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And A < U En _ Kr (A) = inf [ 2 p ( Ex) : EneA b=i K=eM * is dn ottr meufur e...

Question

And A < U En _ Kr (A) = inf [ 2 p ( Ex) : EneA b=i K=eM * is dn ottr meufur e

and A < U En _ Kr (A) = inf [ 2 p ( Ex) : EneA b=i K=e M * is dn ottr meufur e



Answers

If $\mathrm{a}=1+\mathrm{r}+\mathrm{r}^{2}+\ldots \ldots \ldots \ldots \infty$ and $|\mathrm{r}|<1$, then $\mathrm{r}$ is (a) $\frac{a}{a-1}$ (b) $\frac{\mathrm{a}-1}{\mathrm{a}}$ (c) $\frac{\mathrm{a}+1}{\mathrm{a}}$ (d) $\frac{2 \mathrm{a}}{\mathrm{a}-1}$

Right for the cities in the valley nature as then as to in Austrian and exploring proposed to evaluate here K. Times to antique. So he gave Giants to end speaking. Given us state times to win victoria over through a negative victoria times victory. Well I guess we can write that We'll stay Times two in shines through in negative one victoria over Julian negative victoria Times K. Times -1. That story that's canceled now. So let's find him. You have to 91 Victoria over to negative K. And given as a negative one negative nearly one bell between a dictate Science generally one sectorial. So it's coming up to me to win trying to get Julian negative one B. B. Negative what Now? Let's evaluate the cities or and So we have Anthony equal submission. Okay equals one to win to win The 1 -1. B. You need to do why we can take to an outside it's constant and evaluate now the series the mission cake will do want to end We're nearly one BQ -1. We'll just put the values here. Okay one x 1. So what's the matter with True end times we have when negative one video plus Do a negative one the one and so on. So we get it get it chilled to a negative one. Be a -1. OK. We'll end we get this. No if you just analyze your separately the cities that has given us Doing nearly 10 Well 3 -131 And so on plus 21 the negative one blood and so on To a negative one B. Doing anyone not unless this year there's only one T zero close to a negative one T. One and so on 22 -1 C. to an 81. Some of this here is what's coming out to be to the power Children negative one that you get now. We have the cities here from deal to 1 2 and -1. That means this city is here Despite of the city's here complete cities but we're just evaluating now right here still here. If you look at the number of terms here, the middle terms is to a negative one plus one. The number of companies do a negative one last one that is to enter maybe divide to win over to we get asked and knowledge moving from needle True and -1. So we have anthems right? So this contain here in terms and then this contain here and um So some of half of the five Will be given us 1/2 times. So we get a dance for some for the series here. Their behalf of communities. Islam is coming attributes so you get too many times 20 I'm clean up harmful cordoba do and everyone the portion rises. Why half of that? Because After this we have and -1. What happened? Let's we have we get We're starting from here. Deal one and so on. But you see here the first jump and the last room would be equal. Normally the second job, second last job. The unequal. So here we have this jump here we have the next job and before then that jump so it is coming up to be talk of that that jump they will be equal cool harvest here some is some of the half is equal to some of the hub. Another hub. Because near the property here that we use that is and they are equal empty and negative art for any kind of cities like this. We have been a real serious for efficient. Some of the proficient we have have to see it. If you go to the next stop on the corruptions having a vote because they're being happy. The number of terms is to and that is even so let's stop will be equal to write up the sum. So we got this now and now we can simplify this. So we're turning out to be to win times we have we get through the car chew in negative True or that has given us and times to the power two N. Negative what That is coming out to be Anson next year to find north for S. U. N. So for S. Um replace and with two and so we get too many times put the power True times two N. Negative one. That's coming after me 20 times to the Bark four and negative what? And that has given us and time go to the bar do it. We started with this authentic quotation gave all the one to end. It was given a portion. Actually I don't see your baby hatch mm for and it's changing So now the final quality S three and We'll talk about here as three and so it calls for At Equal Commission Kick 1 2 we end it is to me in here Gig was 1 2 free and eight times 2 and think it two and Stephen when I was just not from here take a look korean so kick okay Equal 1 2 to end as we know that is encoded about to win. But after that we take like to win me 2 1 plus one or 20 22 or 23. And so we have that U. n. c two n plus one plus and so on. Do NT three and that includes zero. We will last three months. That's coming out to be 10 times during the par Children. We go 10 on top of this 10 times to the bar Julian. Similarly just put here for S for entering information gate was 124 and we have killed U. N. Figure we have seen reasoning. Here We go. Like we have 22 n plus one till 23 and until 20 four. And patrol came out to be a little so after that we have all the germs doesn't matter where you go. So we get the same answer has given us and times to Aruba Julian. So do we have a work solution next to that statue and let you go? And the last one was as one. Thank you.

Hi in this given problem, we have to verify a few relations among a standard units. In the first part of the problem we have to obtain, we have to verify the relations among Newton per MP three square with Tesla meter, Parham Pierre. Then with Weber per ampere parameter. And finally with Henry or meter, we will begin with an expression border force magnetic force. Of course the force acting between to parallel current carrying conductors. And that is our unit length length of the conductors. To that force is given us. F by L. Is equal to mu not upon for pipe into two. Ivan into two, divided by our gap between them. Now using all ECE units here or a force. This is Newton four metre form you, Not upon four by that is Tesla meter for NPR two is you Nicolas dimension. Lys Ivan into I two. Both are M. Pierre. So this is the square of M. Pierre then finally meet her. So cancelling this meter here and shifting His MP three square towards left hand side, we get Newton or NPR's square is equal to Tesla meter. For NPR. First of the relation we have very fight then using a relation between magnetic flux and magnetically intensity. Fi is able to be into a unit of flux. Is weber magnetically S la area. Nita is square. So in place of this Tesla, we may use vapor per meter square. Hence this mutant for NPR is square may also be given as vapor four m square. for Tesla into meter divided by I am here Cancellelling this one m. Finally, it comes out to be weber or ampere into meter. Another relation be verified. Then finally, in place of this magnetic flux, we may use the relation for magnetic flux phi equals two L. I. It gives to us or flux. This is weber or self conductance, this is Henry into ampere. So now putting this relation of weber here we get newton. Peremptory square is equal to Henry into ampere divided by ampere into meter, cancelling this ampere. Finally we get Henry divided by meters. So finally it is verified that one newton for NPR square is equal to one Islam meter per ampere is equal to one vapor or ampere into meter. Or finally this is one Henry per meter, which is the answer for the first part of the problem. Actually it is not the answer. This is the verification, so we can say and it's proved no. In the second part of this problem, this time we will use expression for energy stored on a capacitor and that will be given as U. Is equal to of you square by sea. Now for energy that can be given as either it is jules or jewels written as newton into meter. So newton into meter is equal to for half, this is unit liss and dimension lists or Q square, this is the square of cool. Um, Boulami square then foresee, this is carriage. So finally we can say if we rearrange the terms one Dulami square part newton into meter is equal to one about it. Or if we divide both the sides. Buy em. Or we can say if we multiply both sides by one of them, we get one column is square. For newton Into Military Square is equal to one. Got it four metre and hands. This is also very fight. Thank you.

I'm not going to think you are the navy element in that speed. The amount of G. B. P, a lot of good water. Um, I know this question we start with this year we use the relations all this relation we use that down to the piece produced to uh let's look at our so from here we have uh took you equal people ago next frontier and maybe get an equal through L. And over all black and white from TVs. This will be like you were very close the P. L. R. N. State government. Now what we can do mr you steal from here doing what people us are over to and prepare. We use them and according to this we had people that are over to walk time. We have N two L. N. Or help lust. And also because we are yeah. No just uh work on this relation possibly by this year. Use the value of Cuban descent and Amanda's the square he distributed to get this a plan to replace our old square Lps and elsewhere and so all this we get the aura photographer peak. It was a little L over and plus and over better spirit board here they're multiplying would be over are we get the or are all here and it's been up negative L over and plus panel L Be over our and then plus one it will do. Now I just work on situation the bad prices now I want to be you were on the development and thank you for honoring and what else 40 from here we get the over our it was all over and or the over articles and what is not uh, not violent because people are not equal to anna. It is given the question to evolve in this past one your article was all over and or communicate from uh be good be over wrong again. So we get P times and because we have all time's up or we not be over one over end. It was our our one over and Our 3rd relation which is about earlier we got you were empirical P and okay from the rehab used were empty because we have now I've got PMT Ella was coming up to be we get peace. Parents were or the Cuban equals P. M. We can take you over one of them. The world P. Or one over. We call the relation from this and this religion are coming activity over one over N equals 2/1 over N equals out over one over it. Uh, pick you are proportional is maybe Ryan is a proportional vina. So early begins day uh, one over and one over M one over that is in proportion Propaganda piece produced two r equals he's tribute is to our proportion with one over and is 21 over and is to one over. Now that adoption be thank

Question is which of the following is not a crime try and receive is represented by that molecules that have actually get so we can observe that he'll start strong feeling and so it will be good to have and industrial. So first option is BDCL four who minus. So it will be, it always Bs people have palladium and platinum is always so people have read so correct on duty.


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