5

Find funetion f(€,y) such that Vf 259, I2 + 3y2) . Use this t0 calculate the vector- field line integral of (21V, I2 + 3y7) along where is alY sIooth and co...

Question

Find funetion f(€,y) such that Vf 259, I2 + 3y2) . Use this t0 calculate the vector- field line integral of (21V, I2 + 3y7) along where is alY sIooth and continuous curve fromn (1,0) to (3,2)-Use Green s TheOreI to calculatery" )dc +)dy where C is the clockwise - oriented closed curve bounding the region in the first quadrant of the Iy-plane between the parabola y = %? and the line y = 1.

Find funetion f(€,y) such that Vf 259, I2 + 3y2) . Use this t0 calculate the vector- field line integral of (21V, I2 + 3y7) along where is alY sIooth and continuous curve fromn (1,0) to (3,2)- Use Green s TheOreI to calculate ry" )dc + )dy where C is the clockwise - oriented closed curve bounding the region in the first quadrant of the Iy-plane between the parabola y = %? and the line y = 1.



Answers

Evaluate $\int_{C} \mathbf{F} \cdot \mathbf{T} d s$ for the vector field $\mathbf{F}=x^{2} \mathbf{i}-y \mathbf{j}$ along the curve $x=y^{2}$ from $(4,2)$ to $(1,-1)$ .

Oh, yeah. If just given us excess crab like that minus while did so. It's the clothes wise from for two to to one might ask what? Therefore we have this condition if Doc India sequence too A cease fire, my ass. While this is the director in Vieques, delight therefore days solution for a while. It's his body. It's minus two Do minus one. Why do I therefore it just given us Exc your tree for a while, minus wise, Quite over toe to my house. This is giving us minus 63/3, my ass. 1/2 minus. They want to find a 63 or three minus our last two, which is given as minus 21. Blessed to minus half. This is this is doomed. Just given us my ass. 19 minus half, which is a part of my study nine toe dancer given problem

You know, were asked to evaluate, were given a vector field and I swear a path and were asked to evaluate the line integral in this vector field counter clockwise along this path. So the vector field is Yeah, equals y I minus X j and the path. All right, this is the unit circle given by X squared plus y squared equals one. Yeah, counterclockwise from the point 10 work. Health care saying 201 Yeah, so we can prima tries this curve. As you said, r of t equals say, co sign of t sign of t where t ranges from zero two pi over two. So that's it. Slaps. Yeah, this is how, and we have that The line integral over c r curve of f dotted with gr. This is the integral from T equals zero to pi over two of our function f in terms of t. So this is sign of T I minus the co sign of T jay dotted with D R. Well, to do this need to find our prime of t. Damn, this is negative sine of t co sign of t and so well dot This with negative sign T I plus co sign of T Jay D t Evaluating this is the integral from zero to pi over two of negative sine squared of T minus co sine squared of t d T. This is equal to this is negative one times the integral from zero to pi over two GT, which is negative. Pi over two. Yeah, you can believe the right things. The only theory

Which is force. This is why I got minus six in Jamaica. Uh, it's a squad arrest wise, but equals from while digital too. Is it a lot now this is in tradition. Why minus X and yes, they were So let's just have a bad breast Is as its peoples costea the T minus society didn't Why waas sign day do you any less costed? Et on it is just toe No, this is he gonna do the addition y dx minus six Doing this is equal to guess ended up by over two. It is a scientific into minus scientists didn t minus cost into cost The DJ This is even as and distributed through my sci fi Diddy minus causes fighting DT There is equal to minus because by true since party bless cross party Did you is giving out my ass by our go Did he just given us minus I think this is dancer

In this problem of line integral. We have to calculate the line integral of the vector field along the line between the given points. And we have given the vector field as The effort. The vector field this is equals two. So this is equal to R. And this is equal to X. I plus Y J. And we are moving from 22266. We are moving from two 2, 6 or six. No first we have to find the delta. Are that means changing position. So this is a really good way. 6 -2 Squared. Or first we can calculate the distance from origin here. So this will, it would be or we have the graph also. So this can be represented on a graph also. So this point is to to and this point is 66. So this is 6, 6 and we have pointed to we can name it as point A point B. And the city origin. So this is a point. We are going from zero to A. And then again we have the position from A to B. This is a required part from A to B. Now, this is we can say this is our one and from or to be this really would be are too So delta are would be all too -R1. So first we are calculating are one so our winners equals two under root of two square plus two square, which is equals two here four plus four which is equals to eight. And two routes to Now we have to calculate are too, so are two is equal to underwrite of 60 square plus 60 square. That is equal to 72. That means six under root of two. So we have delta region equals two. This is six routes to minus two route to now. We have to find the value of F dot D r along the courtesy so we can write it as our dot de are so this is our door dear. So this really will be our dear and lower limit of our our one. This is equal to two And a parliament of our which is equal to 62. Now when we integrated so integration of our age equals two R squared away with two. Now we have to put the lower limit of our which is 2 to 2 and a parliament of our which is 602. Now putting the parliament. So this way we will be 72. So this is 70 to minus Lower limit. So this is equal to eat divided with two. When we solve it This is equal to 70- -8. This is 64 divided with two which is equal to 32. So we have the right answer. Rest 30. Do


Similar Solved Questions

5 answers
[Revicw Topics] [References] Use the References t0 access portant values if needed for this question: Eren though you can probably do this Without it, see ifyou Can use dimensional analysis to solve the folung pobA man 15 ordering beer for barbecueIfhe 15 expecting 84 guests and wants t0 provide an arerage of 4 cans of beer per guest; how many Iwehe-paisateasa5welve ~packsRety Exctire Groupmore groun altempts remaiingSubmit Ansuer
[Revicw Topics] [References] Use the References t0 access portant values if needed for this question: Eren though you can probably do this Without it, see ifyou Can use dimensional analysis to solve the folung pob A man 15 ordering beer for barbecue Ifhe 15 expecting 84 guests and wants t0 provide a...
5 answers
16 1 1 conneced
1 6 1 1 conneced...
5 answers
Conclusions based on your pH readings 1. From your pH data, list the name and formula of substances (used in this experiment) in the following categories: Strong acid: MLMHCL Lynchlhacicll Weak acid: Milk Strong base: _LOM Aad# ISidlum_hycnxide Weak base: -pWatcr Salt, which gives neutral solution: Salt; which gives acidic solution:
Conclusions based on your pH readings 1. From your pH data, list the name and formula of substances (used in this experiment) in the following categories: Strong acid: MLMHCL Lynchlhacicll Weak acid: Milk Strong base: _LOM Aad# ISidlum_hycnxide Weak base: -pWatcr Salt, which gives neutral solution: ...
5 answers
A transverse, periodic wave on string has the wavefunction: y(x,t) = 0.09cos(8.00x+4630.00t) where all quantities are given in base Sl units_Part A Which direction is the wave propagating?+Y direction+X direction~X directionboth and Y directionsdirectionSubmit Request AnswerPart B What is the amplitude of the wave?AzdA =
A transverse, periodic wave on string has the wavefunction: y(x,t) = 0.09cos(8.00x+4630.00t) where all quantities are given in base Sl units_ Part A Which direction is the wave propagating? +Y direction +X direction ~X direction both and Y directions direction Submit Request Answer Part B What is t...
3 answers
3 a) If factor A and factor B are evaluated at 3 levels with 4 replicates how many total test would be used in a full factorial experiment?b What are the degrees of freedom for A, B, AB, Err and Total?dofAdofBdofABdofErrdoft
3 a) If factor A and factor B are evaluated at 3 levels with 4 replicates how many total test would be used in a full factorial experiment? b What are the degrees of freedom for A, B, AB, Err and Total? dofA dofB dofAB dofErr doft...
5 answers
1. [6 marks] Test the convergence (i .e , find the limit as n 0, if it exists) of each of the following infinite sequences with n-th terms given by: I00 (b) bn 200 + 20n2
1. [6 marks] Test the convergence (i .e , find the limit as n 0, if it exists) of each of the following infinite sequences with n-th terms given by: I00 (b) bn 200 + 20n2...
5 answers
K a physician applles eye drons that inhibit muscle fibers controlled by the parasympathetic division. you would expstMulriple CholceVhicedth? Pjtieni; Dudiito conjtictorarer= Dupi {Q Jiijty(na ze /rine ;70
K a physician applles eye drons that inhibit muscle fibers controlled by the parasympathetic division. you would expst Mulriple Cholce Vhiced th? Pjtieni; Dudiito conjtic torarer= Dupi {Q Jiijty (na ze /rine ;70...
1 answers
Two metal spheres are separated by a distance of $1.0 \mathrm{cm}$ and a power supply maintains a constant potential difference of 900 V between them. The spheres are brought closer to each other until a spark flies between them. If the dielectric strength of dry air is $3.0 \times 10^{6} \mathrm{V} / \mathrm{m},$ what is the distance between the spheres at this time?
Two metal spheres are separated by a distance of $1.0 \mathrm{cm}$ and a power supply maintains a constant potential difference of 900 V between them. The spheres are brought closer to each other until a spark flies between them. If the dielectric strength of dry air is $3.0 \times 10^{6} \mathrm{V}...
2 answers
(10 points) Compute the Fourier representation of the function f (x): if ~2<* < 0 f(x) = { 2 if flx +4) = f(x) 0 < x < 2
(10 points) Compute the Fourier representation of the function f (x): if ~2<* < 0 f(x) = { 2 if flx +4) = f(x) 0 < x < 2...
5 answers
What was the median Median Salary for these 1000 dealership locations?(Round to two decimal places as needed:)
What was the median Median Salary for these 1000 dealership locations? (Round to two decimal places as needed:)...
5 answers
Find all zeros exactly (rational, irrational, and imaginary for each polynomial equation.$$2 x^{3}-5 x^{2}+1=0$$
Find all zeros exactly (rational, irrational, and imaginary for each polynomial equation. $$2 x^{3}-5 x^{2}+1=0$$...
5 answers
Determine whether the given equation is linear or nonlinear.$$x=-6$$
Determine whether the given equation is linear or nonlinear. $$x=-6$$...
1 answers
Evaluate the integral. $$ \int_{1}^{8} x^{-2 / 3} d x $$
Evaluate the integral. $$ \int_{1}^{8} x^{-2 / 3} d x $$...
5 answers
Evaluate the inlegraldx0 IKVi6x" = 6 V6 OA sin ~2T6x+€OB-sec 'I4xl-COcsec'14*-61+€Wo @D_ sec IH+64|+c
Evaluate the inlegral dx 0 IKVi6x" = 6 V6 OA sin ~2T6x+€ OB- sec 'I4xl-C Oc sec '14*-61+€ Wo @D_ sec IH+64|+c...
5 answers
0/4 points Previous AnswersSEssCalcET2 4.1.048_Find the absolute minimum and absolute maximum values of f on the given interval: f(x) X - In 2x, [z,2absolute minimum2 InaEsolute maximum2 In( 2 )
0/4 points Previous Answers SEssCalcET2 4.1.048_ Find the absolute minimum and absolute maximum values of f on the given interval: f(x) X - In 2x, [z,2 absolute minimum 2 In aEsolute maximum 2 In( 2 )...
5 answers
Using the reaction and data in the table below answer the following series of questionsCH;OH(aq)HCI (aq)CH;CIl (aq)HzO ()Reaction CH;OH conc HCl conc.Initial Rate (M/s)0.100 M0.100 M11*10 2 2.3x 10*2 11*10 ?0.200 M0.100 M0.100 M0.200 Mconc concentrationThe reaction is Select ]order inregards to CH;OH:The reaction is [Select ]order in regards to HCI
Using the reaction and data in the table below answer the following series of questions CH;OH(aq) HCI (aq) CH;CIl (aq) HzO () Reaction CH;OH conc HCl conc. Initial Rate (M/s) 0.100 M 0.100 M 11*10 2 2.3x 10*2 11*10 ? 0.200 M 0.100 M 0.100 M 0.200 M conc concentration The reaction is Select ] order i...

-- 0.060918--