I really don't think he had l'hopital, looking at these problems and that he'd like to solve it by graphing.
but I have to admit, it IS a pain without...

1st:
lim_x->0 (1-cos x)/sin x
= lim_x->0 (1/2-1/2 cos x)/ (1/2 sin x) multiplied numerator and denominator with 1/2
= lim_x->0 (sin² (x/2))/(sin (x/2)*cos (x/2)) used sin² x=1/2(1-cos 2x) and sin x * cos x = 1/2 sin 2x
=lim_x->0 sin (x/2) / cos (x/2) = lim_x->0 tan (x/2) = 0

for the second you are right.


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in need of romance?
uncommon, sad, sweet

Why hello there my beautiful helpers, I'm back for more help. xD though it isn't math today, it's sociology.
I just need help understanding what structural functionalism, conflict theory, and symbolic interactionism(I swear we haven't even talked about this one at all) are. Also what are the general ideas, thoughts, point of views of a functionalist and an interactionist? I'm studying for a test and these just are not registering into my mind.

edit: nvm, i got this




thank you! this actually helps a lot

Last edited by neonkitty at 9:46 pm, Sep 20 2012

This week, you will write the first section for your Marketing Plan project.– Choose one product offered by a larger company. If you don’t have personal access to information about the company, you should choose a famous product from a well-known, publicly-owned company. That’s because much more information would be available.

does anyone have any ideas of what product I could use? I dislike it when the instructions are so vague on what kind of product to use, or rather I feel overwhelmed because I don't know where to begin looking for a product.

---Turned it in---

Last edited by caozhi at 7:38 pm, Sep 30 2012

I would suggest that you pick a product you use and like - that way at least you already know about the *product* even if you don't know about the company. Think about things you use on a daily basis - cereal, shampoo, toothpaste, candy bars, soda, etc.; maybe there's a brand of shoes/clothes that you really like, or a specific car you'd love to own...anything like that could give you a starting point.

Maybe make a list of 3-4 products & then see how much information is available about the company that makes each one & pick the one with the most information, or the one that seems most interesting if it looks like several have good info available.

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"[English] not only borrows words from other languages; it has on occasion chased other languages down dark alley-ways, clubbed them unconscious and rifled their pockets for new vocabulary."
-James Nicoll, can.general, March 21, 1992

More math

I keep coming across these same types of questions. I know the answer to the question but I don't know how to get it.. :/

A wallet contains $5 bills and $10 bills. There are 15 bills in the wallet with a total value of $120. Determine the number of $5 bills and the number of $10 bills in the wallet.

six $5 and nine $10.
6+9=15
6*5 = 30.
9*10= 90
90+30=120.
use this set up:
x+y=15
5x+10y=120
solve for x and y

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"This year, they should give the Nobel Peace Prize to the inventors of cancer and accidents, because research shows those are the main causes of disarmament."

I'm sorry, but I honestly don't understand how I would use those. I know, I should have learned this years ago but it's one of those things along with percents that I have a difficult time understanding.

You have a system of two equations:
x+y=15 and 5x+10y=120
Try to get one of the variable terms to equal: 5[x+y=15] -> 5x+5y=75
You have: 5x+5y=75 and 5x+10y=120
Subtract one equation with the other to get: 5y=45 , so y=9
Then plug the y-value back into one of the equations -> x+9=15, therefore x=6

When you have two variables, you need to have at least two equations in order to solve it. The key is to try to eliminate one of the variables and use it to solve for the other. In this case, the x was first eliminated to obtain the y-value which was then used to find x.

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Nulla in mundo pax sincera
"Always go too far, because that's where you'll find the truth." - Albert Camus

So basically here is what the other guy was trying to say:

Let us pretend that:
x is equal to the number of $5 bills
y is equal to the number of $10 bills.

Now we can say that the number of $5 bills (x) and the number of $10 bills (y) has to equal 15, a total number of bills.
In an equation form, that is: x+y=15

Since there are two variables (letters with unknown values) in that equation, we have to make another equation. The only other bit of information you are given is that the 15 bills in total will have a value of $120. Remember above on how we said that x is equal to number of $5 and Y is equal to the number of $10 bills, we can use this information to make another equation. Will you believe me if I said that 5 times x is the total value of $5 dollar bills and 10 times y is the total value of $10 bills. Now will you believe that 5x+10y=120. That basically says that the total value of 5 dollar bills plus the total value of 10 dollar bills will have a final value of 120 dollars.

With these two equation:
we have x+y=15 and 5x+10y=120.

There are many many method you can use to solve this "system of equations."
This simplest method for this case would be substitution.
We will solve for x in x+y=15. By subtraction y from each side of the equation you get x=15-y. We take this now and put it into 5x+10y=120. So you get 5(15-y)+10y=120. Now, distribute the 5 through, and you get 75-5y+10y=120. Solving for y you get, y=9. This tell you that there are 9 $10bills. Now we take this y=9 and place it into x+y=15 and you get x+9=15 which solve for x=6. This tells you that there are 6 $5 bills.
In the end, there are:
9 - $10
6 - $5

This is an interesting way to do it, I've never seen it done this way. o_o thank you




Okay, now I completely understand! My gosh thank you so so much! I feel really dumb that I didn't understand but I usually need people to tell me exactly what to do and show me how to put it together. Really really thank you so so much!!! (:

Aaarghjfdfd this problem. I need to find the derivative of
.....................1..............1
..............¯¯¯¯¯¯ _ ¯¯¯¯¯¯
lim..........ln(x+1)....... ln 3
x->2 ¯¯¯¯¯¯¯¯ ¯¯¯¯¯¯¯¯ ¯
.........................x-2

I'm pretty sure the original function is
..............1
f(x)= ¯¯¯¯¯¯
.........ln(x+1)

So I got the derivative f '(x)= -ln(x+1)^ -2 (correct me if I'm wrong, this could be the root of all my problems >.>).

My main issue is when I plug the original function into my TI-84 and do the whole nDeriv(Y1,X,2) thing, f '(2) turns out to be -.276. When I plug 2 into f '(x) I get -.828. I don't know if either answer is right or not.
I'd appreciate the help. :]

3 steps in writing process: planning, drafting, and revising? which of these steps is the most important and why?

Why do i feel like this is a trick question
Oh and i got to do a speech on it...

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I may be wrong, but shouldn't the answer be your personal opinion?
Personally, I would go with revising because then we can see our work as a whole and we can make necessary changes to make it more consistent. Sometimes while writing we change our mind about some issues and we have to revise the paper so that it makes sense. Some writers revise their works again and again, and when they are finished they end up with a much more refined work than in the beginning.

Last edited by Hanae at 12:31 pm, Oct 4 2012

Teachers usually want to hear that you think planning is most important, because it's in the planning stage that you determine the structure of your writing and your line of argument. Planning creates the skeleton, drafting the flesh, and revising adds the final touches, as it were.
Teachers are always complaining about how their students don't understand the value of planning (at least where I live).

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