![quist +9 = T](https://latex.codecogs.com/gif.latex?r%3D%5Cfrac%7B3%7D%7B6+4sin%5Ctheta%7D)
![6r + 4rsind = 3](https://latex.codecogs.com/gif.latex?6r+4rsin%5Ctheta%3D3)
![6r = 3 - 4rsino](https://latex.codecogs.com/gif.latex?6r%3D3-4rsin%5Ctheta)
![36r2 = (3 - 4rsino)](https://latex.codecogs.com/gif.latex?36r%5E2%3D%283-4rsin%5Ctheta%29%5E2)
convert to cartesian form
![r=rcos](https://latex.codecogs.com/gif.latex?x%3Drcos%5Ctheta)
![y=rsino](https://latex.codecogs.com/gif.latex?y%3Drsin%5Ctheta)
![2 + y = r(sine + coso) = ?](https://latex.codecogs.com/gif.latex?x%5E2+y%5E2%3Dr%5E2%28sin%5E2%5Ctheta+cos%5E2%5Ctheta%29%3Dr%5E2)
put these in polar equation
![36(2 + y) = (3 – 4y)](https://latex.codecogs.com/gif.latex?36%28x%5E2+y%5E2%29%3D%283-4y%29%5E2)
![36.22 + 2) = 9+ 16g - 24](https://latex.codecogs.com/gif.latex?36%28x%5E2+y%5E2%29%3D9+16y%5E2-24y)
![36.2% + 20y2 + 24y - 9=0](https://latex.codecogs.com/gif.latex?36x%5E2+20y%5E2+24y-9%3D0)
![36x^2+20(y^2+\frac{6}{5}y)-9=0](https://latex.codecogs.com/gif.latex?36x%5E2+20%28y%5E2+%5Cfrac%7B6%7D%7B5%7Dy%29-9%3D0)
![36x2 + 202 + = |ا نت | اے يت |ا - 9 = 0](https://latex.codecogs.com/gif.latex?36x%5E2+20%28y%5E2+%5Cfrac%7B6%7D%7B5%7Dy+%28%7B%5Cfrac%7B3%7D%7B5%7D%7D%29%5E2-%28%7B%5Cfrac%7B3%7D%7B5%7D%7D%29%5E2%29-9%3D0)
![+ )20 + 36x2 36x2 + 20 ( ( + تن |۱ 0 = 9 - ی) - 9 = 0](https://latex.codecogs.com/gif.latex?36x%5E2+20%28%28y+%7B%5Cfrac%7B3%7D%7B5%7D%7D%29%5E2-%28%7B%5Cfrac%7B9%7D%7B25%7D%7D%29-9%3D0)
![36x^2+20((y+{\frac{3}{5}})^2={\frac{9*26}{25}}](https://latex.codecogs.com/gif.latex?36x%5E2+20%28%28y+%7B%5Cfrac%7B3%7D%7B5%7D%7D%29%5E2%3D%7B%5Cfrac%7B9*26%7D%7B25%7D%7D)
![36x^2+20((y+{\frac{3}{5}})^2={\frac{234}{25}}](https://latex.codecogs.com/gif.latex?36x%5E2+20%28%28y+%7B%5Cfrac%7B3%7D%7B5%7D%7D%29%5E2%3D%7B%5Cfrac%7B234%7D%7B25%7D%7D)
![\frac{x^2}{\frac{234}{26*36}}+\frac{(y+{\frac{3}{5}})^2}{\frac{234}{500}}=1](https://latex.codecogs.com/gif.latex?%5Cfrac%7Bx%5E2%7D%7B%5Cfrac%7B234%7D%7B26*36%7D%7D+%5Cfrac%7B%28y+%7B%5Cfrac%7B3%7D%7B5%7D%7D%29%5E2%7D%7B%5Cfrac%7B234%7D%7B500%7D%7D%3D1)
![\frac{x^2}{0.25}+\frac{(y+{\frac{3}{5}})^2}{0.468}=1](https://latex.codecogs.com/gif.latex?%5Cfrac%7Bx%5E2%7D%7B0.25%7D+%5Cfrac%7B%28y+%7B%5Cfrac%7B3%7D%7B5%7D%7D%29%5E2%7D%7B0.468%7D%3D1)
this is ellipse with major axis parallel to y axis
intercepts
major axes vertices 0,0.3 and 0,-1.5
![\\c^2=0.468-0.25=0.218\\c=0.4669](https://latex.codecogs.com/gif.latex?%5C%5Cc%5E2%3D0.468-0.25%3D0.218%5C%5Cc%3D0.4669)
foci are ![(0,-0.6\pm0.4669)](https://latex.codecogs.com/gif.latex?%280%2C-0.6%5Cpm0.4669%29)
![(0,-1.0669),(0,-0.1331)](https://latex.codecogs.com/gif.latex?%280%2C-1.0669%29%2C%280%2C-0.1331%29)
![-0.4(0.0.3) 9.00 -1 -0.9 -0.8 -0.7 -0.6 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 0.5 -0.4 -0.3 -0.2 -0.1 0 --0:17 Q -0:3 -0.4 -0.5 --0](//img.homeworklib.com/questions/7540c520-c020-11ea-9457-c560e388c7c7.png?x-oss-process=image/resize,w_560)
quist +9 = T
6r + 4rsind = 3
6r = 3 - 4rsino
36r2 = (3 - 4rsino)
r=rcos
y=rsino
2 + y = r(sine + coso) = ?
36(2 + y) = (3 – 4y)
36.22 + 2) = 9+ 16g - 24
36.2% + 20y2 + 24y - 9=0
We were unable to transcribe this image
36x2 + 202 + = |ا نت | اے يت |ا - 9 = 0
+ )20 + 36x2 36x2 + 20 ( ( + تن |۱ 0 = 9 - ی) - 9 = 0
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
-0.4(0.0.3) 9.00 -1 -0.9 -0.8 -0.7 -0.6 0.1 0.2 0.3 0.4 0.6 0.7 0.8 0.9 0.5 -0.4 -0.3 -0.2 -0.1 0 --0:17 Q -0:3 -0.4 -0.5 --0:6 -0.7 -0:84 -1-1 i (0, -1.5)