Matyka IIIa, KOHOUT 19.1.98
1,
 Int. F ds, x^2+y^2+z^2=4, x=y, y=>0, z=>0, 
      F=(y-z,z-x,x^2+y^2) 
      poc bod. z=0, konc. bod na ose z
2,
 Int ((y^3-e^z+x^3)dydz+(z^2-arctgx^2+y^3)dzdx+(x^2+z^3)dxdy
 podle plochy: x^2+y^2+z^2=z, orient. vnejsi norm.

3,

 ((15x-3y+A)/(5x-y),(10x-2y-1)/(5x-y)), pro ktere A je pole potenc.
 najdete potencial v, aby v(0,1)=6

4,
 najdete fund. sys.
 x'= x+y
 y'=-x+3y

 najdete laplac. obraz X
 x'= x+ y+1
 y'=-x+3y+3
 x(0)=y(0)=0