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1.  Acceleration of the electron in the time variable electrostatic field is described by the function:
    3t^4+80t^3+602t^2+1222t-744
   ---------------------------------.
    t^5+18t^4+95t^3+84t^2-180t+864
   Determine the dependence of the velocity on the time and the change of the velocity in the time
   interval from 0 to 0.5 of the second.

2. Determine the price of zinc, copper, magnesium, iron, nickel, cobalt, tin and aluminium 
   from the following conditions:
 -  purchase: 9 kg Mg,8 kg Fe,sale: 9 kg Zn,2 kg Cu,5 kg Ni,1 kg Co,3 kg Sn,4 kg Al,
   profit: 46 dollars,
 -  purchase: 7 kg Zn,7 kg Cu,3 kg Mg,7 kg Ni,8 kg Sn,5 kg Al,sale: 5 kg Fe,9 kg Co,
   payment: 55 dollars,
 -  purchase: 3 kg Zn,4 kg Cu,3 kg Fe,sale: 5 kg Mg,2 kg Ni,3 kg Co,4 kg Sn,6 kg Al,
   profit: 54 dollars,
 -  purchase: 9 kg Ni,4 kg Co,3 kg Al,sale: 3 kg Zn,5 kg Cu,1 kg Mg,4 kg Fe,6 kg Sn,
   payment: 9 dollars,
 -  purchase: 8 kg Cu,5 kg Mg,2 kg Fe,4 kg Ni,3 kg Co,sale: 9 kg Zn,4 kg Sn,6 kg Al,
   payment: 72 dollars,
 -  purchase: 5 kg Zn,5 kg Mg,1 kg Fe,sale: 9 kg Cu,9 kg Ni,1 kg Co,5 kg Sn,7 kg Al,
   profit: 151 dollars,
 -  purchase: 8 kg Cu,5 kg Fe,3 kg Co,5 kg Al,sale: 5 kg Zn,6 kg Mg,4 kg Ni,1 kg Sn,
   payment: 81 dollars,
 -  purchase: 6 kg Zn,6 kg Mg,sale: 2 kg Cu,1 kg Fe,6 kg Ni,6 kg Co,7 kg Sn,3 kg Al,
   profit: 159 dollars,


3. Calculate the surface of the foil which must be covered by ferric chloride
   if its boundary is described as follows:
   y*y = 6x; x = 0; 2x+y-18 = 0.
   Plot the foil.

4. The trajectory of the first mass point is described by the first equation, the trajectory
   of the second mass point is described by the second equation. Plot both the trajectories
   and find out if the trajectories can cross.
   Determine all the characteristic elements of both the curves.
   25x*x+81y*y+250x-162y-1319 = 0
   64x*x-y*y+384x+18y+431 = 0

5. The surface on which we have to place the test sample is described by the equation:
  -3x+4y+7z+5 = 0
   Plot and name correctly this surface, determine its basic
   characteristic elements.