Matematika III, Tischer 12.2.1999

1.
    odm(2)    y
      /       /
     I       I    f dx dy
    /       /
     1      2

2.
 Objem=?  z=1/2(x*x+y+y) a z=x

[pi/4]

3.Teziste
M={(x,y,z) | x*x+y*y+z*z=a*a, x>=0, y>=0, z<=0}
ro=1

[a/2,a/2,-a/2]

4. Green:
x=2t+sin 2t
y=sin t
a osa x

[8/3]

5.
  .
  x1=8x1+2x2
  .
  x2=6x1+4x2+4

[x=C1(1, 1)e10t + C2?(1, -3)e2t + (2/5, -8/5)]