04-13-2011, 04:25 PM
Question # 2
4x2+4y2+16y-4x=19
4x2+4y2+2(-2)x+2(4y)-19=0
g = -2
f = +8
c = -19
r = f 2 + g2 - c
= (- 2)2 + 82 ( 19)
= 4 + 64 + 19
= 87
- -
Radius = 87
Center = (-2, 8)
Question # 3
x
≥ − 2
8 − x
⇒ x ≥ −2 (8− x)
⇒ x ≥ − 16 + 2x
⇒ x − 2x ≥ − 16
⇒− x ≥ − 16
⇒ x ≤16
⇒{ x x∈R x ≤16}
4x2+4y2+16y-4x=19
4x2+4y2+2(-2)x+2(4y)-19=0
g = -2
f = +8
c = -19
r = f 2 + g2 - c
= (- 2)2 + 82 ( 19)
= 4 + 64 + 19
= 87
- -
Radius = 87
Center = (-2, 8)
Question # 3
x
≥ − 2
8 − x
⇒ x ≥ −2 (8− x)
⇒ x ≥ − 16 + 2x
⇒ x − 2x ≥ − 16
⇒− x ≥ − 16
⇒ x ≤16
⇒{ x x∈R x ≤16}