May 2013
5 posts
emeraldbeaches:
Are (x-3)^4/4 and 1/4*(x-3)^4 the same thing?
No, not in the way you wrote it. If you mean (x-3)^1=1/4(x-3)^4 that is not true. But if you wrote it as ((x-3)^4)/4=1/4(x-3)^4 then yes.
emeraldbeaches asked: What do you mean by "take the inverse sine of both sides to get the following x=arcsine(1), which implies x=pi/2"? What does arcsine mean?
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darkeningofheart:
someone explain this formula please?
Perhaps I can help with an example. The expected value is a weighted average of events based on probability. Let’s let X be a coin flip, where x=1 is when the coin lands heads. E(X)=1*Prob(heads)+0*prob(tails)=1/2
or let X be a six sided die, with X=the outcome. Then the expected value is the sum of each of the values multiplied by...
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April 2013
6 posts
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You keep the air in my lungs: I had my "advanced"... →
It corresponds to the set of numbers that are not prime. I have no idea how you would prove that is the case, but that is what it appears to be.
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March 2013
1 post
elandorum:
x/y=z
x=yz
x=1
y=0
1/0=z
1=0z
1=0
hmm
You start by suggesting x/y=z, then suggest y=0. By this you can suggest x=0 for any x. However, x/0 is not defined, and is why you get this ridiculous result.
February 2013
1 post
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January 2013
2 posts
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December 2012
6 posts
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November 2012
9 posts
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We Call them Problems for a Reason
The internet population has the tendency to find really bad solutions to very complex solutions. Granted, stupidity is commonplace on the world wide web, but sometimes this happens to really bright people.
Minutephysics made an open letter to the president (video here: http://youtu.be/BGL22PTIOAM). (Earlier today, I responded to that open letter: http://youtu.be/hg2T3ZIC2aA)
It’s always...
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October 2012
11 posts
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Polls are interesting
Have you ever wondered if polls sway votes?
For example, are there undecided voters that use polls to decide which candidate to choose?
Let’s say you’re an undecided voter that has very little knowledge about politics. However, you can find out what other people feel who are more knowledgeable; you use the polls, because it will increase your chances of finding a candidate that...
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Should you join a Youtube Network?
Once your youtube channel becomes large enough, networks will contact your channel, and try to get you to join your network.
Should you do it?
Before I can answer that question, let’s find out how adsense revenue is generated:
Youtube wants to make money from its service, so they make a deal with content creators. They find ads to put on videos, and the content creator creates videos. For...
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Math Help
So, it turns out my last statement was false: I’ll give the original problem: suppose a(n) converges to A
let b(n) be defined as the following: b(n)= (a(1)+a(2)+……+a(n))/n
or in summation form
b(n)= sum(i=1,n)(a(i))*n^-1
prove that b(n) converges to A.
memeengine asked: Complicated math problem! Just a quick thought... does induction help? I thought I had the answer using e/n with your original series a(n), but then I realized n is an arbitrary number over N. Too late at night for me here to puzzle this, but good luck!
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I need some help with my math homework
I’m trying to prove a statement about limits of series, but in order to do that I need to do the following:
if the series a(n) converges to a, then the following is true:
the limit of the series a(1)+a(2)+….+a(n) converges to n*a(n).
Or in summation notation,
sum(i=1,infinity)(a(i))=n*a(n)
This is equivalent to saying:
for every e>0, there exists an N, which is a natural...
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September 2012
13 posts
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Pythagorean Theorem
outsideonarainyday:
Why is Pythagoras’ theorem still a theorem when it’s proven? Should it not be a principle, or something more definite?
Generally, theorems are statements proven from axioms, while laws are much closer to axioms.
Furthermore, the Pythagorean theorem does not hold for non-euclidean geometry; you can see this in a hyperbolic space.
-rdub
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For People that don't Understand Monetary Policy
magic-monica:
Quantitative Easing = Your money will not only be worth less… it will be worthless. Prepare.
Except that the point of QE is that banks aren’t loaning money, therefore, the funds will not enter the money supply. When the banks start loaning money again, these banks will buy back the assets.
But hey, look at all this crazy inflation that happened after the first two rounds...
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Barack Obama is Going to Win
I thought Bill Clinton’s speech put Obama over the top, but then Romney decided to say ridiculously stupid things about the riots.
But then, Mitt Romney pretty much stated that he doesn’t care about 47% of the population.
Break out the champagne, Obama has this.
-rdub
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Find dy/dx when y=sin[tan(sin^1/2x)]
icono-clast:
Halp?
I don’t know why this problem is giving me so much trouble.
dy/dx= d(sin(tan(sin^1/2x))/dx
by the chain rule, d(g(f(x))/dx=df(x)/dx*dg(x)/dx
or in other words, it’s the derivative of the inside times the derivative of the outside.
I would start with a u substitution
u(x)=tan(sin^1/2x), dsin(u)/dx=cos(u(x))*du/dx
then do v substitution for sin^1/2x, and keep...
Two Liberal Dudes: Someone please help me with... →
axiom-of-miller:
twoliberaldudes:
marilynandthediamonds:
-2x^2-4x+3
What is the vertex of that
What is the domain of this f(x)= √-x^2+2x+8
(the square root goes over the full equation)
I’m sure there is an equation for the vertex of a quad. equation, but I’ll use a derivative.
d(f(x))/dx=-4x-4. The max or min of a…
To solve the first one without calculus, use completing the square to...
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Someone please help me with math help!
marilynandthediamonds:
-2x^2-4x+3
What is the vertex of that
What is the domain of this f(x)= √-x^2+2x+8
(the square root goes over the full equation)
I’m sure there is an equation for the vertex of a quad. equation, but I’ll use a derivative.
d(f(x))/dx=-4x-4. The max or min of a function is when its derivative equals zero, which implies the vertex is at negative one.
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