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  1. or download this
    $A = ($a*($p1-$p2) + $b*($pT-$p1)/(-2));
    $B = ($p1*($a*($p2-$p1) + $b*($pT-$p1)-$k*$d2-$d1i*$k));
    
  2. or download this
     $A = -0.5*$b*($pT-$p1);
     $B = $b*($pT-$p1)-$k*($d2-$d1i);
    
  3. or download this
    $p2 = $p1; 
    $p1 += .01;