Infinity M
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Q: What is the electric potential relative to infinity at a distance of 10-11 m from a?
What is the electric potential relative to infinity at a distance of 10^-11 m from a proton?
Answer: 144 V
A: A proton is a point charge so you can use the expression for the electric fielt
E = q/(4piEr^2) (where E is epsilon really)
V = -integralfrom infinity to 10^-11m of E.dr
V = [q/(4piEr)] at x = 10^-11, minus that at infinity. V at infinity = 0
q = e = 1.602×10^-19C
So V at 10^-11m is (1.602×10^-19) / (4pix8.85×10^-12 x 10^-11)
V = 144V
Q: What does this equal as m approaches infinity?
{Sum from n=1 to n=m: [(1 + i)^((n-1)/m)]}
/
{Sum from n=1 to n=(m/4): [(1 + R)^((n-1)/m)]}
Note: The two sums are divided by each other.
I am looking for an equation so I can find the answer as m approaches infinity if I know i and R.
Thanks!
A: the two sums can be worked out separately, as the division is on the sums. That said you can use the fact that (1-x^n)/(1-x) is equal to 1+x+x^2+x^3… Here the simplest thing is consider x as (1 + i)^(1/m). As you see this simplify things
1) {Sum from n=1 to n=m: [(1 + i)^((n-1)/m)]}=
{Sum from n=1 to n=m: [(1 + i)^(1/m)((n-1))]}=
1-(1 + i)^(m/m)/1-(1 + i)^(1/m)=
-i/(1-(1 + i)^(1/m))
2) {Sum from n=1 to n=(m/4): [(1 + R)^((n-1)/m)]}=
{Sum from n=1 to n=(m/4): [(1 + R)^1/m]^(n-1)}=
1-(1+R)^(m/4m)/(1-(1 + R)^1/m)=
1-(1+R)^(1/4)/(1-(1 + R)^1/m)=
Their ratio is (not very friendly-looking, i guess, but i can’t see a simpler way to put it)
(i/(1-(1 + i)^(1/m)))/(1-(1+R)^(1/4)/(1-(1 + R)^1/m))=
-i*(1-(1 + R)^1/m)
——————————————-
(1-(1 + i)^(1/m)))*(1-(1+R)^(1/4))
If m goes to infinity, it simplifies, indeed! It can be solved using l’Hôpital’s rule (or expansion to first degree, it is the same), even if the final answer is by no mean friendlier 
(1-(1 + R)^1/m)
———————-
(1-(1 + i)^(1/m)))
deriving once vs 1/m:
(1 + R)^(1/m) ln(1+R)
———————————– =
(1 + i)^(1/m) ln(1+i)
ln(1+R)
———– =
ln(1+i)
Putting all together, the initial sum in the limit m–>infty
-i*ln(1+R)
——————————————-
(1-(1+R)^(1/4))*ln(1+i)
I didn’t check for mistakes (with no paper and pencil it gets impossible!), but I hope you get the ideas behind it!
Cheers,
D
Q: How do I contact Infinity Ward to tell them they suck and I’m switching to BBC2 and never buying CoD again?
Because they are cheep and charge too much for too little.
A: If you already have the game look in the manual as there may be a number for customer support. But be wary, if Infinity Ward’s customer support is anything like the one I called for my faulty rock band 2 drums (ea or harmonix, I can’t remember) then you’ll have to listen to some pretty bad waiting music.
Q: I’m trying to download a bittorrent file on utorrent but it won’t start it just has an infinity sign beside it
Sometimes it will start but the time display shows some ungodly number and then it goes back to queued again. Help?
A: That generally means there are very few people seeding that torrent. You can search for another torrent for the same file or just be patient. The one disadvantage of BitTorrent is that if no one is sharing the files anymore, you can’t download them.
For more on How to use BitTorrent, see this article:
http://www.jakeludington.com/ask_jake/20051008_how_to_use_bittorrent.html
Q: I’m building a box for 3- 12″ infinity reference 1250w what is the best amp for that hook up?
Specifications
Power handling 300W RMS — 1200W PEAK
NOMINAL IMPEDANCE 4 OHMS
I’m thinking about buying a the kicker zx 1500.1 amp will that be enough power for three of those Subs hooked up.
Looking get that trunk Bumpin’ need some quick answers thanks.
A: I would suggest finding an amp stable at 1 ohm loads; as your only two options for wiring the subs will be parallel for a 1.33ohm load, or in series for a 12ohm load.
Look for power around the 900-1200 watt @ 1ohm range and you should have plenty of power to push them to full excursion.
Q: What is the sum of the following from m=1 to infinity?
x*(1-x)^(2m-1), in terms of x.
Thanks. I really should have said that to begin with, sorry about that. A: Define S :=sum_{m=1}^{inf} [x*(1-x)^(2m-1)]. Note: S only converges if x=0 or |1-x|<1, i.e. 0 For x=0, every term being summed is zero and so S=0. For 0 Q: I’m thinking of getting an Infinity G35 Coupe, Is a used one of good quality & Is maintenance expensive? A: first off the g is a spectacular car, your both right and wrong on the tires. they can be as cheap as 140 or as expensive as 400 apiece but how you drive it greatly affects how quick your going to need to replace them. like the other owner said (i got one too) the thing you have to remember is its a sports luxury car, but definitely a sports car. it has the exact same engine in it as the 350z and the Skyline 350gt so it moves. as far as comparing it to the z, the g has loads more room, is more comfortable to drive but is not the raunchy raw sports car that the z is (the z is .2 seconds faster to 60 and .3 faster in a quarter mile stock). if your looking for a fun toy, check out the z, if your looking for a fun daily driver, especially if your not the only one in your house hold, id stick towards the g. as far as maintenance goes, its average, now on the particular mileage your looking at at 56k miles the g is notorious for having a crank sensor that goes off and needs replacing, its a cheap fix though and if you have a dealership warranty on it, a free one. as far as the z being less expensive, its not, most dealerships are very “proud” of their zs and charge alot more than what they blue book, black book, and edmunds for, because quite frankly they can, people still buy them. i almost swapped mine for a z and am so glad i didnt, the ride in a z is that of a sports car and exactly that, the g is much more user friendly, motortrend called it an “idiot proof sports car.” need anything else your free to email me too Q: I have always wondered about infinity (I’m kinda a geek) does anyone have a way of explaining that makes since I wonder how can there possibly be infinty and have something go on forever and ever… But at the same time how would it be possible to have nothing in a place. It always makes me think and i can never think of a logically reason. The other thing i think of is how can there be something here… I know that for religious reasons god made us etc. etc. But then how was god made… and if god didnt exsist how would planets and galaxys and all the other stuff exsist. It’s just so fasanating and confusing. A: you can start with two types of infinity, countable and uncountable. Countable is like the integers, 1,2,3,4,5,6,7,8,9 etc. between 0 and 1 there are an infinite number of numbers because no matter how many decimal places you add , you can always add one more so .9, .99,.999, .9999 each getting closer to 1 without ever reaching it . Confusing , isnt it . Q: particle of mass m is taken from centre of the base of a uniform hemisphere mass M & radius R to infinity? A: Answer: Hint: Q: Should I go to club infinity teen night I’m 15 anyone else been there? A: you should go if you have a group of mature friends you should always live your life to the fullest but be smart…what i mean be smart is don’t drink alcoholic beverages… don’t start fights..don”t have sex and if you do use protection… and if you feel negative vibes leave…not to scare you but one of my friends got shot at a teen party so be careful..im 17 so i know what its like… have fun but not to much fun Q: I’m going to buy a camera, and i asked the seller what is the zoom option, they said it’s focus 30cm -infinity A: They misinterpreted your question. What they are really answering is the focus range of the camera which can focus as close as 30cm and as far as infinity. The important number is the 30 cm which indicates how close you can get to an object and still be able to focus. Pretty much all cameras can focus to infinity. You should ask the seller the question what is the zoom length of the lens. They should tell you something like 35mm – 140mm (which equals a 4X zoom) or something like that. This is a more common question to ask than the focus range of a lens. Q: What did the club in Manchester that was called M-Two and Infinity called be this? A: Do you mean before this? It used to be Discotheque Royale when I used to go in the mid 90’s Q: From where I’m sitting infinity stretches out before me and behind me? A: nonentities. Q: Help me with this please: lim cot squared=infinity as x approaches 0 and it says M=100? Give answers as detailed as you can. Thanks A: we want to find d>0 such that |x| Q: limit problem with M and infinity? M=1,000 A: *The limit doesn’t exist as written. Is this supposed to be the limit from the left? I’ll assume so. What the problem is asking you to do is to find a δ such that f(x) > M = 1000 whenever δ ≤ x < π/2. Does this help any?
0
= x*(1-x). sum_{m=0}^{inf} [ ((1-x)^2)^m]. (m —> m+1)
= x*(1-x)*(1/[1-(1-x)^2]),
since the sum is a geometric series with factor (1-x)^2.
Therefore S = x*(1-x)/[(1-(1-x))*(1+(1-x))]
= x*(1-x)/[x*(2-x)]
= (1-x)/(2-x).
I was looking at an Infinityg 35 Coupe thinking of purchasing one with aound 55-58,000 miles. What is the quality of the car, and are there any problems that i should be aware of regarding warranty.
Is the routine maintenance expensive? i heard that the tires are $200 a Piece. Any help would be greatly appreciated
I like to think of things such as gravitatinal forces on earth but those dont make me wonder as much as infinity…
No matter what number you think of you can always find a bigger number by adding one .
Uncountable is like decimal fractions .
The work performed in the process by gravitational force exerted on partcle by solid hemisphere is .
Work = 3/2 GMm/R
same as particle of mass m is taken from centre a uniform sphere mass M & radius R.
I was thinking about going with a few of my friends can anyone tell me how it was or if I should even go?
I don’t Know what is focus 30cm – infinity, i’m really not that knowledgable in cameras at all, and i would really like somebody to explain the zoom on this camera i’m buying, and any example of pcitures taken from focus 30cm – infinity cameras.
Thanks
Think it may have closed down now….
and I am in the middle. Infinity minus infinity equals zero. Am I everywhere or nowhere? Am I omnipresent or non-existant…..are we all omnipresent or all nonentities?
For the limit: lim cot^2(x)=infinity as x approaches 0 illustrate the definition by finding values of delta that correspond to M=100
we’ll approach from the positive side so that cot(x) is positive.
We need cot(x) >= 10
So choose x = arcsin(.05). we know cos(x) > 1/2 since it is decreasing in the interval [0, pi/3] and cos(pi/3) = .5
then cot(x) > .5/.05 = 10 implies cot^2(x) > 100.
For the limit below, find values of δ that correspond to the M values.
lim tan^2(x) = infinity
(x–>pi/2)
δ=?
*EDIT: Oops, ignore this first part. I missed that it was squared.Related Posts
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