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Questol 2Write the equation in polar coordinates7+0 7280 7 =1207590,=102200...

Question

Questol 2Write the equation in polar coordinates7+0 7280 7 =1207590,=102200

Questol 2 Write the equation in polar coordinates 7+ 0 728 0 7 =12 0759 0,=10 2200



Answers

Write the equation in polar coordinates. $$\left(x^{2}+y^{2}\right)^{2}=2 x y$$

In this problem we have to write the given equation X squared minus Y squared is equal to four in polar coordinates. We have the relations X. Is equal to our coast rita and Y is equal to r. Sine theta. In the given equation, we will write our coast tita in place of eggs so we can write our casita square minus in place of why we will write our scientific data. So our scientist a square. This is equal to four. That this I cost heat a square-. Our scientific a square is equal to four. This is equal to our square. Cause square tita minus. Ask where sine squared Theta Is equal to four. We can take our square comment from both the terms. So we get our square and in the bracket cause square tita minus sine squared. Theta Is equal to four. Now we know that cause creditor minus signs. Creditor is cause to feta. So this becomes our square, cause to tita Is equal to four. Does the given equation? Can we return in the polar coordinators are square cost two. Theta is equal to four.

In this problem, we have to write the given equation X square. This y minus two brackets square is equal to fall in polar coordinates. We have the equations, X is equal to our casita and bicycle to our sent data. We will use these two equations in the given equation. The given the question is x squared Plus Y -2 Brackets Square is equal to fall. This is our given equation. So this is equal to X square plus Y -2 Brackets Square is Vice Square -4, Y plus four And this is equal to four. This four can be canceled with this. For so now we have X square plus by square minus four by is equal to zero, X squared plus Y squared minus four. Y is equal to zero as X is equal to our coast rita. We will write our cost data in place of eggs. So X square will be our square or square data as why is equal to our center to we can write our center to in place of. Why? So why square will be R squared sine squared data -4 in place of. Why? We will write our Santa. This is equal to zero. Our square cost squared theta plus our square. Sine squared. Theta minus four are santa is zero. We can take our square comment from both distance. So now we have our square and in the bracket we have. Cause quarter to plus sine squared theta -4. Our scientific data Is equal to zero. We know that. Cause question to plus sine squared theta is equal to one. So we have our squaring to one that these are squared -4. Our scientific to Is equal to zero. R squared minus four. Our scientists to is equal to zero, dividing both sides by our we get R -4 scientific to It's equal to zero debated by our that zero. We have divided both sides by us, R -4. Santa is equal to zero, and finally we have our is equal to four scientific to. So the given equation can be written in polar coordinates, says R is equal to four sign data.

In this problem, we have to write the given equation X minus a bracket, square plus y squared is equal to a square in polar coordinates. We know that X is equal to our caustic to and why is equal to our scientific data? We will use these two equations in the given equation. The given the question is x minus a. On the whole square, let's buy square is equal to is good. Oh this is equal to x square minus two. X plus a square plus by square is equal to is good. Now this is square can be canceled with this a square. So be here X square minus two X plus. Why square Is equal to zero. S. X. Is equal to our coast rita. We will write our casita in place of X. So X square will be our square or square data minus to a in place of X. We will write our cost A to plus as Y is equal to our scientific to. We will write our scientific to in place of Why? So why squares will be our square sine squared data? This is equal to zero. Now we can take our square carbon from these two tongues. So we get are square in the record cost 30 to plus sine square tita, right are square. In the break. It cost square to to the sine squared. Theta minus to a R. Kostunica. This is equal to zero. Now we know that cost 30 to plus sine squared theta is equal to one. So we get our squaring to one that these are squared minus to a R Kosti to Is equal to zero. R squared minus two. A are costly to is equal to zero, Dividing by our we get our -2. A casita Is equal to zero, divided by are the zero. We have divided both sides by our so we get our minus to a cost. Theta is equal to zero, and finally we killed R is equal to a cause tita. Yeah, So the given equation can be written in polar coordinates. S. R. is equal to two a cost data.

In this problem we have to write the given equation, X squared plus Y squared. On the whole square is equal to x squared minus y square. In polar coordinates we have the equations, X is equal to our coast rita and Y is equal to our saint rita. We will use these two equations in the given equation in place of X. We can write our cost three to so X square will be are square or square tita plus in place of why we can write our scientific data. So why square will be r squared sine square theater on the whole square. This is equal to x square that this are square. Cause square tita minus by square that this are square. Sine squared theta. So we have the equation are square or square. Theta plus our square. Sine squared. Theta on the whole square is equal to our square cost square three to minus are square Sine squared. Theta. We can take our square comin from both victims. So we have our square. And in the bracket we have cost square tita plus sine squared theta. Mhm. On the whole square. Mhm. This is equal to again, we can take our square comment from both the terms so are square and inter bracket. We have cost square tita minus sine squared theta. Mhm. So we have our square cost creditable assigned square theater. On the whole square is equal to our square square three to minus sine square theater. We know dad Cause quickly topless science critic that is equal to one. So we have Our square square that these are raised to four. This is equal to r squared cause quick little minus sine squared. Theta is equal to cause to rita. So cause to rita that is via the equation are is to fall is equal to our square. Cause to rita dividing both sides by our square. We get our square is equal to cause to tita. Thanks. So the given equation can be written in polar coordinates. S. R. Square is equal to cost 2 3 to.


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