shot at the game

"Where they're going is Edge of Extinction," Jeff said. "You will arrive at night in pitch black with a lighted torch to a beach

And the first person there will be the only person there — and that's it." Those who choose to go to the Edge of Extinction won't have ANY idea what's to come, but Jeff promised viewers that it will not be a cakewalk

"Everything that you do will require way more effort than you were doing back on that thing that you thought was tough called Survivor," he admitted

"And you're doing it all on the idea that you have a shot to get back in." Luckily, if it gets to be too much, players are allowed to throw in the towel — all they have to do is "raise a sail and a boat will come get [them]

" Survivor has used a similar twist called Redemption Island in seasons past, where players who were voted out got to compete in challenges against each other to earn a spot back in the game

However, this will be much more intense and difficult than that. "I just want to go deeper with Survivor," Jeff said

"I love the game play. I love the twists and idols. We've worked hard to create this element of gameplay

Now we want to see…why are people playing? Is it really just to find an idol and win a million dollars? Okay, then if you're voted out, you'll probably go home

But if there's something stirring inside you and you're posed with this question of 'Wait, I could maybe get back in?' then maybe you'll push yourself a little further and see what you're made of

" Jeff did not reveal how the players will get their opportunity to get back in the game, but it's safe to say that the cast will be pushed more than ever before this season

Survivor: Edge of Extinction features 14 new players and four returning ones. The returning contestants are Kelley Wentworth, Joe Anglim, Aubry Bracco and David Wright

The new season premieres Feb. 20 at 8:00 p.m. on CBS.

For more infomation >> 'Survivor: Edge Of Extinction' Twist Explained: What Is It & How Will It Change The Game? - Breaking - Duration: 3:33.

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Breaking Celeb News | Breaking down Manny Machado's deal and what it means for Bryce Harper - Duration: 7:49.

For more infomation >> Breaking Celeb News | Breaking down Manny Machado's deal and what it means for Bryce Harper - Duration: 7:49.

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Drew Barrymore's Ex-Husbands: Who Was She Married To? | Heavy.com - Duration: 4:53.

Drew Barrymore's Ex-Husbands: Who Was She Married To? | Heavy.com

Drew Barrymore has been one of the biggest names in the entertainment industry for decades, and now, she's appearing as a judge on CBS' The World's Best.

The actress has spent a lot of time in the limelight, and people have grown curious about her relationship history.

Who is Barrymore married to? Who has she been married to in the past? Here's what you need to know.

Barrymore has been married three times.

She was first married to Jeremy Thomas from 1994 to 1995.

Then, she was married to Tom Green from 2001 to 2002.

Finally, she married Will Kopelman in 2012.

The pair divorced in 2016.

They share two children together, Olive and Frankie.

Along with being married to the aforementioned men, Barrymore has been rumored to have dated a number of actors, including Jason Segel, Ed Westwick, and Justin Long.

In December, she opened up to ET about her divorce from Kopelman, saying, "Once upon a time… I remember reading an article that said I had gotten my happy ending after all… Looking at this picture, it sure looks that way.

And then, like many times in life for all of us, our plans change and our dreams are adjusted.".

She continued, "But that doesn't mean that every second wasn't worth it.

And if that DeLorean time machine pulled up every day, I would do it all over again… After all, I did get my dream.

2 healthy girls.

Will and I continue to marvel at what we made and try to be the best co parents we can be.

It's not always easy and the point is…nothing in life is.

But it doesn't mean that any bitter outweighs the sweet!".

Is she rumored to be with anyone these days? The actress has not been linked to anyone recently.

She was last seen hanging out with Justin Long in September 2018.

Daily Mail reported the news, writing that the paparazzi had stolen pictures of the former couple laughing and smiling together.

They went on to write, "Insiders say that the pair have always remained friends, but have been spending more and more time together since Justin split from his girlfriend, CHVRCHES artist Lauren Mayberry.".

Since then, they haven't been reported together, leading us to think that Barrymore is flying solo these days.

For now, the focus appears to be on her children.

In an interview with Good Housekeeping, the actress said that she's keeping her children out of the entertainment industry until they're 18.

She went on to joke, "I'd never let them become child actors… They'll have a chastity belt, a tracker system, no cell phones and we'll live in the middle of nowhere.

In reality, I'll just lead by example by being spirited, classy, consistent, philanthropic, hardworking, loyal to my friends and there any second they might need me.".

Be sure to watch Drew Barrymore as a judge on The World's Best airing on CBS Wednesdays at 9pm ET/PT.

For more infomation >> Drew Barrymore's Ex-Husbands: Who Was She Married To? | Heavy.com - Duration: 4:53.

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