5

32? + Tx 74 The partial fraction decomposition of can be written in the 23 + 412 + 9z + 36 f(c) g(z) form of where 22 + 9f(c)94/7Preview94 syntax ok 115 509 syntax ...

Question

32? + Tx 74 The partial fraction decomposition of can be written in the 23 + 412 + 9z + 36 f(c) g(z) form of where 22 + 9f(c)94/7Preview94 syntax ok 115 509 syntax okg(2)1-115/7+509/7Preview

32? + Tx 74 The partial fraction decomposition of can be written in the 23 + 412 + 9z + 36 f(c) g(z) form of where 22 + 9 f(c) 94/7 Preview 94 syntax ok 115 509 syntax ok g(2) 1-115/7+509/7 Preview



Answers

Decompose into partial fractions. $$\frac{3 x^{2}-11 x-26}{\left(x^{2}-4\right)(x+1)}$$

Okay, so we want to find our partial fraction the composition. So let's start by factoring out our denominator. Well, we concede that we have an X in common. So we're factoring that out first. No, no. Weaken back to this term into a X plus a three on the next minus one. So here we have three in your factors, so we can rewrite this as a over X plus B over X plus three and M plus C over X minus one. Now we're gonna multiply this by our city. That's X Times X plus three times X minus one. Okay, so this gives us, um seven X minus three and then we haven't a times a eight times X plus three Onda a explain this one. But that's just people to this term here. So we have a X squared plus it's you a X minus three a. And then we have be times and x one x minus one. So we have a b X squared minus a B X. That's right that out. And then we have C You have a C times a X times and expose city. So we have C X squared plus three c x. Okay, so what's group? What we have? We have an A plus team. What? See times X squared and then Or ex turns that's going to be a two a minus bi and then plus three seed timeto X and then a constant. That's just going to be a minus three A. They so starting with our Constance, you have negative three A is equal to negative today, which means that are a value is equal to one and then our ex term. That's the two times a hope. It's one. Why must be plus a three seed that's equal to a seven. And we also have this term a plus year plus c. Yeah. Okay, so this is going to be able to do this, girl, Let's recall that are a value is one. Okay, so here we can move this to by subtracting too. So we get a five here and here. We could move this one. So we have a minus one here and all its some through these two. So we get that for C is equal to a for this means that C is equal to one. Now let's put that back into this equation to find Pete. So we have B plus one is equal to negative blunder. Subtracting one. You get the physical today too. Okay, so we said are A is a one RB value is said to be a negative too. And or see value is a one.

This is the given the creation for which we have toe Find out the partial fraction but does minus 70 Next, plus 61 by six X squared plus 39 x minus for anyone for but it is not in the simplest form. So we are going up the donor by factory ization. So minus 17 express 61 music will do to the go two weeks minus one name to explosive it. So we're gonna decomposed this in creation in the imaginary partial fraction. So let us. I don't. So this is the decomposition off the question so we can see that there are two on 90 early and be so we want to find out the values off. Be on. We're gonna secure her to you to give us a partial fractions. So first, let does at the sport dorms. So this is what we get when we had both terms so we can see that they're denominators are the calls over your money. So when we quit, the new money doesn't reveal cricket like this so we can see that way we have to find the nb. So we're gonna use that matter. That is, we're gonna assume the values off extent we are gonna isolate about you. One final question if I know the values of the NB. So first, let us assume devalue off excess minus seven. So Board X is equal to minus seven. So we will get rid of 17 minus 17 into minus seven, less 61. The item becomes, you know, sort zero place be and do so in the minus seven minus one. So after we simplify, we will get the value off be as minus 12 is equal to minus 12. We're gonna assume the value off excess X is equal. Do one by So we're taking the value one by dough. Because the beatem becomes your own, we can find the value off it. So let us do that. If it's not sure that it will become minus 17 into one very to plus 61 is equal to in tow one by two, plus seven. So what if we simplify? We will get the value off years seven. So now we know the values off A and E. We have one us up shooted in the about the composition. Find out the answer So theon arms that is minus seven bean X plus 61 by six X squared less 39 x minus 21 is equal toe one bite through the door, seven by two weeks, minus one on and minus 12 by explicit. So this is the required partial fraction for which, which we have to find for the given question.

This is the given question that that's 26 x squared minus 36 X plus 22 by X minus Forward and talk to X minus one. Would square Piatco divide this into partial fractions. So first, let us rise 30 composition. So this is the decomposition. They're not to the unknown dorms here. Hey, B and C, we have to find the values on top shorter that we will get the passion for us. Let us right. Don't like us. Add these to the terms. This is what we get when we act out you terms. And if we observe the question on the sea equation, we will see that the denominator seem so we can cancel the denominator doesn't equate a new monitors. So let us do that. This is what we get when we are equal. Then you money doesn't nominate equipment monitors. You have to find note the values of the A, B and C. We can use the trial another matter, so oh, we have to assume a value off X at some shorter term. It's please. Then we will. We can actually 80 you don't you don't mostly dormant. Find about losing usually so for us letters consider the value or fix says Port. Excessive were due for we are taking extra years for because the big moments you don't becomes, you know we are left with the so we can find the value off air pricing before solar doesn't shorter. It does 26 in 2 16 minus 36 into four plus 22 physique weirdo. And so do in before minus one. Let's quit. So after we simplified about you off he is is equal. So let us take one more value. What X is equal dough one my door Little sub shoot value 26 in tow one by four minus 36 into one by two plus 22 is equal door see into one by two minus one by ford for the U When my X is equal to one by so a terminal B temple becomes it Also, we are left with the seat up so we can find out the value of C So, uh, the value off See, after simplification, iss si is equal to minus 30. Now we know that you know, again I DNC to find out the value of being first, let us assume or the above equation as one. We have to expand the first equation so well, it does expand it after explained expansion and simplification. The equation is this. So we can see there on the letters on the other choice both either in terms of a polynomial so we can equate the transforming provision off each. So let us take X squared television first. So for a plus toe be is equal to 26. Further timing. This is the only e question which we require as we are. You know all about you off A and C. So let us stop shoot the value offing in this to find out the rally off B so four into six plus toe be is equal to 26. So the value will be after the simplification. ISS B is equal toe one. So, no, we know the value off a BNC. So let us have shorter than the creation about the choir. The equation. So it does during the six x Square minus start basic sex plus 22 by X minus food and do two x minus one. Well, it's quit. Therefore, the value off is Oh, six six By explain this food the value off piers one. So plus one by two X minus one The value of SES minus to the minus Terry. So minus two, led by cool X minus one was good. So this is the required fraction partial fraction that we have we are required to find for the question.

Okay, so we want to find our partial fraction new compositions. So let's start by factoring out this exploited here and we have X plus women. So here we have three or two linear factors. One with the repeated term. Do we have a over X close? P over X squared? Let's see over X plus one. Still, it's multiplied by Article City, which is X squared and then an X plus one. So this gives us an X squared plus one is equal to and a X squared, plus a then plus a the X Plus e and then we have Plus they see X squared. So it's good, but we have we have an A plus. See Time's X squared plus a V X and in plus a plus B. So our X squared term that's a coefficient one that's equal to a post e. Okay. And then we have that are ex ERM what has nothing on her left hand side. So RB value is going to be able to go and then are constants a plus B. Is it good to one? Always said that b was There also is a good one and then, or evil is one service gives us. That's but is equal to one plus t So we get that, um si is equal to zero. Is this cracked? Let's double check this. Let me see if we factor out an X squared. We get X Plus one and up here we have an X squared plus one. Um, maybe I factor this incorrectly. Let me double check this. We haven't a x squared, plus a are. Actually, there's a next year. So it's actually we do what we have here. So actually, this should be a plus a b, Times X, and then we have a plus a constant. Which is this Pino? It's actually we start with RB value that's going to be equal to one, and then this is equal to zero. So we have that a is equal to negative one. And here this is one is you got another one plus e to get that see is equal to two. So it's really what we have we said, are a value is a negative one. RB value is a one. And in our see value that's going to be equal to a two


Similar Solved Questions

5 answers
What is the percent relative uncertainty of your measurement ifyour analytical balance reading is 0.0023 g, and your absolute uncertainty ist0.0001 g? Give vour answer to the proner number of significant fioures
What is the percent relative uncertainty of your measurement ifyour analytical balance reading is 0.0023 g, and your absolute uncertainty ist0.0001 g? Give vour answer to the proner number of significant fioures...
4 answers
Write the IUPAC name for cach of the following alkcne-containing compounds. Include E and dea)gration the ruuttte for full poinis;
Write the IUPAC name for cach of the following alkcne-containing compounds. Include E and dea)gration the ruuttte for full poinis;...
5 answers
3_ (25 points) A single tank initially contains 50 Ibs of salt dissolved in 500 gallons of water There is one inlet to the tank and one outlet from the tank The inflow has a salt concentration of 0.5 lblgal and flows in at a rate of 10 gallmin: The outflow is 10 gal/min of the uniform mixture. Solve for the mass of salt in the tank for all time t and sketch the behavior of the solution.InletTankOutlet
3_ (25 points) A single tank initially contains 50 Ibs of salt dissolved in 500 gallons of water There is one inlet to the tank and one outlet from the tank The inflow has a salt concentration of 0.5 lblgal and flows in at a rate of 10 gallmin: The outflow is 10 gal/min of the uniform mixture. Solve...
5 answers
(nsixtal Va luc Probktm Sy + Gy =3882e" Yla) --|,Y'() =Fnz' # laphce Hanse m Yis) o? opE _ mwverst Laplace 4,ns Erm o?Ycs) . Wite tk Solution 6? vPCsnsioe 4 & Afafntia/ 2qu4+6nY +6y'+4yCamplemenTaY Solutian Varie Tion Para melers melled SelutionScluConsiJev intial_Valua Prablem Y"7'-eY =I8et Y()20 ; y'6) 24 {L Laplace Hns Arm Ycs) &€ fu Fmchoyt) Deteroine Il Solulion Y(t) . #L Jiven IvP:us+a
(ns ixtal Va luc Probktm Sy + Gy =3882e" Yla) --|,Y'() = Fnz' # laphce Hanse m Yis) o? opE _ mwverst Laplace 4,ns Erm o?Ycs) . Wite tk Solution 6? vP Csnsioe 4 & Afafntia/ 2qu4+6n Y +6y'+4y CamplemenTaY Solutian Varie Tion Para melers melled Selution Sclu ConsiJev intial_Valu...
5 answers
Use graphing utility to graph the function to approximate (to two decima places) any relative minima h(x) 6x2maxima of the function. (If an answer does not exist; enter DNE:)relative minimum(x,Y)relative maximum(x, Y)
Use graphing utility to graph the function to approximate (to two decima places) any relative minima h(x) 6x2 maxima of the function. (If an answer does not exist; enter DNE:) relative minimum (x,Y) relative maximum (x, Y)...
5 answers
In a reaction between ammonia and glutaraldehyde, what is themajor product?(A) An imine(B) A cyanohydrin(C) A semicarbazone(D) A hydrazone
In a reaction between ammonia and glutaraldehyde, what is the major product? (A) An imine (B) A cyanohydrin (C) A semicarbazone (D) A hydrazone...
1 answers
Explain quantitatively why the free spectral range for a particular order, $m$, and maximum wavelength, $\lambda_{\max },$ is not restricted by overlapping light from order $m-1$
Explain quantitatively why the free spectral range for a particular order, $m$, and maximum wavelength, $\lambda_{\max },$ is not restricted by overlapping light from order $m-1$...
5 answers
Find the volume of the solid obtalned by rotalting the region bounded by y=6x - 2x2,y=0about the Ilre *=5 15171531 16 16101521
Find the volume of the solid obtalned by rotalting the region bounded by y=6x - 2x2,y=0about the Ilre *=5 1517 1531 16 1610 1521...
5 answers
Use the fact that the derivative gives the slope of a curve to decide which of the graphs (A)-(F) in Figure 9.6 could represent a solution to the differential equation.A.(GRAPH CANNOT COPY)B.(GRAPH CANNOT COPY)C.(GRAPH CANNOT COPY)D.(GRAPH CANNOT COPY)E.(GRAPH CANNOT COPY)F.(GRAPH CANNOT COPY)$$ rac{d y}{d x}=1-x$$
Use the fact that the derivative gives the slope of a curve to decide which of the graphs (A)-(F) in Figure 9.6 could represent a solution to the differential equation. A.(GRAPH CANNOT COPY) B.(GRAPH CANNOT COPY) C.(GRAPH CANNOT COPY) D.(GRAPH CANNOT COPY) E.(GRAPH CANNOT COPY) F.(GRAPH CANNOT COPY)...
5 answers
A stone is thrown vertically upward from the ground with an initial speed of 12m/s. The altitude of the stone after Is is
A stone is thrown vertically upward from the ground with an initial speed of 12m/s. The altitude of the stone after Is is...
4 answers
Factor each of the following expressions as completely as possible. If an expression is not factorable, say so.$$t^{2}-12 t+36$$
Factor each of the following expressions as completely as possible. If an expression is not factorable, say so. $$t^{2}-12 t+36$$...
1 answers
Solve each equation. $$ \left(m^{3}+26\right)^{1 / 3}=m+2 $$
Solve each equation. $$ \left(m^{3}+26\right)^{1 / 3}=m+2 $$...
5 answers
Apply Euler’s theorem to compute the following:a. (14^53 + 28^61 ) mod 11b. ((33^71 + 285^43 ) (143^20 + 150^61 )) mod 7c. (15^1234500 × 14^1234520 ) mod 19 (Hint: (–4)( –5) ≡ 1(mod 19))^ means to power of
Apply Euler’s theorem to compute the following: a. (14^53 + 28^61 ) mod 11 b. ((33^71 + 285^43 ) (143^20 + 150^61 )) mod 7 c. (15^1234500 × 14^1234520 ) mod 19 (Hint: (–4)( –5) ≡ 1 (mod 19)) ^ means to power of...
5 answers
IinJ FU,Vzlauy "nlky Senw ] 22 Je Vzs1z) 6RM 950S JJeosxH X-?X-27 aw} Y+x? abad EZ
IinJ FU,Vzlauy "nlky Senw ] 22 Je Vzs1z) 6RM 950S JJeosxH X-?X-27 aw} Y+x? abad EZ...
5 answers
Ocmistryemluttvabi 4 Dctudent_set-50a73anbbe25a47868662415JorzaThalsehimesir Eutrynn-tlon [Itiswunlantuullnitedatonts Tenmouttut ntnuny3077 712Question pntIst attemptJscc Periodic TzhleWarmed bythe process the airin the tznk anto ?tanr does69.0 Jol crk pumpin ued with paint_Kzit [eneraty Of thc air inthe tarkas aresuit atthetwo AnJir compresso what is lhechangeintheinterna cnenz its surroundings gves ott 38.0 Drocessc:02/20=
Ocmistry emlutt vabi 4 Dc tudent_set-50a73anbbe25a47868662415 Jorza Thalsehimesir Eutrynn-tlon [Itiswunlant uullnitedatonts Tenmouttut ntnuny 3077 712 Question pnt Ist attempt Jscc Periodic Tzhle Warmed bythe process the airin the tznk anto ?tanr does69.0 Jol crk pumpin ued with paint_Kzit [eneraty ...
5 answers
Question 1 (1 point)Which H-atom signal will produce a heptet (seven lines) in the 'H NMR?Hch & Hd
Question 1 (1 point) Which H-atom signal will produce a heptet (seven lines) in the 'H NMR? Hc h & Hd...

-- 0.018956--