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Post #506315
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9:13 pm, Nov 8 2011
Posts: 1


Another country that might be worth looking at is Australia, though their version of Medicare is a universal one instead of targeting the elderly. As far as topics, you may want to take a look at how they both handle prescription drugs. Australia seems to have an organization specifically for that called the Pharmaceutical Benefits Scheme (PBS). I really don't know much about this topic, just figured another suggestion wouldn't hurt. Here are links for the main Medicare page and PBS.

http://www.medicareaustralia.gov.au/
http://www.pbs.gov.au/pbs/home

I've got a favor for anyone who is bored. I had to create a survey as research for a paper I'm writing on net neutrality. Its pretty simplistic and I apologize if it seems biased or the questions uninformed. Its fairly short with 11 questions. The survey is targeted at residents of the United States but I welcome responses from anyone. Thank you to anyone who takes the time to fill it out.

http://www.zoomerang.com/Survey/WEB22DKEF49YVJ

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10:37 pm, Nov 10 2011
Posts: 8


Quote from ohwhatsherface
How do I show that...

1. sin(arccos(x)) = the square root of 1-x^2?

2. cos(arctan(3/x)) = (x) / (the square root of x^2+9)?


Hello everyone! I'm in 2nd year college taking a 1st year calc course. I've been doing ok so far, but I'm really unfamiliar with these two problems. Can someone explain to me how to do it? sad

Post #506726
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hmm~
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11:18 pm, Nov 10 2011
Posts: 989


1. arccos(x) = y ---> cos(y) = x and sin(arccos(x)) = sin(y)
and we know that sin^2(y)+cos^2(y) = 1

2. same as above.
just a reminder though: cos^2(x) = 1/(tan^2(x) + 1)

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Post #506733 - Reply to (#506726) by MewMan
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12:04 am, Nov 11 2011
Posts: 1127


Quote from MewMan
1. arccos(x) = y ---> cos(y) = x and sin(arccos(x)) = sin(y)
and we know that sin^2(y)+cos^2(y) = 1

just to make things clear...what is the question here?
are you supposed to prove that sin^2(y)+cos^2(y) = 1 from the information, or viceversa?

Post #506919 - Reply to (#506733) by sarah-eats-cupcakes
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2:36 am, Nov 12 2011
Posts: 176


Quote from sarah-eats-cupcakes
Quote from MewMan
1. arccos(x) = y ---> cos(y) = x and sin(arccos(x)) = sin(y)
and we know that sin^2(y)+cos^2(y) = 1

just to make things clear...what is the question here?
are you supposed to prove that sin^2(y)+cos^2(y) = 1 from the information, or viceversa?

the actual question is one post above his and it,s pretty much already answered. you gotta use the identities he,s given then it,s straightforward.

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Mishy
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2:27 pm, Jan 18 2012
Posts: 1737


Can someone use the definition of Maclaurin series to get the first three nonzero terms of f(x)=tanx please?

I know the answer is tanx= x + 1/3x^3 + 2/15x^5... but I can't seem to get the answer from the definition.

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Post #522037
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2:15 pm, Feb 8 2012
Posts: 2050


A couple chemistry problems:
Le click.
For number five, I understand that you have to solve it using an ICE box... I am just confused how.

If you are able to help me, please PM me!!!

I also need help with a buttload of kinetics problems... (I am confused as fyck). If someone is really good at chemistry, please message me!

Begging for help,
Pika.

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Post #522044 - Reply to (#522037) by Pikapu
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3:01 pm, Feb 8 2012
Posts: 272


Quote from Pikapu
A couple chemistry problems:
Le click.
For number five, I understand that you have to solve it using an ICE box... I am just confused how.

If you are able to help me, please PM me!!!

I also need help with a buttload of kinetics problems... (I am confused as fyck). If someone is really good at chemistry, please message me!

Begging for help,
Pika.


is M= mol/l ?

if so : the equilibrium is self-adjusting.so the concentration of the right side is 0.337 M(HOCl) = 0.674 mol
therefore: 2.651 mol - 0.674 mol = the overall amount of substance for the left side(= a)
from the chemical equation follows: n(HCl)= 2*n(O_2)

--> n(O_2) = a/3

from here on you can easily calculate c(O_2).

should you need K_c you have to use the law of mass-action (I think).

since the volume is constant you can substitute c(O_2) with c(HCl) -> the amount follows from the chemical equation. think about the rest for yourself.

for number 8 : the squared brackets usually mean concentrations which you'll already know. so you can calculate the overall amount of substance and do sth with it.I'm too lazy to do that now.
00.00 AM good night

Last edited by jelzin89 at 3:07 pm, Feb 8 2012

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Post #523395
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hmm~
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6:41 am, Feb 15 2012
Posts: 989


r(t)=sin(t)
s(t)=sin(2t)

here are the graphs:

User Posted Image User Posted Image

I want to find the points of intersection
According to the graphs, there should be three sets of them
However, I could only find two (at t=0 and t=pi/3; got them by solving sin(t)=sin(2t) )
Help, anyone?

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Post #523399
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7:09 am, Feb 15 2012
Posts: 1


actually, you found the third one.
from sin(t) = sin(2t), you have t = pi/3
you can find there is another solution.

Hint, theres a negative solution

Last edited by nugak at 7:19 am, Feb 15 2012

Post #523469
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hmm~
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12:42 pm, Feb 15 2012
Posts: 989


wow, you actually registered an account just to answer my question
I'm deeply moved and really appreciate it smile
though your reply is not what I'm looking for XD


anyway,
about the missing point, it probably has something to do with the directed distance in polar coordinate
(r, ϕ) = (-r, ϕ+ π)

so I devised an equation system for finding points of intersection:
sin(t)=sin(2t)
and -sin(t+ π)=sin(2t)

worked like a charm
or so it should have.
it did returned 3 sets of points, but not exactly what I was expecting:
t= π/3 or - π/3 or 0
no no, according to the graphs, it should have been t= π/3 or 2π/3 or 0
though if you think about it, both answers are right none


let's try another example:
r(t)=4sin(2t) (same graph as above)
r=2 (a circle with radius = 2, centered at origin)

now, according to the graphs, there should be 8 sets of points of intersection
I tried my system of equations to see if I could find all of them
did I?
nah, I only found four, which were: t= π/3 or - π/3 or 2π/3 or -2π/3
it turned out that if I want to find the remaining 4, I would have to reason using directed distance in polar coordinate ( (r, ϕ) = (-r, ϕ+ π) ) again
but if I add this reasoning to my equation system, and apply it to the original problem, there will be 5 sets of points instead of 3
and then I think, wait, what if all I have been doing till now is finding the angles where the intersection happens, instead of the points themselves?
it makes perfect sense!!


Can someone tell me how to find the exact points, instead of just the angles?

Last edited by MewMan at 12:48 pm, Feb 15 2012

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3:53 pm, Feb 15 2012
Posts: 3888


The negative equivalent of pi/3 isn't one of the points? -5pi/3?


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Shoujo Queen
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3:59 pm, Feb 15 2012
Posts: 418


Can anyone help me with this math equation please!! This is my last question but I cant seem to get it ( This is system of equations)


At the beginning of a new semester, Andy makes plans for a successful semester. He allocates 42 hours per week for study time for the four courses he is taking: Math English, Chemistry and History. He decides to allocate half of his time to Math and English, and two as much time to Math as to English. He decides to allocate twice as much to English as to History.

a) find a sytem of equations that represents this information.
b) solve the system to determine the number of hours allocated to each subject.

Can anyone help please!!


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Post #523525 - Reply to (#523513) by Cherelle Ashlee
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4:19 pm, Feb 15 2012
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Quote from Cherelle Ashlee
Can anyone help me with this math equation please!! This is my last question but I cant seem to get it ( This is system of equations)


At the beginning of a new semester, Andy makes plans for a successful semester. He allocates 42 hours per week for study time for the four courses he is taking: Math English, Chemistry and History. He decides to allocate half of his time to Math and English, and two as much time to Math as to English. He decides to allocate twice as much to English as to History.

a) find a sytem of equations that represents this information.
b) solve the system to determine the number of hours allocated to each subject.

Can anyone help please!!


Make variables for each subject. M = Math, E = English, C = Chem, H = History

21 = M + E <- It says he allocated half of the time to math and english.
M = 2E <- It says that that he allocates twice as much time to math as to english
E = 2H <- allocates twice as much to English as to history
M + E + C + H = 42

Start with the first two equations.
21 = M + E and M = 2E
Do the system of equations for those two variables. Once you do that, plug in whatever you got for E into the third equation and solve for H. Now you have 3/4 variables found and can find C by adding M, E, and H together and subtracting it from 42.

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Post #523527 - Reply to (#523525) by StarlightDreams
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4:32 pm, Feb 15 2012
Posts: 3120


Quote from StarlightDreams
M + E + C + H = 42

Yes, Mech is the answer to life, the universe, and everything.

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