Question

PLEASE HELP 20 POINTS

SHOW ALL WORK

Answer 1

Steps below

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