Question

PLEASE HELP 20 POINTS SHOW ALL WORK

Answer 1

Answer:

Steps below

Step-by-step explanation:

8) x = y²/2           2rcosΘ = r²sin²Θ      2cosΘ = rsin²Θ

   r = 2cosΘ/sin²Θ = 2cotΘcscΘ

9) (x+2)²+y²=4     y= rsinΘ     x=rcosΘ

   (rcosΘ+2)²+y²sin²Θ = 4

   r²cos²Θ+4rcosΘ+4+y²sin²Θ=4

   r²(sin²Θ+cos²Θ)+4rcosΘ=0

   r²+4rcosΘ=0            r+4cosΘ=0

   r = - 4cosΘ

10) r = 2sinΘ         r=2* y/r           r²=2y       x²+y²=2y

     x² + (y²-2y+4) = 4          x²+(y-2)² = 4

11) r = 3tanΘsecΘ = 3* (y/x) * (r/x)

   1 =3y/x²

   x² = 3y        3y = x²