5

Find the polar equation of each of the given rectangular equations.$$x=3$$...

Question

Find the polar equation of each of the given rectangular equations.$$x=3$$

Find the polar equation of each of the given rectangular equations. $$x=3$$



Answers

Rectangular Equations to Polar Equations Convert the equation to polar form.
$x=4$

This is problem 52 section 8.1 and we're tasked with finding this polar equation into rectangular coordinates on DSO. If you remember, the equation R squared equals at squared plus y squared we're actually gonna plug in, are here to find the wrecking the equation so R squared. So this is gonna be negative. Three squared is equal to x squared plus y squared and we'll go ahead and square that. So that's gonna be nine is equal to X squared plus y squared. And so now we've converted our polar equation and directing you like hornets.

So this is problem 60 section 8.1 on were asked to convert the polar equation here into rectangular coordinates. And so the first thing we'll do is we'll go ahead and distribute the three. So our is equal to, um three minus three. Sign data on we're gonna multiply both sides by R to make things a little bit easier for us. So multiply are multiplied by our and so this is gonna be our squared is equal to three are minus three r sine data on. And if you remember the equation, why is equal to our sign of feta? Um, we can actually substitute that here. So this is gonna be, uh, sorry. R squared sequel to three are minus three. Why? Um, and then we're gonna go ahead and use. The equations are squared, equals X squared, plus y squared. And so the reason why we're doing that. Israel, go ahead and set this side ableto x squared. Plus y squared is equal to three are minus three. Why? And now we can add three wine, both sides. And so then we're going to get X squared plus y squared. Plus three. Why is equal to three are and we're going to go ahead and square. Both sides squared, squared, and so this is going to be equal to X squared plus y squared plus three. Why square is equal to nine r squared. Um, and we can go ahead and use this equation here once more. This equation here to plug in for R squared so would get X squared plus y squared plus three. One square is equal to nine times x squared plus y squared. And so we went ahead and converted our polar equation in directing their coordinates.

Hey, this problem wants us to convert X equals three the, um, Cartesian equation to a polar one. And so I wrote this equation. Read that X equals arc. Oh, Sang Dita. Um and so all we have to do is plug that in. So since we do this, we say X is our co sign. Data is equal to three. Okay. And now, to get a polar equation we just saw for her. So I'm gonna divide coastline data from each side grain that it turns to a one. And so I get are equals three over coastline data, okay. And so you can leave it like that, or you can recognize that that's the same is three times one over coastline data and then Kwan over coastline data is really just the sea can write. It's the reciprocal. And so I can write that as three as this is three c camp data, okay. And that's almost prefer it. They don't like fractions if you don't have to have them. So I just rewrote it as c can't. But it is the same as that one right there. And that's how you do. It came

For this question, we have X is equal to zero. And why is equal to negative square root of three Find the radius we have really squared is equal to X squared plus y squared x zero. In this case, why's negative? Radical? Three. So are our square is equal to the positive three. And because we want a radiant ladies to be positive, it's gonna be the positive radical. Three. As for the angle, I know that wise equals R 10 to sign of data. So our sign of data, that's why divided by R, which is just negative, radical three over radical three, which is just equal to negative one so that our data okay, it's gonna be equal to the AARP sign one which it's just gonna be three by half. So her pork are points. Dependable importance is equal to our religious three. They're angle just 35 That's your answer


Similar Solved Questions

5 answers
Write the product a5 sum_13 sinicosi
Write the product a5 sum_ 13 sini cosi...
5 answers
Ray optics A ray of light is incident as shown from air (n-1) onto transparent slab whose index of refraction is n-1.3, The slab has thickness of 0 1m Show the DIRECTION of the emerging ray300300
Ray optics A ray of light is incident as shown from air (n-1) onto transparent slab whose index of refraction is n-1.3, The slab has thickness of 0 1m Show the DIRECTION of the emerging ray 300 300...
5 answers
Find the pH of the equivalence point(s) and the volume (mL) of 0.0372 M NaOH needed t0 reach the point(s) in titrations of 42.2 mL of 0.0520 M CH;C COOH(b) 28.9 mL of 0.0850 MHzSO3 (two equivalence points)
Find the pH of the equivalence point(s) and the volume (mL) of 0.0372 M NaOH needed t0 reach the point(s) in titrations of 42.2 mL of 0.0520 M CH;C COOH (b) 28.9 mL of 0.0850 MHzSO3 (two equivalence points)...
5 answers
(15 points) Evaluate the integralJaB(: - a) Im(z?) dz,where AB is the line segment between points zA = 0 and zB = 1+i
(15 points) Evaluate the integral JaB(: - a) Im(z?) dz, where AB is the line segment between points zA = 0 and zB = 1+i...
5 answers
Question 12 (Second-order linear constant-coefficient differential equations by variation of parameters). Consider the differential equation y" Ce (1) Find the complementary functions yc:(2) Find the general solutions.
Question 12 (Second-order linear constant-coefficient differential equations by variation of parameters). Consider the differential equation y" Ce (1) Find the complementary functions yc: (2) Find the general solutions....
5 answers
Use a comparison to show that $int_{e}^{+infty} frac{ln x}{x} d x$ diverges.
Use a comparison to show that $int_{e}^{+infty} frac{ln x}{x} d x$ diverges....
4 answers
8 | 5 L 2 X 43 F # 5 R/? 2 0 1 82 8 [ [
8 | 5 L 2 X 43 F # 5 R/? 2 0 1 8 2 8 [ [...
5 answers
MinoES-npoinuiDETAILSteenn EsoouaarlFonlLn mctNen Holn?MYNOTESKnPoinulDetALSol Z0envnduetanca Lclecnthva Elpra charaia14o Em Lut @fLltna ealtal >9Uyhunaara 08mHord Hud0-72 Potnts] DLALSMY NOTESAnunoeaduedato ta atnlionMeou Holo?
MinoES -npoinui DETAILS teenn Esoouaarl Fonl Ln mct Nen Holn? MYNOTES KnPoinul DetALS ol Z0envn duetanca Lclecnthva Elpra charaia 14o Em Lut @f Lltna ealtal >9Uyhunaara 08m Hord Hud 0-72 Potnts] DLALS MY NOTES Anunoe adueda to ta atnlion Meou Holo?...
5 answers
2. [10 points] Find the LU decomposition of the given matrix: -3 ~9 20
2. [10 points] Find the LU decomposition of the given matrix: -3 ~9 20...
3 answers
Let {N():+20} Iv Pois) proress wirh intensity A > ( Find P(N() =m For r 2 0 aud + 2 (. culculute P(V(+r) - N() =W. (3) Find P(Y () > #) where Y (() is the excees nt + (4) Fiud P(A(t) > r) for 0 < r < t. wlere A(t) + the nge at
Let {N():+20} Iv Pois) proress wirh intensity A > ( Find P(N() =m For r 2 0 aud + 2 (. culculute P(V(+r) - N() =W. (3) Find P(Y () > #) where Y (() is the excees nt + (4) Fiud P(A(t) > r) for 0 < r < t. wlere A(t) + the nge at...
1 answers
Expand $f(x)$ in powers of $x,$ basing your calculations on the geomctric series $$\frac{1}{1-x}=1+x+x^{2}+\cdots+x^{n}+\cdots$$ $$f(x)=\frac{1}{(1-x)^{2}}$$
Expand $f(x)$ in powers of $x,$ basing your calculations on the geomctric series $$\frac{1}{1-x}=1+x+x^{2}+\cdots+x^{n}+\cdots$$ $$f(x)=\frac{1}{(1-x)^{2}}$$...
5 answers
Gilve the IUPAC name for this coordination compound[Cr(CO);CIJBIzAnswer BankbromicechkwidocILLecxuylcarbonylchromium'[M [1Ichlorine
Gilve the IUPAC name for this coordination compound [Cr(CO);CIJBIz Answer Bank bromice chkwido cILLe cxuyl carbonyl chromium ' [M [1I chlorine...
4 answers
Find the first, second, and third quartiles of the data.$$12,30,19,15,18,22$$
Find the first, second, and third quartiles of the data. $$12,30,19,15,18,22$$...
5 answers
Carbohydrates generally have a molecular.5 * formula (ab 1)that includes at least one hydrocarbon tailthat includes a ~SH groupin which carbon; hydrogen, and oxygen are present in a ratio of 1.2:1in which carbon, hydrogen, and oxygen are present in a 2:1.2 ratio
Carbohydrates generally have a molecular.5 * formula (ab 1) that includes at least one hydrocarbon tail that includes a ~SH group in which carbon; hydrogen, and oxygen are present in a ratio of 1.2:1 in which carbon, hydrogen, and oxygen are present in a 2:1.2 ratio...
5 answers
Classify each statement as true or false.$h$ is in $S$.
Classify each statement as true or false. $h$ is in $S$....
5 answers
Suppbse and are di Ffcrenhabie Functions 9 Such +at FCy) {L '4 944)=-5 and 9'L4) =2 _ Fnd h' L4) wncn nex)
Suppbse and are di Ffcrenhabie Functions 9 Such +at FCy) {L '4 944)=-5 and 9'L4) =2 _ Fnd h' L4) wncn nex)...
5 answers
Find the Partial = fraction decomposition for the rational expression. Write the expression with variables of your choicc, then solve for the variables of your expression. Remember,you are not solving for "x" in these problems: (12 points)1)( 3)(x2
Find the Partial = fraction decomposition for the rational expression. Write the expression with variables of your choicc, then solve for the variables of your expression. Remember,you are not solving for "x" in these problems: (12 points) 1)( 3)(x2...
5 answers
Question 5M HCI witb a 1.25 25.0-mL sample ofa 2.14 M NaOH solution is titrated bas been NaOH solution. What will be the final volume of solution when the exaclly peutralized by the HCI?42.8 mLTM{{ ;3" p40>0 4 XMiunes0u "iniyq Sa {sviro? uffm ({qNole' O tiest' /S cotreel6$ m67.8 mLJuSoiaeto
Question 5 M HCI witb a 1.25 25.0-mL sample ofa 2.14 M NaOH solution is titrated bas been NaOH solution. What will be the final volume of solution when the exaclly peutralized by the HCI? 42.8 mL TM{{ ;3" p4 0>0 4 XMiunes0u "iniyq Sa {sviro? uffm ({q Nole' O tiest' /S cotreel ...

-- 0.018919--