Parabola
o rany julek:
Która z poniższych krzywych to parabola?
a) x2 + 2xy +y2−2x −2y +1 = 0
b)9x2 +24xy +16y2+125y =0
c)x2 +xy +y2 − 3x − 3y = 0
3 mar 10:29
sd:
b)
3 mar 10:30
hanecka,pudel i pipel:
f(x;y)=ax2 + 2bxy +cy2 + 2dx + 2ey
f'x=2ax+2by+2d=0⇔ax+by=−d
f'y=2bx+2cy+2e=0⇔bx+cy=−e
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a)2x+2y=1
2x+2y=1→0=0
b)9x+12y=0
12x+16y=0→0=−62.5→parabola
c)2x+0.5y=1.5
0.5x+2y=1.5→x=0.6,y=0.6
3 mar 10:49