XPost: sci.math, sci.math.symbolic   
   From: thefatphil_demunged@yahoo.co.uk   
      
   mmasroorali@cse.buet.ac.bd (Dr. Muhammad Masroor Ali) writes:   
      
   > Hello All,   
   > I am rather stuck with some quadratic equation and thought that you   
   > could help.   
   >   
   > I have four quadratic equations of the form,   
   > y = a x^2 + bx + c, where 0 <= x <= 1.   
   >   
   > I need to find the maximum and minimum values of y (from four values)   
   > for each point in the range of x ([0.0,1.0]). I know that I can plot   
   > the equations and find the result visually. But is there a way of   
   > solving this analytically?   
   >   
   > The situation is further complicated by the fact that not a single   
   > equation gives the min (max) value in that range, the lines do   
   > intersect and the equation giving min (max) do change.   
   >   
   > Any suggestion will be highly appreciated.   
      
   Complete the square. That'll tell you where the global max/min are,   
   and what they are. If each one isn't in the 0<=x<=1 range, then the   
   extrema will be at x=0 and x=1.   
      
   Phil   
   --   
   The gun is good. The penis is evil... Go forth and kill.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)