Use the chain rule to differentiate with respect to x:

(1-(2/x))^4

--

Differentiate with respect to x:

(x^3 + x^2 -7x)^5

I got: 5(3x^2 + 2x -7)(x^3+x^2-7x)^4 using the chain rule.

The text book says I should have gotten 5x^4(3x^2+2x-7)(x^3+x^2-7x)^4

...What did I do wrong?

--

Differentiate with respect to x:

4/(x^2+3x+5)

I don't know what to do with this.

--

I may add more questions to this as I work through my calculus shit. x_x

(1-(2/x))^4

Hey Cass. I believe your answer would be

4 (1-2x^-1)^3 (2x^-2)

Deal with the outside first, then deal with the inside. So that means bring the 4 down first, and reduce the indice by one. Then differentiate the inside, which is a negative indice, so the -2 becomes a +2 since you multiply the coefficient by the negative indice, and you reduce the indice by one from -1 to -2. If there's anything else, I'll deal with it an hour from now; time for a short power nap!

I still don't understand. How does the 2/x work? That's the bit that's really tripping me up...

(x^3 + x^2 -7x)^5

I got 5(x^3 + x^2 - 7x)^4 (3x^2 + 2x - 7), which is the same answer as you. Personally, I think your textbook answer is wrong, since I cannot see where the extra x^4 came from.

4/(x^2+3x+5)

Use the quotient rule, which is

f(x) = g(x) /h(x)

d /dx f(x) = g'(x) h(x) - g(x) h'(x)/ [h(x)]^2

So you should get -(4)(2x + 3)/ (x^2 + 3x + 5)^2

I still don't understand. How does the 2/x work? That's the bit that's really tripping me up...

-2/x is like saying -2x^-1 which differentiated is 2x^-2.

Does anyone know any good sources on the internet to find out about Archaeology? I'm doing a research paper on it.

Could you guys help me get some examples of advertising language that changes the standard meaning or standard grammatical usage of a word? (I need ten) After, I have to write a short paragraph for each that explains how the meaning or usage has been changed to fit the advertiser’s purpose. Any help would be appreciated =)

Does anyone know where I can find any good sources of criticism for the play Equus? I have to write a 10-12 page long research paper on it and I need at least 10 sources. I have 2 or 3 already. Bleh, this sucks. *goes back to typing up her rough draft*

Does anyone have something about the people involved in the Chinese Exclusion Act?

I need to write a short essay on the act and short biographies on the people involved.

Twelve players make up a high school basketball team. THe team jerseys are numbered 1 though 12. The players wearing 3, 6, 7, 8 and 11 are the only players who start a game. Using set notation, list the complement of this set.

Set A = {3, 6, 7, 8, 11}

So your complementary set is Set A' = { 1, 2, 4, 5, 9, 10, 12}

Thanks, Terr. :)

Does anyone know any good links to places that might have information on ethical considerations in psychological research on children? I've found a lot about medical research on children, but not a lot about psychological research.

Also, does anyone know about how Erikson's psychosocial theory could be applied to everyday circumstances? All I can think of is the situation between adoptive/foster parents and adopted/foster children, especially if the child has been deprived during the trust/mistrust stage. I can't find any good case studies on anything like that though - all the psychology journals want me to sign up first .

Hailing all Math geniuses

An arithmetic progression {Un} is grouped into sets containing 1, 3, 9 ... integers as shown below, so that the number of integers in the nth set is 3^(n-1).

{1} {5, 9, 13} {17, 21, 25, 29, 33, 37, 41, 45, 49} etc

Find expressions in terms of n for the first and last integer of the nth set.

Show that the sum of terms in the nth set is given by 3^n[A(3^(n-1)) + B], where A and B are integers to be determined.

This is what I have so far.

Let Zn be the number of integers in one set.

Zn = 3^(n-1)

Summation of Zn = (3^n -1)/2

Un = 1 + [((3^n -1)/2)-1]4

So that's the expression for the last integer. I can't find the expression for the first integer of the set. Help, please?

Formulas known:

Arithmetic Progression

Term n of progression, Un = a + (n-1) d, a= first term of progression, d= common difference between terms, n= no. of terms

Summation of arithmetic progression Sn = n/2 [2a + (n-1)d] or n/2 [a + Un]

Geometric Progression

Un = (a)(r^(n-1)), a= first term of progression, r=common ratio between terms, n=no. of terms

Summation of geometric progression = a(r^n -1)/(r-1) OR 1(1-r^n)/(1-r)

Summation to infinity of geometric progression = a/1-r, |r| 1

Lots of holiday homework... thus lots of questions to ask...

Organic Chemistry

How do you synthesize 1,2 - dihydroxycyclohexane from cyclohexane? As in, have two -OH groups attached to the cyclohexane, on neighboring carbons. The current method I have come up with is using free radical substitution to add bromine, then use ethanolic NaOH to change it to a cyclohexene. Then, add cold KMnO4 and NaOH to add two -OH groups. But this is a highly unreliable method due to the use of free radical substitution, since it's impossible to ascertain what compound you'll end up with. Can anyone help me with this?

Erm, is anyone familiar with Beowulf? I need to write a forth battle for him as an assignment, but I'm not sure what it should be...and it can't take place after the third battle, any other time is okay.

Thanks in advance if anyone can lend a hand. ^.^'

Erm, is anyone familiar with Beowulf? I need to write a forth battle for him as an assignment, but I'm not sure what it should be...and it can't take place after the third battle, any other time is okay.

Make him fight a chupacabra. That would awesome. If that doesn't work, he could wrestle an ogre.

LOL.

Make him fight a chupacabra. That would awesome. If that doesn't work, he could wrestle an ogre.

We'll have our panel of Deadliest Character judges decide who would win.

That thread's like so dead.

That thread's like so dead.

It will be alive again next season.

This is my essay about the 9/11 terrorist attacks. Open for critique, I want that donut.

“You must be the change you want to see in the world.” – Mahatma Gandi

On the eleventh of September, 2001, America was struck with a tragedy. Nineteen terrorists launched their attacks on some of the nation’s most high key buildings. Though many hearts were broken, our spirits weren’t. We began to rebuild our mindset, our lives, and our country. We didn’t wait to start over, we got back up immediately. We, the people, helped heal America.

Too many people lay back and just watch terrible things happen every day. As our America was attacked and lives were lost, we took the punch aimed at us. We faltered a bit, and the person who ordered the attacks—Osama Bin Laden—had expected us to be so hurt by the attack that we would never be able to recover. Our people, however, thought differently. The hit inspired different people to do things to help America recover from the attack.

One lady, Betsy Nielson, helped make quilts for the people who had lost someone near and dear to them. Another man who owned a restaurant near the site of the tragedy served food for free to anyone who came.A younger man and his friends did a walk for charity and donated the money to the recovery funds. There is an organization where people raise money to help go and rebuild places that have also been struck with a tragedy, such as places that have been through tropical storms, etcetera. Their seemingly small actions made a difference in the rebuilding and restructuring of a new America after the terrorist attacks.

Though I keep on talking about the people who helped America recover, I shouldn’t leave out the people who died trying to save the lives of both foreigners and Americans alike. Approximately thirty five hundred people died in the attacks on 9/11. This includes the more than four hundred city officers that died trying to save the lives of other innocent people. While other people rushed to get out of the buildings, they gallantly went in and tried to rescue the remainder of those still inside. As their heavy equipment weighed down on them, they marched into the wreck, prepared to die, prepared to save other people’s lives even if they were putting themselves in danger by doing so. Why did they do this? I honestly cannot say. But if I myself were to answer, I would say because they knew that America needed them. They were the change that they wanted to see in the world.

On that day, nineteen cowards made a wrong decision. In conclusion, more than four hundred heroes died. More than three thousand innocent people died at the hands of these nineteen cowards and America as we knew it was changed forever. We came together in a time of frustration and difficulty with a renewed sense of patriotism. When I think of 9/11, I do not only think of negative things. I think of the people who came in as regular civilians and walked out, or died, heroes. They made a change in the world and America will not forget them. The people who got our country back on her feet after the devastating occurrence that shook the nation are the heroes who will always be remembered.

“You must be the change you want to see in the world.” – Mahatma Gandi

Is there supposed to be a quote before your essay? If so, is there any reason you chose this one? Because technically, the terrorists who hijacked those planes were changing the world.

some of the nation’s most high key buildings

Are you trying to say that the buildings were really tall?

We, the people

Nice touch.

As their heavy equipment weighed down on them, they marched into the wreck, prepared to die, prepared to save other people’s lives even if they were putting themselves in danger by doing so. Why did they do this? I honestly cannot say. But if I myself were to answer, I would say because they knew that America needed them. They were the change that they wanted to see in the world.

Altruism is not necessarily motivated by patriotism. If your own personal opinion is that these people risked their lives because they thought it was for the good of the country, then that's fine, you don't have to change it. But I think that these people are motivated by a desire to help anyone who is in need, and don't need any other reason than that.

On that day, nineteen cowards made a wrong decision. In conclusion, more than four hundred heroes died.

"In conclusion" should go at the beginning of the last paragraph (as you get into higher grades, your teacher will want you to stop using that phrase entirely).

Overall, it looks okay to me.

On that day, nineteen cowards made a wrong decision. In conclusion, more than four hundred heroes died. More than three thousand innocent people died at the hands of these nineteen cowards and America as we knew it was changed forever. We came together in a time of frustration and difficulty with a renewed sense of patriotism. When I think of 9/11, I do not only think of negative things. I think of the people who came in as regular civilians and walked out, or died, heroes. They made a change in the world and America will not forget them. The people who got our country back on her feet after the devastating occurrence that shook the nation are the heroes who will always be remembered.

I think you should get rid of the "In conclusion" and put the following sentence with it, so: More than four hundred heroes died, over three thousand innocent people lost their lives because of these nineteen cowards. America as we knew it was changed forever.

I changed it a bit because it was a bit repetitive, and although repetition sometimes adds to the strength, it just... didn't click for me. I dunno. The rest of it was pretty good, though. :)

Viv, the fact that you spelled Gandhi wrong is depressing me. I can't even get past the first line.

Gandhi was a rapist and a murderer. A criminal like him doesn't deserve to have his name spelled correctly.

I think you meant to say Arnold Schwarzennegar.

:OO My teacher spelled his name wrong. Ugh. Thanks for the input guys, I'll edit it right away. Peace.

Osama Bin Laden—had expected us to be so hurt by the attack that we would never be able to recover.

That's a bold claim to make without any evidence.

nineteen cowards made a wrong decision

I'm not particularly fond of them, (the terrorists) but they did lay down their own lives in order to "be the change they wanted to see in the world." In fact, they were crashing themselves into a building knowing that they would have a zero percent survival rate. I'm not sure what it takes to do that, maybe desperation, idiocy, extreme patriatism or whatnot, but I tend to think cowards don't do things they know will result in their death. If you show that thier action were cowardly though, it would be another matter altogether. I do agree that it was a rather terrible thing to do though, I mean, it's killing.

Viv, the fact that you spelled Gandhi wrong is depressing me. I can't even get past the first line.

But it's Isabel, not me!

Does anyone know what the hell a reaction essay is supposed to include?

Well, if you read a book, an essay, or anything readable, then it's something that you write explaining your reaction the book, I suppose.

Does anyone know what the hell a reaction essay is supposed to include?

It's writing down what you feel after reading, seeing, or hearing something in an essay format. Depending on what it is, let's say it's a book or an excerpt, you'd write down your thoughts and questions about what the major theme(s) are, a certain character, etc. It might include in-text parenthetical citations if your teacher is really picky, but they really do help emphasize ideas and such.

Or at least that's what they were when I had to do them.

What is the net charge of the nucleus?

I know that the atom in general doesnt have a net charge, but wouldnt the net charge of the nucleus alone be positive?

The net charge of any atom's nucleus is equal to the number of protons, because the electrons, not included within the nucleus, are what cancel out the protons positive charge.

So yes, the net charge of the nucleus will always be positive.

Does anyone understand biology?

The question says: Describe the structure, function, properties, and types of carbohydrate molecules.

I don't get what they mean by the structure. The carbon skeleton?

Well for the structure I think they are referring to what carbs are made up of aka monosaccharides. The function of carbs is to help the body store and transport energy, among other things. And uhm for properties, I'm not sure what they mean. Types of carbs are glucose, fructose, etc.

What would a to the negative 2/3 power be?

Ex: What would (x+1) to the negative 2/3 power be?

2^(-2/3)=

Ok, first get rid of the negative

(1/2)^(2/3)=

Now, when raising any number to a fraction, the denominator will tell what root to take of the number(i.e. if the denominator is 2, take the square root, if 3, take the cube root), and raise that entire thing to the numerator.

(cube root of(1/2))^2

From there, take the roots of 1 and 2.

(1/cube root of 2)^2

Now square the fraction.

1/ (cube root of 4)

Thanks sooo much. I totally get it now. :D

What would the electron configuration of nitrogen be in its excited state?

In ground state it is 2-5.

Taking a ten minute break from studying.

What would the electron configuration of nitrogen be in its excited state?

In ground state it is 2-5.

Nitrogen in ground state is 1s2 2s2 2p3. So when you excite it to a higher energy level, you should have this instead: 1s2 2s2 2p2 3s1. Any atom in its excited state will have an electron excited up to a higher energy level, in this case, from the 2p subshell to the 3s subshell, which is at a higher energy level. You can't represent it any other way, unless you want to draw it out.

Help me with an essay for a college supplement?

I have spent a good three hours just helping Wolverine with his own college essays. And I gave him plenty of advice. So I'll share some with you. Remember to keep it simple and get to the point of things. Make it unique...that's done by making it personal because everyone has different experiences and views. So be a little personal.

Like, for my NYU application, I chose the topic about achievements that I was proud of. So I wrote about this one time in seventh grade and how embarrassed to death I was because I was unable to speak in front of class in presentations. So I had some speech lessons and practiced for hours on future presentations and worked to get rid of my shyness/fright. And then for my interview, this person was reading that essay in front of me and I was able to see her reaction to it and gather what she liked about it. Basically, it was really simple, because I had a described a miniscule event that had an impact on me and changed the way I was. And it being a bit personal added, I guess, a touch of flair to it. Bear these in your mind and you'll do fine. And if you get a book on college essays that people in the past previously wrote, you'd find that that's what they did too and the college people liked it.

Thanks. :)

1. Forums are not to be used to post stories.
2. All discussions including language and content must be suitable for teens.
3. The owner/moderator(s) of this forum is solely responsible for content posted within this area.
4. All forum abuse must be reported to the moderator(s).

1. Forum admin/moderator
2. Fanatic (on site for more than 2 years)
3. Fan (on site for more than a year)
4. Regular (on site for more than 6 months)
5. Camper (on site for more than a month)
6. Apprentice (on site for more than a week)
7. Newbie (on site for less than a week)