5

A) EvaLudie J Xydxixdy where € LS givcn_ly ~FR+-L<x42 b) Evaluale I= Je siny-dx! Ietcosy-Lx-Zyldy-counieclock isc around Ine ellipse 4X+y?-4. fx cannoLuse ...

Question

A) EvaLudie J Xydxixdy where € LS givcn_ly ~FR+-L<x42 b) Evaluale I= Je siny-dx! Ietcosy-Lx-Zyldy-counieclock isc around Ine ellipse 4X+y?-4. fx cannoLuse pOLc akunlts) Jhank_yau ! Hboy

a) EvaLudie J Xydxixdy where € LS givcn_ly ~FR+-L<x42 b) Evaluale I= Je siny-dx! Ietcosy-Lx-Zyldy-counieclock isc around Ine ellipse 4X+y?-4. fx cannoLuse pOLc akunlts) Jhank_yau ! Hboy



Answers

You are given an ellipse and a point $P$ on the ellipse. Find $F_{1} P$ and $F_{2} P$, the lengths of the focal radii. $$2 x^{2}+3 y^{2}=14 ; P(-1,-2)$$

Okay, So this problem we write the lips and more of a standard form will have X squared over 57 plus y squared over 57. Divided by three is equal to one. So our F one p there's just gonna be a plus. The east centrist city, Times X, and the ah focal point to To to the point is gonna be a minus. You re backs. Okay, so a is gonna be just the square to 57 e. Um, it's some algebra run, but it's a squared minus beast. The spirit of a squared minus B squared to get your see value divided by a and a squared minus. B squared is just 2/3 of 57. So the square root of 2/3 of 57 divided by a squared to 57 squared 2/3 which is just equal to the square root of six ever. Three. Okay. And then our X is we get from the point and the problem and the point they gave us is three. Okay, So, uh, final answer here is just gonna be square with 57 uh, plus this herd of six and square to 57 minus the square to six, and that's it. Thank you very much.

Way have been given anything Waas exciting. Why's in glass JK which given a two d I plus three d j minus decay. So we have given our being well to d I last three t z minus t k are nasty. What do 23 on minus one. Therefore, if they are 90 days, this is given as one duty 30 on my honesty window t 03 on minus one DT is equals to 1 40 plus 90 last t did you which is given as one? It is 14 to you just did. He is equal to 14 1 given as just to the

In discussion. We are provided with the center of the ellipse here and it is in polar form. That is three come up by by two. And our taxes given to us. That is one comma three by by two. Okay, I can invite you them incarnation form also because Kardashian form says that he'll to write our costs data and R. Sine theta. And here you can see that this is R and theta. So are positive. Should be zero and arson scientist, I should be three here are positive again, should be zero and our science data that is minus one. Okay, now with the help of this information, I am going to sketch here rough diagram because it is very helpful in finding the equation here. We have origin or I can say that focuses also there. Okay. And the center is at zero comma three. Somewhere here your zero materialize and what taxes here that is zero comma minus one. Okay, now this is where texas is centers. So our ellipse should be look like this way here. Okay so this is the shape of the lips that we get and somewhere here we should have our directors. Okay now you can see that your direct brick seeds horizontal here and and also it is below the ball. Okay you can see. And due to this reason the equation that we have to decades in the form of arctic was to be a born one minus a scientific. Okay now here we have to find the value of E. And D. So first of all look in this diagram. Okay if we think about this distance from center and focus then they did it was 23 and this distance is one here. Okay. In the in terms of distance now we know that C. Is the quantity that the north their distance between focus and center. Okay So here it should be close to three. And is the distance between. He's the distance between Send us and where tax? Because it is semi major axis and it is here three plus one. That is four. Okay. Now with this help we can find the value of here. We can say that he should be the ratio of C. And A. That is three x 4. Okay now I write the equation. That was our it was to be one one minus sine theta. I put the value of the year 14 to 3 by four, divide by one minus three by four. Sine Theta. Okay We multiply four with numerator and denominator. Then we get our equals to three d. f. one 4 -3 Scientist to. Now here I have to find developed the for that I am going to satisfy that. Our tax because we know that vortex should satisfy in the exhibition. So what taxes given to us? That is one coma three by by two. Okay so it's satisfied. And I'm going to put it here at the place of art. We have to take one and three D. A. One for minus three signed three by way too. Okay now I know the value of sign 35 or two is minus one. So when it was 23 D. Upon four minus three to minus one from here we get the value of three D. 37. Okay now I put the value of three D. In the equation then I can say that my final answer or situation of ellipse. Okay in polar form should be our request to seven divided by 4 -3 Science Theatre. Okay, this is the final answer of this question here. Yeah. Thank you.

In discussion. We are provided with the center of the ellipse here and it is in polar form. That is three come up by by two. And our taxes given to us. That is one comma three by by two. Okay, I can invite you them incarnation form also because Kardashian form says that he'll to write our costs data and R. Sine theta. And here you can see that this is R and theta. So are positive. Should be zero and arson scientist, I should be three here are positive again, should be zero and our science data that is minus one. Okay, now with the help of this information, I am going to sketch here rough diagram because it is very helpful in finding the equation here. We have origin or I can say that focuses also there. Okay. And the center is at zero comma three. Somewhere here your zero materialize and what taxes here that is zero comma minus one. Okay, now this is where texas is centers. So our ellipse should be look like this way here. Okay so this is the shape of the lips that we get and somewhere here we should have our directors. Okay now you can see that your direct succeeds horizontal here and and also it is below the ball. Okay you can see And due to this reason the equation that we have to decades in the form of arctic was to be a born one minus a scientific. Okay now here we have to find the value of E. And D. So first of all look in this diagram. Okay if we think about this distance from center and focus then they did. It was 23 and this distance is one here. Okay. In the in terms of distance now we know that C. Is the quantity that the north their distance between focus and center. Okay. So here it should be close to three. And is the distance between. He's the distance between Send us and where tax? Because it is semi major axis and it is here three plus one. That is four. Okay. Now with this help we can find the value of here. We can say that he should be the ratio of C. And A. That is three x 4. Okay now I write the equation. That was our it was to be one one minus sine theta. I put the value of the year 14 to 3 by four, divide by one minus three by four. Sine theta. Okay We multiply four with numerator and denominator. Then we get our equals to three d. f. one 4 -3 Scientist to. Now here I have to find developed the for that I am going to satisfy that. Our tax because we know that vortex should satisfy in the exhibition. So what taxes given to us? That is one coma three by by two. Okay so it's satisfied. And I'm going to put it here at the place of art. We have to take one and three D. A. One for minus three signed three by way too. Okay. Now I know the value of sign 352 is minus one. So when it was 23 D. Upon four minus three to minus one from here we get the value of three D. 37. Okay now I put the value of three D. In the equation then I can say that my final answer or situation of ellipse. Okay in polar form should be our request to seven divided by 4 -3 Science Theatre. Okay, this is the final answer of this question here. Yeah. Thank you.


Similar Solved Questions

5 answers
Sing the symmety of the arrangement; determine the that %a +6.75 /C direction of the force on 6.75 pC q in= and qis positive. the figure below, givenup and lelt up and righl down and rightdown and lelt right lelt downCalculate Ihe magnitude of Iho force on thc charge 9-2.15 AC_ given that Ihe square is 11.20 cm on a side andNumber
Sing the symmety of the arrangement; determine the that %a +6.75 /C direction of the force on 6.75 pC q in= and qis positive. the figure below, given up and lelt up and righl down and right down and lelt right lelt down Calculate Ihe magnitude of Iho force on thc charge 9-2.15 AC_ given that Ihe squ...
5 answers
S herocytometerd large # I Sin Wese the the the he Gand and uoisuadsns concentration of viable I0 1.4 Lw cell _ the trelisn ! V bbuieea and uoisuadsns 8 load 0 of cells cells square using hemocvtometer the and 60 cell Youfinal U deliver cells 5020 releli? 8 ml per well of an 8-well chamber slide_ What will theplate Assuming wells (1.5 that you have *1o3e celg 8 suspension ml per well}: Pinom Mo4 106 2 cellslmi; cell proceedym "sholuerur_ rndc Icoution: 1
S herocytometerd large # I Sin Wese the the the he Gand and uoisuadsns concentration of viable I0 1.4 Lw cell _ the trelisn ! V bbuieea and uoisuadsns 8 load 0 of cells cells square using hemocvtometer the and 60 cell You final U deliver cells 5020 releli? 8 ml per well of an 8-well chamber slide_ W...
5 answers
Omi polntsi Previous AnswersFind the Indefinite Integral. 4r' 53r + 3 dr7 +C[ymbolic formatting help)Viewing Saved Work Revert t0 Last ResponseSubmit AnswerEn1 polntsFind the Indefinite integral. [5 3V7 dr9+€Exmbolic [o matting help)
omi polntsi Previous Answers Find the Indefinite Integral. 4r' 53r + 3 dr 7 +C [ymbolic formatting help) Viewing Saved Work Revert t0 Last Response Submit Answer En1 polnts Find the Indefinite integral. [5 3V7 dr 9+€ Exmbolic [o matting help)...
5 answers
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = Vf: (If the vector field is not conservative, enter DNE.) F(x, y) = (2x 2y) i + (~2x + 10y 9) jflx , y) =2vr + 5y2 Sy + C X
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = Vf: (If the vector field is not conservative, enter DNE.) F(x, y) = (2x 2y) i + (~2x + 10y 9) j flx , y) = 2vr + 5y2 Sy + C X...
5 answers
The graph above is a transformation of the function z?Write an equation for the function graphed above
The graph above is a transformation of the function z? Write an equation for the function graphed above...
5 answers
The function P(r) = +15 givesthe population ofa small townx years since 1990. What is the population of the town in the year 2000? Find the inverse of the function P (x)= Find P-'(19) Usinga complete sentence,explain what this value meanswithin the contextof the problem: Be sure to include units_
The function P(r) = +15 givesthe population ofa small townx years since 1990. What is the population of the town in the year 2000? Find the inverse of the function P (x)= Find P-'(19) Usinga complete sentence,explain what this value meanswithin the contextof the problem: Be sure to include unit...
5 answers
18) Review the malonic ester and acetoacetic ester syntheses in Chapter 22. In the scheme below, indicate reagents reaction conditions required to prepare 3-phenylpropanoic acid from diethyl malonate Be specific, and select reagents judiciously:EtOOEtPhOH
18) Review the malonic ester and acetoacetic ester syntheses in Chapter 22. In the scheme below, indicate reagents reaction conditions required to prepare 3-phenylpropanoic acid from diethyl malonate Be specific, and select reagents judiciously: EtO OEt Ph OH...
5 answers
Vector C has a magnitude of 28.2 m and points in the ~y-direction: Vectors A and B both have positive y-components; and make angles ofa = 44.4' and p = 28.70 with the positive and negative x-axis, respectively. If the vector sum A + B + € = 0,what B? are the magnitudes of A anIAIIB|
Vector C has a magnitude of 28.2 m and points in the ~y-direction: Vectors A and B both have positive y-components; and make angles ofa = 44.4' and p = 28.70 with the positive and negative x-axis, respectively. If the vector sum A + B + € = 0,what B? are the magnitudes of A an IAI IB|...
5 answers
Which statement is NOT true?Rejecting the null hypothesis when it is true is a Type error_B. Type Il error can occur for both one and two-tailed tests_C Failing " to reject the null hypothesis when it is false is a Type Il errorD: The probability of making a Type error is symbolized by a.0 E: Failing to reject the null hypothesis when it Is false Is a Type erron
Which statement is NOT true? Rejecting the null hypothesis when it is true is a Type error_ B. Type Il error can occur for both one and two-tailed tests_ C Failing " to reject the null hypothesis when it is false is a Type Il error D: The probability of making a Type error is symbolized by a. 0...
5 answers
THE STOCK MARKET Refer to the graph below, which shows the earnings (and losses) in the value of one share of Goodyear Tire and Rubber Company stock over twelve quarters. (For accounting purposes, a year is divided into four quarters, each three months long.)a. In what quarter, of what year, were the earnings per share the greatest? Estimate the gain.b. In what quarter, of what year, was the loss per share the greatest? Estimate the loss.(GRAPH NOT COPY)
THE STOCK MARKET Refer to the graph below, which shows the earnings (and losses) in the value of one share of Goodyear Tire and Rubber Company stock over twelve quarters. (For accounting purposes, a year is divided into four quarters, each three months long.) a. In what quarter, of what year, were t...
5 answers
Solva the equation. In(z + 4) + Infr 1) =1 Differentiate Lot f(r) Find the criticnl number () of f , and tha [ntervael( ) of increnea ducrei
Solva the equation. In(z + 4) + Infr 1) =1 Differentiate Lot f(r) Find the criticnl number () of f , and tha [ntervael( ) of increnea ducrei...
5 answers
In a chemical reaction the difference of mass between thereactants and products is found to be 5.25x10-28 kg.That mass is converted to energy. Calculate the energy. (Hint: useEinstein’s formula E = Dm c2, where Dm denotes thedifference in mass.
In a chemical reaction the difference of mass between the reactants and products is found to be 5.25x10-28 kg. That mass is converted to energy. Calculate the energy. (Hint: use Einstein’s formula E = Dm c2, where Dm denotes the difference in mass....
5 answers
U(1,2) = % 0 < < < 1 Du = 0, u(r,1) = 0, 0 < r < dz
u(1,2) = % 0 < < < 1 Du = 0, u(r,1) = 0, 0 < r < dz...
5 answers
50 mg of the chalk sample reacted with 25 ml of 0.05M HClsolution and back titrated with 0.05 M NaOH, 7.2 ml volume requiredto reach end point, calculate % of CaCO₃ in chalk sample (Molarmass of CaCO₃ 100 gmol)
50 mg of the chalk sample reacted with 25 ml of 0.05M HCl solution and back titrated with 0.05 M NaOH, 7.2 ml volume required to reach end point, calculate % of CaCO₃ in chalk sample (Molar mass of CaCO₃ 100 gmol)...
5 answers
A particle moves along the curve V = 2x 3x +4 At a certain moment; when x=2 the particle' s x-coordinate is increasing at the rate of 0.5 unit per second: How fast is its y-coordinate changing at that moment?
A particle moves along the curve V = 2x 3x +4 At a certain moment; when x=2 the particle' s x-coordinate is increasing at the rate of 0.5 unit per second: How fast is its y-coordinate changing at that moment?...
5 answers
Which of the following is true for both corals and monkeys?both contain the same number of embryonic tissue layers both contain a body cavity (coleum) that develops between the body wall and digestive system both have the same type of body symmetry both contain true tissues
Which of the following is true for both corals and monkeys? both contain the same number of embryonic tissue layers both contain a body cavity (coleum) that develops between the body wall and digestive system both have the same type of body symmetry both contain true tissues...
5 answers
Luearamdeeent chmuulatrmInloen) ultePrlrIroo chitton Shalauhyona cndd etuldHocwonncadietUsa txbontta modol Ine peanlClatrnmerentchalelaluyatFWuctUereesenleancuGr
luearamde eent chmuulatrm Inloen) ulte Prlr Iroo chitton Shal auhy ona cndd etuld Hocwonn cadiet Usa txbontta modol Ine peanl Clat rnmerent chalelaluyat FWuct Ue reesenl eancuGr...

-- 0.028882--