Matematika 3, Prucha, 02.02.99

1. AII y dxdy, situaci nacrtnete
kde A={(x,y); (x^2 + y^2) <=2y, |x| <=y }
 [pi/2+4/3]

2. AIII (1+2yz) dxdydz, situaci nacrtnete
A={(x,y,z), x+y <=1, y-x <=1, z+x^2 <=1, y >=0, z >=0 }
 [71/70]

3. CI sqrt(y) ds, situaci nacrtnete
C={(x,y); y= x^2, -1 <=x<= 2 }
 [ ]

4. Reste odhadem
y'' + 2y' + 5y = 4sin2x      y(0)=y'(0)=0
 [C1=16/17, C2=4/17]

5. Gaussova veta & transformace integralu do sferickych souradnic