Page 95 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI
P. 95

VED1
          E L-LOVELY-H math4-1     IInd  6-8-11     IIIrd  24-1-12     IVth  21-4-12     Vth  20-8-12     VIth 10-9-12






                                                                                      fJekJh^4 L bx[rDe fBy/VB

                                                                                                  B'N
                iK

                iK


                \                                                                                      T[Zso

                                                                  dy
                                  2
                                             2
                T[dkjoD 2H i/eo ax  + 2hxy + by  + 2gx + 2fy + c = 0, sK    gsk eo'.
                                                                  dx
                               2
                                         2
                jZb L fdZsk j?, ax  + 2hxy + by  + 2gx + 2fy + c = 0
                x d/ ;kg/y fBy/VB eoB s/



                iK


                iK


                \                                                                                      T[Zso

                                                       dy     y 2
                                     y
                T[dkjoD 3H i/eo  y= x , sK f;ZX eo' fe  x  =        H
                                                       dx  1  - y logx
                                  y
                jZb L fdZsk j?,  y= x , bx[rDe b?D s/
                                             log y = y log x.
                d'jK gZyK dk x d/ ;kg/y fBy/VB eoB s/






                iK


                fJ; soQK                                                                                T[Zso

                T[dkjoD 4H i/eo sin y = x sin (a + y), sK f;ZX eo' fe
                                                  2
                                           dy   sin ( a + y)
                                                   =
                                           dx     sin  a
                                                     sin y
                jZb L fdZsk j?, sin y = x sin (a + y) iK x =
                                                   sin(a +  ) y
                j[D d'jK gZyK dk x d/ ;kg/y fBy/VB eoB s/



                                            LOVELY PROFESSIONAL UNIVERSITY                                               89
   90   91   92   93   94   95   96   97   98   99   100