5

Kao] ProbktutCouskkr the ruse #(0)Vij ( - Vi)', 4) terShon: thatregular curte: Fluud Alu utcleuxth ol (rom tl pitt (2,2,0) t (,0, 4) Fiud tluc: eqquat iou ol t...

Question

Kao] ProbktutCouskkr the ruse #(0)Vij ( - Vi)', 4) terShon: thatregular curte: Fluud Alu utcleuxth ol (rom tl pitt (2,2,0) t (,0, 4) Fiud tluc: eqquat iou ol tla (Angent Iine (0 0 W ( = U. Fiud thue & qquatiou al tlc Oxculut Iug Plue 0 4 4t ( = 0.

Kao] Probktut Couskkr the ruse #(0) Vij ( - Vi)', 4) ter Shon: that regular curte: Fluud Alu utcleuxth ol (rom tl pitt (2,2,0) t (,0, 4) Fiud tluc: eqquat iou ol tla (Angent Iine (0 0 W ( = U. Fiud thue & qquatiou al tlc Oxculut Iug Plue 0 4 4t ( = 0.



Answers

$$ \begin{aligned} &\overrightarrow{B_{0}}=\overrightarrow{B_{1}}+\overrightarrow{B_{2}} \\ &\text { or, }\left|\overrightarrow{B_{0}}\right|=\frac{\mu_{0} i}{4 \pi l} \sqrt{2}=2 \cdot 0 \mu \mathrm{T}, \text { (using 3.221) } \end{aligned} $$

The given different chili question is peace with why number slash Hey, minus the e wire. Nash E plus four. Why a request? Uziel? So a I swear less being minus E r. Let's see. Will be quickly. Zero That s R squared minus four. God bless four will be quickly zero on solving this. With the help off. Make some family. We will get our minus two squared equals zero that is are will you would be quite are required to hama toe. So the general form for the given are essentially question would be see one peace where less c two p's where Ellen he thank you.

Minus wide of the power of four is equal zero, which we can rewrite as, uh, second derivative of y is equal to y to the power of four. That's why, yes, we make our usual substitution. V is equal to y project, and then the prime is equal to y double prime, which means it's equal to y to the power of four minus y. So that means our system is transformed into why prime is equally V, and the prime is equal to why to the power of four minus y. Yes. So this will have critical points where these air equal to zero. So from the first equation, you know that V is equal to zero in the second equation, we can break that down into why times Why cute Minus y Okay, so this is gonna equals zero. Where y is equal to zero and y is equal of one. So are critical points are 00 and 01 So if we go and sketch that we have 00 and you know one okay, and per the instructions and textbook, we could just graph this, um, you can either sort of split up into zones and figure it out. Or we can use a software, which is what I've done. We get that about zero. We actually get a counterclockwise circle, but around 01 we actually have a saddle point. So we're very close to 00 We actually have the circles. And then as we get a little bit further away, it starts Thio change its shape to something more eggy. And then, um, I think it's sort of warped that way. Okay, so this means that we have an unstable saddle and the stable CenterPoint.

Hello and welcome to this video solution of numerous. Here we are given a link comprehension. So here in statement one were given that and iron or a on roasting with sodium carbonate and lying in the presence of air gives to compound PNC. And you're from option the second part the solution be in concentrated. It's alan reaction with production furrows and it gives a blue color on precipitated of compound their cost solution of C. On treatment with considerate statistical gives a yellow colored compound E. And the compound even treat it with a seal gives an orange red compound F. Which is used as an ox raise anything. So you have to make certain predictions to come into the solution. So let me show you how it's made. So first of all we take for if he oh she had to poetry thus eight and a two freedom global neck And with air that is given seven or 2 good line gives you to a free two or three that's eight the name so Seattle four. That's it. It's a frustration. Next we have if we two or three reacting with concentrate sales that is given gives you who official three Last three H 2. Right now this official tree reacts with who before if he 10 6 that is protection fellow sign a great this gives you the blue solution pushing blue solution of if the four if he CN six whole trade plus 12 cases. Mm Next From three we have two any he wanted to see our well for That's 8/10 of food gives you we need to the odd 47 is the yellow color solution. Greatness in A. Two so four. That's it too. No you have in A to see our two or seven. Okay, last case here is the orange color substance of people pr two or seven that's 2010. So this is the so let us state what is A what is B. The first we have me is If you see a 23, this is a Next we have every two or 3 SCB or Yes. So this suits also be ready And in in 204 this is C. Right BNC. That is mentioned. Yes. Now this pushing blue books. Mhm. Yeah. Yeah. Whoa it is. Mhm. Okay. To see again this election with the this one your local er this is E and we have orange. What are some common? It does if Yeah. Right. I hope this is clear to you and have a very good rest of the day. Thank you.

Hey, ladies and gentlemen, today we're looking at problem number 4.7, Number 41. Um uh, just coming. It's kind of complicated. Explain what the whole problem says, but basically, ah, we have a ordinary, different show, Please, when you hear normal genius equation, um, and it has were given an initial or we're giving one solution you're and we were supposed to do is apply the, um, the reduction of order formula, which is this guy to get a second. Ah, linearly. Independent solution. Um, so ah, the way the way that I'm gonna do this is I'm gonna first look at, um, the integral in here. Um, it saw and deal with this issue first. And then the next step is Ah, look at the outside into Groll, um, this guy and finally then multiply this year by that answer. So So I kind of have this habit of what I'm doing. Something like this toe work, sort of from the outside or inside out. I'd always depends on what the equation balls, but in this case, seances, multiple inter girls and stuff. Um, I kind of, uh this is kind of the way I do it. Try it. Try not to do anything in a huge formula like this. I just sort of break it into smaller, um, formulas and stuff to make things hopefully cleaner. But you know more order these for me. So, um, like I said, the first step I'm looking at the p of tea and now p of tea. You have to remember you have to divide through by the key squared. So you get, um, p of tea is negative to t. And once we have that, of course, we just integrate. Like I said, the this inner inner inner girl. And that is just this guy, which is negative, P S D s. And and, you know, that just gives us to natural of tea. So we're done with the first step here, Um, the inner inner girl. And then we go to the outer one, which basically involves. Okay. Um well, looks okay. We Yeah. Sorry. Ah, sometimes was really could be infuriating. Okay, so, um, we we look at the exponential of that guy and exponential, this guys is too long t of just inputting the why one of t score. Why? One of t squared in the denominator. And this is the inner girl. Sorry. Um, and, uh, that gives us just after simplifying, because this guy is just going to give you this is just he squared, and this guy is just gonna be sometimes t squared. So you're gonna end up with T to the fourth once you simplify it. And that's an e easy enough, integral to calculate. So Steed of Fifth over five. Um, And then now I I saw for why to buy just plugging in. Well, why? One of tears and that's just t negative one. So this is just t negative one. So canceling the exponents just gives me t to the 5th 4th over five. Um, now, in reality, since you're always looking at, um ah, the, you know, linear combinations, is he? I mean, you could just use why to a t to be t over four. Either way is really fine. It doesn't matter. You can use T for tea over t to the fourth over five, but it actually really doesn't matter. Which use, um anyhow Ah, that's it for this problem. Uh, thank you very much.


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