5

An auxlllary ectrlc ponet statlon wlll serve three communlties P; Qr and whose relatlve lccatlons are shown the accompanvlng figure: Determlne wnere the powe- stati...

Question

An auxlllary ectrlc ponet statlon wlll serve three communlties P; Qr and whose relatlve lccatlons are shown the accompanvlng figure: Determlne wnere the powe- station should be located the sum of the squarcs of thc distanccs from cach community thc sitc minimized,(miles|O( =tx(miles)R(-3Need Help?RoadulJuk ia nnuar

An auxlllary ectrlc ponet statlon wlll serve three communlties P; Qr and whose relatlve lccatlons are shown the accompanvlng figure: Determlne wnere the powe- station should be located the sum of the squarcs of thc distanccs from cach community thc sitc minimized, (miles| O( =t x(miles) R(-3 Need Help? Roadul Juk ia nnuar



Answers

Determining the Optimal Site for a Power Station An auxiliary electric power station will serve three communities, $A, B,$ and $C,$ whose relative locations are shown in the accompanying figure. Determine where the power station should be located if the sum of the squares of the distances from each community to the site is minimized.

Because of the letter. If you can, we go to a sigma over efforts. Non 06 months. It's the surface charge density on the plates and absolute zero is the primitively of a free space. So when the surface charge, since they can be able to charge over area, which is your great so you mentioned have excuse a group you over eight times absolute zero. So we know the charge on the plates is 59 O'Quinn's, which is fighters. Tender Bonnie equals absolute zero is the 8.85 testing on of 12. Cool and score a new contest meter square, and the area is just simply ego to 0.2 meters, where she's a two centimeter tends to his enemy across action. Okay, and we know two centimeter is still 20.2 meter, so their forties will give us every. It's about four times stand upon a negative for Mitre Square, so Louisville have refused. He was 1.4 tested positive on Volcker meter and if you if we divided the graph in the three regions, so first regions will be Franciosa one centimeter, as you can tell the direction of the electric view is going to last. It's a uniformed Let's review OK because there's a negative place on the left side. So therefore, if you consider that the part of the Russian is to write in the therefore the direction will be took. Toy left. So therefore, when he asks busy connective A 1.4, it has tend to part seven vote commuter and from region one centimeter to a two cent immunity, the last refuge of U zero. Because it's inside the conductor, we know the natural. Inside, a conductor is equal to zero ever onto seven years with three centimeter. The direction of the latter view is point over that writes in his uniforms wall. OK, because there's a negative place on the right side of the conductor. So therefore, the natural beauty, with one point for a test in the past, have involved a meter. So this is the graph for the natural few verses position, and for the next question, while we know yes can be connected TV over the X, which is connected the reserve off the potential so therefore we can also derive it divided into three regions, so from 0 to 1 centimeter would have Ah, potentially See connective integral. Over another E x t x. Okay, which is equal to integral. 1.4 times, 10 to power seven vote a meter, the axe and the ranges between zero to X. So we should have. Ah, potential around this region is one point for testing to pass seven x boats. So when x is equal zero, we know that potential should be called zero as well. Okay, but when ecstasy with one Samir which is 0.1 meter will have a potential. We speak with one point for times tension pop savvy and an ties, uh, zero point 01 And this will give us 1.4 times 10 to clarify Waltz. And for the second region, we just between one same year to two centimeter. The potential should be constant because, uh, united few in this region is equal. Zero sexism within and conductor. So therefore they slow off the potential. Russia's position graph should be equal zero okay. And a slow off the potential grab is just you attribute. Okay, So potential at this region is constant. And for the last region, which is between two centimeter to three centimeter, We'll have the potential Is evil inactive? 1.4 times 10 to power seven exports. Remember when asked people to send me here Which 0.2 meter? The potential should be with the 1.4 testing to qualify balls. Okay, because remember, during this region, the potential is constantly Emmys. It should be equal to any potential from the last question which is one point for attention to power five boats. So therefore, if we uh, it was on calculation here, we can determine the constant in the equations where constant be you see, go to a 4.2 a constant qualify boats. So therefore our actual equation or function well, this region should be connective 1.4 times 10 to part seven hacks. Last four points of it has time to qualify and the units is vote. So therefore we can determine where actual physical three centimeter, which is 0.3 meter. The potential should be below zero. OK, and this is gonna be the graph for the financial versus position. So this potential where his position where? So it's ah shape of Travis oy. Okay. And these that answers all these questions

Question number 30. Yeah. Well, given that graphical baga, this is next top services. This is accessing this is why access there is a line like this and this is the point for it. This is the point for B. Okay. And this is the want art. All right. And there is a point to be on the line. All right. There is a point to here. Okay. So uh okay. So he's given that the B. R. Is parallel to the Y axis. It artist parallel to excesses and people and divides every in the ratio people in the hard uh the line egg business here prove to three. Find the coordinator. Yeah. Okay. And This has given 90°. Exactly. Okay. So you have to find a good underwater. And this point is given us or three. This is me when I was nine 13. Okay. So this is departed. This is to express his three X. This should be okay. So I want to do it and three and this year's would to find the coordinates. So let's do it. You can see this uh You are not allowed. And I think on this you can control that. Uh Yes, parlamento. Yeah. Mhm. And has given that areas with a lot of work sexes and we are in texas. So definitely. So it's not kill them than you are. It'll be same. No, I couldn't One same export. Nothing same as B. Okay. But it's 90°. So I could not meet. So, we're going to remind them. We change it 31 9. All right. Three excesses. Okay. So I could learn to them and say and this are going to be at the Y. Axis. So so I assume I couldn't be and I put the order or maybe 600 b. And it's going to be so are 900. So now I can see so pick people Alto Air so you can write that picking. So so the people divide be on the same with you as on T. V. So you can right here. Okay. And this is me in the same with you. So E a bye Phoebe is equal to you are right. Nikki to me related issue. Thanks. So now against in the uh regarding the we love each other 90. And this Q also the part will come. She's the extra not to remain the same because B. R. S popularity. Yeah, The corner divisible by 9 & X. Okay. And this extraordinary is there and the rescue of cuba and we used to wait. So what is cuba cuba musically explain asleep? What does it make you begin? Here? You go to 13006 Is equal to three. So I can drive The X -9 is equal to fantastics minus books. Or you can drive five. Section 35 projects in Porto, terrible. Right? So God, for native music, 39. So, Okay. And before that also go to the bar. What is it? Nine and six Did you dance? Yeah, The trick is there on the line is for NATO accepts is okay, though. I could not remain saying. And the ranch viruses that's called not to mention. Okay. That concern has to be used. Thank you.

So our question gives us three vectors vector A, B and C on the X Y plane and were asked to calculate their components. And so, from the figure, we note that Vector C and Vector B are perpendicular in one another on a 90 degree angle, which implies that the angles between sea and the ex accesses 90 degrees. So in unit victor notation that three vectors can be written as Vector A is a ex times. I have vector b is B x times I had must be Why times J hat in vector C is C x times I had plus C y times j hat s o Then for part a grass to analyze X where X is equal to a time of the coast sine of the angle which is zero degrees co signer. Zero degrees is just equal to one. So this is just equal to a which is three meters, 3.0 meters quickened box. It is their solution to a for B. Hey, why well, we could tell from the figure that there is no white component to a so because this is a time to the sign of zero degrees, but the sign of zero degrees is zero. So as we could have intuitively known, this is just equal to zero Quicken box set in their solution to be Parsi wants us to find be of X, which is going to be equal to be time to sign of the angle where B is equal to four meters. So this is gonna be four meters times the sine of the angle. Excuse me, time of the coastline because it's, um because it's X and the angle for B is 30 degrees. This comes out to equal 3.46 meters weaken box it in was our solution to see Part D wants us to find be of y be of why is going to be equal to be, which is four meters times the sign we could put parentheses around this so we know it's multiplication here times the sine of the angle which is 30 degrees playing those values into this expression, this comes out to equal 2.0 meters. Okay, party wants us to find a sea of X, see if X is gonna be see time to sign the coastline of the angle which is 120 degrees will see is equal to 10 meters times the co sign of 1 20 degrees. Playing those nineties into this expression, this comes out to equal minus five meters, making box set in as their solution to eat part. If has assets to find sea of wine, this is gonna be C, which is 10 meters multiplied, of course, by the sine of the angle, which is 100 and 20 degrees. This is side of 120 degrees playing those values into this expression and calculating, and it comes out to be a 0.66 meters. Um, okay, well part G as ASA sick, Consider the fact that the vector see is equal to some number. P times Vector A plus some number. Q. You're just scale er's here times Vector B, and it wants us to find P and Q based on all the information we know. So this is going to be equal to P times A of X in the eye hat because that's vector A. Since there's no white component right in a plus cube, then we'll just This will be be of X in the eye hat plus be of why in the J Hat. So let's consolidate the components that are similar that I hadn t j had components. This is going to be equal to P times A of X plus. Q B of X, both in the eye had direction, right plus Q. Times Be of why I'm a J hat direction, right? Well, what does that tell us then? That tells us that since we know that C is equal to see of X plus e of why that means that Sea of X has to be equal to P. Times Ace of X plus, Q times. Piece of x and sea of y has to be equal to Q A Times B of like part G wants us to calculate P in part H wants us to calculate Q. Right? Well, Q's actually the easiest one to calculate, so let's go ahead. First, let's a solve for P P is going to be equal to sea of X minus Q. Times be of X divided by a of X, right, Well, we know what sea of exes we know. What b of exes and we know what a of X are those air all here, eh? Of exes. Three. Sea of X. It's minus five. B of X is 3.46 so we just need to find Q. Well, let's do that in part. Uh, R h will go back and do part G. Well, Q is equal to from here. See why Divided by be apply or C of why is, uh, see, if y is equal to 8.66 and be a Y is equal to two. Liking those values into the suppression. This comes out people 4.33 That's our solution. Thio three. Answer for Q, which is part age. So plugging bat back in, UM two p absolution for P and everything else in this expression, this comes out to be minus 6.67 We can go ahead and box set in as your solution to part

So with this problem, the first thing we're gonna be looking at is Kai Sub two of the graph of G. So, um, currently, this is a case of three. Um, however, the two is not all that difficult to see because all we have to dio is, um get rid of these extra ones thes extra colors. Um, and we see that this, in fact, is, um it's appropriate. And this is the fewest number of colors possible. Uh, the ideal thing to do is to connect, to make sure that those three take up all that eso. That way, you use this few colors as possible. And then once you use that as three, then you're gonna have to use, um, two more. Here s it'll be three. That'll be two and then four and then six for those. So that's how we get six for this, Then, um, as we said before, when we just have to add a third one, it's really not all that different. You just had a third colors. That's nine h is or gets a little more complicated. So what we do is we start off with these two. This is a just a strategy you can use, but you don't have to do it for all of them. And then because we're trying to keep it a smallest possible, we're gonna start mixing and matching. So we'll move a blue here and a pink here, and then we'll move the red here and the, um, the green here. So we're kind of mirroring that movement. And then once we do that, we can make these corners identical. And then we can add an extra color purple here, and we see that that gets us to seven different colors. 11 is pretty similar. Um, arguably 11 are not 11, but part D might be even easier. So we have We start off with thes three individual colors, and then we send them all to different points. So we send blue to the center, yellow to this corner, read to this corner, and then on the other side, we sent, uh, dark purple to the center, pink to this corner and purple to this corner. Once we did that, we, um, included green and orange, green and orange. And then in these corners, we put dark green, light green, dark green, light green and in doing this, um, we got to 10. And then lastly, we just had to add this black one in the center and that got us to 11 for part D.


Similar Solved Questions

5 answers
Assidnmeni Responses/submit?dep=18561504renesicn Daate SerCp8 20.P050. Consider the circuit in the figure below Take €ASl00 V, L 2.00 mH_ and R = 7.00 0.What istthe inductive time constant of the circuit? 286Calculate the current the circult 250 4s after the switch closed:(c) What the value of the Ilnal steady state cutrent?(d) How long does take the cuttent to reach 80% 0f Its MaXUum value?Need Help? UchdHaikomnnulonFuer
Assidnmeni Responses/submit?dep=18561504 renesicn Daate SerCp8 20.P050. Consider the circuit in the figure below Take € ASl 00 V, L 2.00 mH_ and R = 7.00 0. What istthe inductive time constant of the circuit? 286 Calculate the current the circult 250 4s after the switch closed: (c) What the va...
5 answers
Find for 95 fellc W s IhiS ~equa4en #RF pa V-nb e KPanSicn coe ffiient (JAzsatherma com PKesSi hilily caffcLe ht_(kTH
find for 95 fellc W s IhiS ~equa4en #RF pa V-nb e KPanSicn coe ffiient (J Azsatherma com PKesSi hilily caffcLe ht_(kTH...
5 answers
Dexerine whether the series is convergent or divergent:SVn Sn37zconvergentdivergent
Dexerine whether the series is convergent or divergent: SVn Sn37z convergent divergent...
5 answers
Roblem 1. Consider the following initial value problemV =U+e',51<t< 0,3(-1) =0.
roblem 1. Consider the following initial value problem V =U+e', 51<t< 0, 3(-1) =0....
5 answers
Suppose that f (x) tx + 1)(3x? + Zx - 1). Find the equation of the line that is tangent to f (x) at x = 1. Be sure to show all ef your work in an organized manner. Use QNLY: Power_Rule Product Rule_and Quotient Rule for Derivatives
Suppose that f (x) tx + 1)(3x? + Zx - 1). Find the equation of the line that is tangent to f (x) at x = 1. Be sure to show all ef your work in an organized manner. Use QNLY: Power_Rule Product Rule_and Quotient Rule for Derivatives...
5 answers
Correct option for A (Select |2. Correct option for B (Select ]3. Correct option for [ Select ] Same structures Stereoisomers Structural isomers Different molecules wiith different formulae
Correct option for A (Select | 2. Correct option for B (Select ] 3. Correct option for [ Select ] Same structures Stereoisomers Structural isomers Different molecules wiith different formulae...
4 answers
There is one strict requirement for the exit of a protein from the ER: it must be correctly folded.
There is one strict requirement for the exit of a protein from the ER: it must be correctly folded....
5 answers
Sample batting averages for baseball players from two opposing teams are listed. Find the coefficient of variation for each of the two data sets Then compare the resultsTeam A 0.297 0.2940.322 0.3280.333 0.3740.275 0.2230.247 0.294Team B 0.218 0.3010.325 0.2060.245 0.2260.303 0.2890.217 0.254The coefficient of varialion for Team Ais (Type an integer or decimal rounded to the nearest- tenth as needed:)
Sample batting averages for baseball players from two opposing teams are listed. Find the coefficient of variation for each of the two data sets Then compare the results Team A 0.297 0.294 0.322 0.328 0.333 0.374 0.275 0.223 0.247 0.294 Team B 0.218 0.301 0.325 0.206 0.245 0.226 0.303 0.289 0.217 0....
5 answers
CHsNhzPrediga cl producto principallOCH;"NHCHsCNiRCh]"CHgNo (cacciona
CHsNhz Prediga cl producto principall OCH; "NHCHs CNiRCh] "CHg No (cacciona...
5 answers
017. Instantaneous velocity Consider the position function s(t) ~16t2 128t (Exercise 13). Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at tTime interval[1,2] [1,155] [1,1.1] [1, 1.01] [1, 1.001]Average velocity
017. Instantaneous velocity Consider the position function s(t) ~16t2 128t (Exercise 13). Complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t Time interval [1,2] [1,155] [1,1.1] [1, 1.01] [1, 1.001] Average v...
5 answers
Enter your answer in the provided box.How many total moles of ions are released when 0.0621 mol Tof RbzSOs dissolves completely in water?mol
Enter your answer in the provided box. How many total moles of ions are released when 0.0621 mol Tof RbzSOs dissolves completely in water? mol...
5 answers
During the work-Up procedure, IM HCI solution is added_ Explain the role of HCI in this procedure.
During the work-Up procedure, IM HCI solution is added_ Explain the role of HCI in this procedure....
5 answers
What is the value of K for this aqueous reaction at 298 K?A+B = C + DAGo = 15.50 kJlmolK =
What is the value of K for this aqueous reaction at 298 K? A+B = C + D AGo = 15.50 kJlmol K =...
5 answers
Serena skiing around circular trail that has four kilometer radius_ If she travels through angle of 5.5 radians in the counterclockwise direction how far around the track has she traveled? Round your answer t0 the nearest tenth of a kilometer.5.5 kilometers12.6 kilometers17.3 kilometers22.0 kilometers4.0 kilomctcrs
Serena skiing around circular trail that has four kilometer radius_ If she travels through angle of 5.5 radians in the counterclockwise direction how far around the track has she traveled? Round your answer t0 the nearest tenth of a kilometer. 5.5 kilometers 12.6 kilometers 17.3 kilometers 22.0 kilo...
5 answers
Iron attendee? 1 1 each group_ HY 4 groups 1 LoMeremte 8 H ii Wani(0 Hnvtt and select every 1 1 hc Aendees bascd o thc dJy the attenders AUAIMHAIE 1 HL Then; 1 1 IV V desclbls lcnoces 1 duter 1
Iron attendee? 1 1 each group_ HY 4 groups 1 LoMeremte 8 H ii Wani(0 Hnvtt and select every 1 1 hc Aendees bascd o thc dJy the attenders AUAIMHAIE 1 HL Then; 1 1 IV V desclbls lcnoces 1 duter 1...
5 answers
Find J Jrze"dA, where R is the triangle with vertices (0,0), (0,1) &nd (2,0) R
Find J Jrze"dA, where R is the triangle with vertices (0,0), (0,1) &nd (2,0) R...
5 answers
Write Iinear function that has f(2) = 2 and f(4}Listithe coordinates 0fthree polnts on this Iine Sketch the graph of f. Is this Iine increasing, decreasing, or horlzontan?
Write Iinear function that has f(2) = 2 and f(4} Listithe coordinates 0f three polnts on this Iine Sketch the graph of f. Is this Iine increasing, decreasing, or horlzontan?...

-- 0.021883--