Matematika 3, Prucha, 20.01.99

1. II y/x dxdy
A={(x,y), 0 <= x, 0 <= y, y <= x, x^2y <= 1}

2. III x^2zdxdydz
A={(x,y,z), x^2 + y^2 <= 1+z^2, -1 <= z <= 2, y >= 0}

3. II xz dS
B={(x,y,z); z=1-x^2, |y| <= 1, -1 <= x <= 2}

4. Reste odhadem
  y'' + 4y' + 5y = 3e^(-2x) + 5sinx

  y(0)=y'(0)=0

5. Gaussova veta & exponencialni matice