Homework Help Thread

[db]

Physics:
A plane takes off with the combined action of engines and wings producing 100000N of force at 60 degrees above the ground. The plane rises at a constant velocity in the vertical and continues to accelerate in the horizontal direction. What is the mass of the plane? What is the horizontal acceleration?

Calculate the X component and Y component force. Then use the vertical force divided by 9.81 to get the Mass. For the Horizontal Acceleration, X's component divided by Mass to get the Acceleration.

To find the components,

I believe it is

X = 100000 * Cos(60) = Horizontal Force
Y = 100000 * Sin(60) = Vertical Force

[Hits]

well i dunno if this helps hitsugayaT but to find mass you would do this:
M=F:G
so mass= force divided by gravity
gravity on earth is 10.
so you would divide by 10
g=9.8m/s btw. i just learned that today, lmao.

[yumisan]

well..mostly we will use 10 instead for 9.8...because it is easier to count in whole number..than having decimal numbers as answer.well it you want an accurate answer than it might as well use 9.8
thats what i learnt..

[blueice760]

Calculate the X component and Y component force. Then use the vertical force divided by 9.81 to get the Mass. For the Horizontal Acceleration, X's component divided by Mass to get the Acceleration.
To find the components,
I believe it is
X = 100000 * Cos(60) = Horizontal Force
Y = 100000 * Sin(60) = Vertical Force
You know i really like DragonBlade's brain you have a nice logical braiin.
Now:
since the plane is not accelerating in the vertical direction this means that there are no resultant forces thus using the components DragonBlade gave the vertical component of the lift force must balance the gravitational force
thus
100000sin(60) = m(9.81)
m = 8827.99 kg

[strydr]

Does anyone have personal programmed *.java files, cause i wanna see your coding with any sort of problem... cause i suck at this stuff??
You can PM me if you do have.
sTrYdR

[kuchiki aki]

i need help on my social studies project which is about world war two. i don't know how the reverse outcome of the battle impacted on the end of the war. also i have to put what the winner of a battle gained and what the loser lost. however, i really suck at social studies so cant seem to get these. but i think i only need who won the battles. please help me! i'm desperate! i can't find it!

The Battles are:
The Battle of Midway
The Invasion of Italy
The Battle of Stalingrad
The Battle of El Alamein

[s3r3n1ty]

strydr, I will email you the school project im busy on-its highly incomplete tho!

[Draffut]

i need help on my social studies project which is about world war two. i don't know how the reverse outcome of the battle impacted on the end of the war. also i have to put what the winner of a battle gained and what the loser lost. however, i really suck at social studies so cant seem to get these. but i think i only need who won the battles. please help me! i'm desperate! i can't find it!
The Battles are:
The Battle of Midway
The Invasion of Italy
The Battle of Stalingrad
The Battle of El Alamein

well, lets see:

The Battle of Midway: the Americans beat the Japanese, giving us equal footing with them in the Pacific Ocean. This allowed us to eventually get the upper hand. Had we not figured out thier plot, they would have most liekly taken out our carriers one by one, crippling us.

The Invasion of Italy: I dont know, it was a very bitter invasion, well over a year long, with massive casualties on either side. the Allies eventually won, but i dont know hat your teacher wants.

The Battle of Stalingrad: This is important, and i personally belive if Germany hadn't been stupid enough to break it's alliance with Russia and attack, they may have very well won the war. As it was, they attacked Germany and were eventually beaten in Stalingrad, at probobly the bloodiest battle in human record. when the russians crushed the German's, it was a huge turning point in the war, becuase now russia was on the offensive against germany, and germany had lost a HUGE chuck of it's military. had it won, my best guess is russia would have gone into turmoil, and allowed germany to focus all it's attention on england and america.

The Battle of El Alamein: I dont know much about this one, but i'll see what i can do. There were 2 different battles here, both in the same year. I think they are refering to the second one though. The allies won it, and pretty much won the war in Africa. How much this affected the rest of WW2 is very highly debatable.

[s3r3n1ty]

Here some history...

http://en.wikipedia.org/wiki/Battle_of_Midway

http://en.wikipedia.org/wiki/First_Battle_of_El_Alamein

http://en.wikipedia.org/wiki/Second_Battle_of_El_Alamein

http://en.wikipedia.org/wiki/Italian_Campaign_%28World_War_II%29

http://en.wikipedia.org/wiki/Battle_of_Stalingrad

[kuchiki aki]

thank you Draffut and S3r3n1ty! that info helped me a lot!

[strydr]

strydr, I will email you the school project im busy on-its highly incomplete tho!
KEWL! didnt know who Andrew was at first, but kewl... i will see what you did, cause a chess program sounds interesting... THANKS, send me the complete stuff soon k!

[kuchiki aki]

i need help again on my social studies project again! can someone give me an example of a two sentence or three sentence speech that the loser of the battle of midway would say about losing? i only need one example so i can understand it and make up my own mini speeches.

[Draffut]

What about losing? What caused them to lose, what happened afterwards, there personal opinion on the fight, anyhing in particular?

[s3r3n1ty]

KEWL! didnt know who Andrew was at first, but kewl... i will see what you did, cause a chess program sounds interesting... THANKS, send me the complete stuff soon k!


Its gonna take a while(+- 2 weeks), bcuz im busy with other things right now!

[재]

kuchiki aki, do you know that you can search in google for your Q's. it takes time for an asnwer here, but it's hard to look on google too, but faster.

[darkthief]

What's the definition for definition?

[strydr]

Its gonna take a while(+- 2 weeks), bcuz im busy with other things right now!

Thats kewl, i know how busy SouthAfrican CapeTown school is especially June, you probably havent been on for a while too...
Even with UCT entrance exams last week...were you there??

[s3r3n1ty]

strydr:No, I was busy studying for exams. I couldnt start stuying earlier because I had many projects to finish! (I take 2 more subjects than normal)

[dragoneyes001]

i need help on my social studies project which is about world war two. i don't know how the reverse outcome of the battle impacted on the end of the war. also i have to put what the winner of a battle gained and what the loser lost. however, i really suck at social studies so cant seem to get these. but i think i only need who won the battles. please help me! i'm desperate! i can't find it!
The Battles are:
The Battle of Midway
The Invasion of Italy
The Battle of Stalingrad
The Battle of El Alamein

battle of Midway:

if the US lost Midway the japanese would have had free reign in the pacific australia and Hawaii would have been lost and the Chinese would have also lost effectively creating a japanese empire that could not have been beaten afterwards. the same could be said if they had followed through with the third wave on pearl harbor and invaded it.

the invasion of Italy:

had the US not been able to hold ground during the invasion of italy the European theater would have been lost to the allies this was the weakest link and the only option for landing any sizable force the allies needed to have forces on the continent before they could even try to land in france or else they would not have stood any chance at all.

battle of stalingrad:
had stalingrad fallen the Russian army would have folded the germans would have secured an unending supply of oil and industry as well as millions of slave labour to produce an unstoppable military force the germans would have effectively won the second world war at that moment and we'd all speak German today.

The Battle of El Alamein:
had the English lost their foothold in Africa another major supply of oil to the allies would have disappeared the African continent and the middle east were important resources for either side whomever held them denied the other of those resources.

all these battles revolved around keeping access to resources open australia Russia and the middle east were important for this only italy had a different goal where its importance was to distract the germans into moving forces away from france.

[B1uEM4oM4o]

What's the definition for definition?

A statement conveying fundamental character.
A statement of the meaning of a word, phrase, or term, as in a dictionary entry.
The act or process of stating a precise meaning or significance; formulation of a meaning.

The act of making clear and distinct: a definition of one's intentions.
The state of being closely outlined or determined: “With the drizzle, the trees in the little clearing had lost definition” (Anthony Hyde).
A determination of outline, extent, or limits: the definition of a President's authority.

The clarity of detail in an optically produced image, such as a photograph, effected by a combination of resolution and contrast.
The degree of clarity with which a televised image or broadcast signal is received.

[dragoneyes001]

What's the definition for definition?
A statement conveying fundamental character.
A statement of the meaning of a word, phrase, or term, as in a dictionary entry.
The act or process of stating a precise meaning or significance; formulation of a meaning.
The act of making clear and distinct: a definition of one's intentions.
The state of being closely outlined or determined: “With the drizzle, the trees in the little clearing had lost definition” (Anthony Hyde).
A determination of outline, extent, or limits: the definition of a President's authority.
The clarity of detail in an optically produced image, such as a photograph, effected by a combination of resolution and contrast.
The degree of clarity with which a televised image or broadcast signal is received.

is there a question here?

[g1g5]

Is a 54 MBPS connection fast (comparatively)?

[dragoneyes001]

Is a 54 MBPS connection fast (comparatively)?
you asked this already in computers & tech.
and what are you comparing it to?
what kind of connection are you refering to internal, chipset, network, internet, hardware....etc...
for a chipset its painfully slow current chips are around 1-6Gig/s depending what outlet.
internet: would be screaming fast. adsl: .5-2.0 mbps. cable: 1.0-3.0 mbps.average.
network:
http://i25.photobucket.com/albums/c58/dragoneyes001/firewirevsscsi.gif
hardware: varies a lot and would be too much to list because so many items exist.

[g1g5]

I mean internet connection, it says in the window: -

Wireless Network Connection Status

Status: Connected
Network: CP
Duration: 00:10:28
Speed: 54.0 Mbps

Is this fast, and if so why is my download not moving any faster than on my other coumputer?

Also since you are an ALTERNATIVE PETA member go to the debate thread, http://forums.bleachportal.net/forumdisplay.php?f=9, we could use your help.

[dragoneyes001]

I mean internet connection, it says in the window: -
Wireless Network Connection Status
Status: Connected
Network: CP
Duration: 00:10:28
Speed: 54.0 Mbps
Is this fast, and if so why is my download not moving any faster than on my other coumputer?
Also since you are an ALTERNATIVE PETA member go to the debate thread, http://forums.bleachportal.net/forumdisplay.php?f=9, we could use your help.

thats not your actual internet speed.

its the wireless connections speed which is way above your possible ISP speed so comparatively its plenty fast.

[yunnie]

okay anyone want to help me with SAT studying? any tips of some sort? i've already taken it , but got a low score of 1400.. and i read and bought a book..

[hitsugaya131]

My tip is to take an SAT prep class if you already haven’t and also a class on SAT tips
Like you probably already know about the point system….cant think of much else at the moment…
Hope that this helped a little

[yunnie]

hmmm...ill consider that, b/c i know it cost money xD
anyone else?

[baconbleach]

Why is the structure of DNA critical for the coding of protein?
Anyone got a nice sentence/paragraph to say why? Whenever I try, i make up a whole paragraph of blah that confuses even myself.

As for studying for SATs.. aren't there tonnes of forums and help sites? Maybe you should check those out and library always helps. Haha sorry I'm not much help; don't do SATs in my country. What was the 1400 out of?

[crushed_petals]

homework? x.x awesome..

[~*StÓÑy RèL0ÂÐeD™]

yea...awesome...as for me i dont even do my school homework...haha

[Shinigami_Josh]

@bacon it isnt really the dna semi splits and makes the rna witch in turn makes chain of proteins so depending on order depents on whats made

@zan more like gravitaon between earth and sun

or comparison to distance from earth to sunn to the sice of the earth
witch i have don and its funny not to sure off the top of my head

to scale earth = 1mm (0.0001 meters)
earth to sun distance ~ 25 meters away rough

[m4jqp]

i'd ask a question but im pretty sure no one would be able to do them

[Kazuma Shawn]

Erm..Anyone really good in Pure Mathematics here???

[Achilles]

can anyone tell me what is this * +4 degrees water rule*
for my chemistry homework. ^^

[urusai!]

greendragon: hm... what's the question? I'll see if I can help.

[Alienor]

can anyone tell me what is this * +4 degrees water rule*
for my chemistry homework. ^^
I am not absolutely sure, but I think that 4°C is the temperature for which water has the highest density: the temperature for which a same quantity of water occupies the least place. Under that, well it's starting to freeze, and as you know, ice is less danse than water. And above, it becomes more and more fluid, so less and less dense, until it becomes gas, which is the less dense state of water. Check it, though.

[Bak3d on H1gh]

Havin a little trouble looking through wikipedia for four deadly cross species viruses, by cross species i mean human to animal not monkey to cat or something. Preferable ones with lots of info on them and are particularily grusome. Its for a bio project, i would do it but i someone here already knows why search through a library worth of info.

[Achilles]

thanx for the info Alienor. ^^
google is no match to you. ^^

[재]

well Not exactly a Homework.. on Wednesay, Im going to have exam, and I will probably need to make up some sort of FoodChain..
so can anyone make me one?? I'll give you rep for this simple jobs :D
thanks

[Yuki]

A Foodchain, ya? I used to do some of those at school. It's always hard to came up with one. I found that pic on the net. I hope that would help you ;) :

http://www.wdcs.org/dan/imagelib.nsf/graphics/aad2/$file/foodweb.gif

:Domo

[Arei]

A food chain?

Heres a chain I found: phytoplankton → copepod → fish → squid → seal → orca

Or do you need a food web? or a pyramid?

[Z_Blitz]

/Merged wirth "Homework help thread"

[재]

@Shadow: that's more like a food web imo, the one like Arei, but.. can anyone give an even simpler one XD Because my English is very bad XD and it's kinda hard to translate those to my language XD
Thanks, and sorry Z-Blitz, i didn't know there is this thread, I think you should pin it
but I rep you both, thanks for sparing your time :D

[Arei]

What I posted was a food chain.

Here is an example of a food web:

http://upload.wikimedia.org/wikipedia/en/f/fc/Foodweb.png

[재]

yeah yeah, I know, I was talking to Shadow that time, your one is a food chain, but I need a simpler one, because I need to kinda translate it, since my language is not English =)

[TenkiStar Owns You]

Havin a little trouble looking through wikipedia for four deadly cross species viruses, by cross species i mean human to animal not monkey to cat or something. Preferable ones with lots of info on them and are particularily grusome. Its for a bio project, i would do it but i someone here already knows why search through a library worth of info.

Well it is believed that the HIV virus emerged after a seemingly benign virus crossed the simian-human barrier... Do they all have to be viruses specifically? Either way, check out this Wikipedia page (http://en.wikipedia.org/wiki/Zoonosis) for a list of diseases that might fit your criteria. Good luck!

[yumisan]

yeah yeah, I know, I was talking to Shadow that time, your one is a food chain, but I need a simpler one, because I need to kinda translate it, since my language is not English =)
is it something like this? well that is the simplest i can do actually,infact this is the one i used for my exam too.
lol :redbiggri
http://img295.imageshack.us/img295/715/untitlediz9.png

[VIDTID]

Well since the old thread died i thought i might as well make a v2 ^^
Lets face it homework sucks.... and you want to get it done with the least amount of effort possible right?
Then here it is:
This is the thread for all you high schoolers who need help with your homework :p
State your subject and the problem and hopefully someone should be able to help....:winking56

I personally should be able to help people with Biology,Chemistry, physics and geography so if anyone wants to take the other subjects thats fine^^

[Xkavanger]

Well

What if we needed help for something no one is able to help in?

I.e. Need help with Australian History on the Port Phillip District and how the Aboriginals coped and survived against the Europeans. + Dates

LOL

Only coz I'm too lazy to search. =(

[Joe Black]

math problem h33r

integral of dt / sqrt(t^2 - 6t + 13)

[SunnyPie♥]

I am so going to love this for Math.
>.><3

[Ai]

http://clubbleach.net/showthread.php?t=8445&highlight=Homework <- Anyone help me memorize this.

[VIDTID]

Well iv got all the sciences and geography covered (uni student) but i fail big time at math and history :p so anyone else who can answer them questions feel free^^
@ ai
Cant see what u want me to help u memorize :p

[Rorschach]

http://clubbleach.net/showthread.php?t=8445&highlight=Homework <- Anyone help me memorize this.
/merges =P

If that what you wanted

[ningo]

\int 1 / sqrt(t^2 - 6t + 13) dt =arcsin(t/2-3/2)+constant

where arcsin is the inverse sine function (sin^{-1})

To see this, complete the square on the polynomial in the denominator to get

1/ srt(t^2-6t+13)=1/sqrt( (t-3)^2+4 ).

You are aiming to use the standard result

d/dt (arcsin t)=1/sqrt(t^2+1),

so need to get our expression in the same format. Take out a factor of 1/2 and simplify to get

1/sqrt( (t-3)^2+4 )=1/2 1/sqrt( (t/2-3/2)^2+1).

Now make substitution u=t/2-3/2 so that dt/du=2 and

int 1/2 1/sqrt( (t/2-3/2)^2+1) dt = int 1/sqrt( u^2+1 ) du =arcsin(u) + constant

Subsitute back in for u to get the aforementioned answer.

I did just pop in to the forums after a LONG time away to see if any old faces were still around (Baliistics, Darren, Netorcs, Porkchop Express etc.), but saw this and thought I'd lend a hand before leaving.

Hope this helps.

[VIDTID]

Thanks For Mergin^^
Anyone need help with sciences? PM me:p

[zen]

Hmm I could help anyone with algebra 1 and 1 only i'm a genius in that.

[Guy]

If anyone is a master in the field of statistics, please PM me. I'll be asking you for lots of help.

I have a hard time memorizing all the different kinds of stat test (one proportion z-test, two proportion t-test, chi-square goodness of fit test, test of independence... etc.).

[Hits]

I'm usually very competent in math but I'm struggling with this a lot because I can't seem to translate a situation into something mathematical.

Probability/Combinatorics:
John and Paul take turns shooting free throw shots in basketball. The first person to score wins. John's and Paul's shooting averages are 0.6 and 0.7 respectively. If John shoots first, what is the probability that :
a) Paul wins on the fourth shot?
b) Paul eventually wins?
c) John wins on the third shot?
d) After 5 shots each, neither John nor Paul scores.


A committee voted on a certain matter. 58% vote "yes" and the rest vote "no". A surveyer randomly surveyed 7 committee members afterwards and asked them if they voted "yes" or "no".
What is the probability that:
a) 5 members voted "yes"?
b) at least 4 members voted "no"?

[ningo]

Ok, just one more...

Probability/Combinatorics:
John and Paul take turns shooting free throw shots in basketball. The first person to score wins. John's and Paul's shooting averages are 0.6 and 0.7 respectively. If John shoots first, what is the probability that :
a) Paul wins on the fourth shot?

The sequence of outcomes must be

(Jm)(Pm)(Jm)(Ps)

where Jm denotes the event that John misses, Js denotes the event that John scores, and likewise for Paul. So Prob(Js)=0.6, Prob(Ps)=0.7 from question, and so Prob(Jm)=0.4 and Prob(Pm)=0.3. We are assuming that, other than one of them scoring and the contest finishing, that the odds do not change for each throw i.e. they are independent. So

Prob[(Jm)(Pm)(Jm)(Ps)]=Prob(Jm)xProb(Pm)xProb(Jm)xProb(Ps)
=0.4x0.3x0.4x0.7=0.0336

b) Paul eventually wins?

Possible sequences for Paul winning are

(Jm)(Ps)

(Jm)(Pm)(Jm)(Ps)

(Jm)(Pm)(Jm)(Pm)(Jm)(Ps)

(Jm)(Pm)(Jm)(Pm)(Jm)(Pm)(Jm)(Ps)... and so on.

These are mutually disjoint events, so the probability of the union of them is the sum of the individual probabilities.

So Prob(Paul wins) = Prob[(Jm)(Ps)] + Prob[(Jm)(Pm)(Jm)(Ps)] + Prob[(Jm)(Pm)(Jm)(Pm)(Jm)(Ps)] + ...
= 0.4x0.7+0.4x0.3x0.4x0.7+0.4x0.3x0.4x0.3x0.4x0.7+...
= 0.4x0.7x(1+(0.4x0.3) +(0.4x0.3)^2+...)
0.4x0.3=0.12<1, so the infinite series in brackets is a convergent geometric series, with sum 1/(1-0.12). Hence Prob(Paul wins)=0.28/0.88=7/22=0.318 to 3 sig. fig.

c) John wins on the third shot?

This is like the first one...you can manage this one now.

d) After 5 shots each, neither John nor Paul scores.

Again this is similar to the first one...if no one has scored after 5 shots each the sequence must be

(Jm)(Pm)(Jm)(Pm)(Jm)(Pm)(Jm)(Pm)(Jm)(Pm)

So the probability is (0.4x0.3)^5=2.48x10^{-5} or 0.0000248 to 3 s.f.
--------------------------------------------------------------------------------------------------------
A committee voted on a certain matter. 58% vote "yes" and the rest vote "no". A surveyer randomly surveyed 7 committee members afterwards and asked them if they voted "yes" or "no".
What is the probability that:
a) 5 members voted "yes"?

The question is suggesting that you treat surveys as independent Bernoulli trials with the same chance of success (that is, that the chance of getting a yes or no doesn't change between surveys. However, committees are usually small enough that previous surveys would affect the outcome of later surveys-think of card counting. The question is poorly set...7 voters in an election would be a better example).

There are 7choose5=7!/5!(7-5)!=7x6/2=21 ways of picking 5 people from 7, so there are 21 possible ways of getting 5 yes answers from 7 surveys. As each of the surveys is independent, the probability of each set of survey answers (i.e. YYYYNYN) is the product of the probabilities of each individual survey answer (0.58x0.58x0.58x0.58x0.42x0.58x0.42=approx 0.0112). Changing the order of a product doesn't change its value, so each one of the 21 ways has the same probability. So the probability of getting 5 yes votes os 21*(0.58^5)*(0.42^2)=0.243 to 3 sf.

If you have come across Binomial random variables, then the number of yes votes may be modelled as a Binom(7,0.58) random variable, in which case plugging the numbers into its pmf would give the same answer.

b) at least 4 members voted "no"?

Prob(at least 4 no votes)=Prob(4 no)+Prob(5no)+Prob(6No)+Prob(7No)

Prob(4 No) =7choose4 x (0.42)^4 x (0.58)^3 = 0.21250

Prob(5 No) =7choose5 x (0.42)^5 x (0.58)^2 = 0.09232

Prob(6 No) =7choose6 x (0.42)^6 x (0.58) = 0.02228

Prob(7 No) =7choose7 x (0.42)^7 = 0.00230

Hence

Prob(at least 4 no votes)=0.21250+0.09232+0.02228+0.00230=0.329 to 3 s.f.

Hope this helps.

[Joe Black]

int 1 / sqrt(t^2 - 6t + 13) dt =arcsin(t/2-3/2)+constant

where arcsin is the inverse sine function (sin^{-1})

To see this, complete the square on the polynomial in the denominator to get

1/ srt(t^2-6t+13)=1/sqrt( (t-3)^2+4 ).

You are aiming to use the standard result

d/dt (arcsin t)=1/sqrt(t^2+1),

so need to get our expression in the same format. Take out a factor of 1/2 and simplify to get

1/sqrt( (t-3)^2+4 )=1/2 1/sqrt( (t/2-3/2)^2+1).

Now make substitution u=t/2-3/2 so that dt/du=2 and

int 1/2 1/sqrt( (t/2-3/2)^2+1) dt = int 1/sqrt( u^2+1 ) du =arcsin(u) + constant

Subsitute back in for u to get the aforementioned answer.

I did just pop in to the forums after a LONG time away to see if any old faces were still around (Baliistics, Darren, Netorcs, Porkchop Express etc.), but saw this and thought I'd lend a hand before leaving.

Hope this helps.

thank you so much for your help! ^-^

[Shinigami_Josh]

any one know hoe to prove

ln x < sqrt x

[Xkavanger]

Bloop!

Technically, I just need people's opinion which I can add into my oral presentation for English.

Anyone here know about Corey Worthington?

If so, I just need to know what your opinions about him are.

If not, click here for info (http://www.theage.com.au/news/national/legend-moron-or-just-a-naughty-boy/2008/01/15/1200159449772.html).

Thanks in advance and much appreciated. :)

[Artemis]

Corey Worthington?
Using harsh words would be over the top for something he did.
There's been a lot worse, so sure we can say he's an idiot or useless.

But, in the end, what he did was of his business.
And his parents.

Until he does something that affects society to some point, I rather not hate him or despise him in anyway.

But you can guess that if he hasn't learned a lesson about that incident, the next time he does something on this level, it'll be worse.

Regardless, God bless Big Brother for giving him more money and more time on our television screens.
Because, heavens, thats what we need.

A worthless arse telling us he's good to the ladies.

[sag47]

math problem h33r

integral of dt / sqrt(t^2 - 6t + 13)

Here is a different way of looking at the problem (different than how ningo stated):

integral of (t^2 - 6t + 13)^(-1/2) dt and then solve from there.

First lets set X=t^2 - 6t +13

First apply what is outside of the parens so your problem actually looks like X^(-1/2)
which means the integral is 2X^(1/2)

Basic integral concept #1:
1/(n+1) * X^(n+1)

Extending Basic Integral concept #1:
1/(n+1) * X^(n+1) * 1/(dX/dt)

Further explanation of Basic Integral concept #1 (extended version):
Another basic power rule is x'(t)=(nX^(n-1))*(dX/dt) which is why the derivative of X^2 = 2X

So now we focus on integration where we write that rule but backwards.
x(t)=1/(n+1) * X^(n+1) * 1/(dX/dt) where x'(t)=X^n

So applying the above concept to your problem the derivative of dX/dt=2t - 6

Now we combine our 1/(n+1) * X^(n+1) and our 1/(dX/dt) and don't forget that we earlier set X=t^2 - 6t + 13 so our final solution is...
2/(2t-6) * (t^2 - 6t + 13)^(1/2) + C

or

sqrt(t^2 - 6t + 13)/(t-3) + C

where C is a constant

I thought that solution might be easier to organize in your head because including trig functions can make integration much more confusing if you don't have a solid grasp on the concepts.
~SAM~

[Xkavanger]

This is based in the American political system.

The Inauguration is the ceremony of formal investiture whereby an individual assumes an office or position of authority or power.
[Wiki]

But... I want to know WHY you have this.

Someone please care to explain?

Thanks in advance.

/me has an exam on this, this Wednesday. xD

And thanks to Artemis, Ai, KenKen and Future for helping me with my Corey Worthington oral presentation.

=]

[Rorschach]

For president, it's typically to give the oath of office (to uphold the constitution of the U.S.). Also it's defined in the constitution (article 2 section 1).

I guess it's also to show that power has indeed changed hands. It's a bit hard to explain >_>

[Xkavanger]

Hmm.

But... why does it "resemble that of a monarchy"?

The whole ceremony, that is.

[Seff vi Britannia]

Maths..

"The eqaution of a line is x+2y=6"
"Find the gradient of the line"

I'm pretty sure you have to rearrange it into y=mx+c but i don't understand how to do it. :S

[Rorschach]

Gradient... as in slope?
x+2y=6
2y=-x+6
y=-1/2x+3

So slope is -1/2
if you're unsure then find the x and y intercepts (set x and y to zero to find intercepts).
y int: (0,3)
x int: (6,0)
m= 0-3/6-0
= -1/2

Hmm.

But... why does it "resemble that of a monarchy"?

The whole ceremony, that is.
I guess when the position of president grew more prominent (er powerful) the idea of of grandiose ceremony became necessary... and the fact that the president is somewhat "popularly" elected into office (unlike a parliamentary system), and that the president is the unofficial head of the government (takes all the flak) i guess it's necessary. though this is "well it's always been like this." perspective... so it's harder to explain XD

[sag47]

Gradient... as in slope?
x+2y=6
2y=-x+6
y=-1/2x+3

So slope is -1/2
if you're unsure then find the x and y intercepts (set x and y to zero to find intercepts).
y int: (0,3)
x int: (6,0)
m= 0-3/6-0
= -1/2


I guess when the position of president grew more prominent (er powerful) the idea of of grandiose ceremony became necessary... and the fact that the president is somewhat "popularly" elected into office (unlike a parliamentary system), and that the president is the unofficial head of the government (takes all the flak) i guess it's necessary. though this is "well it's always been like this." perspective... so it's harder to explain XD

Adding on to the good help you've already been given.

When I think of slop I always think of rise over run. Rise/Run which is Y/X. I was just emphasizing on that little part.
~SAM~