Page 215 - Schaum's Outline of Theory and Problems of Advanced Calculus
P. 215

206                   APPLICATIONS OF PARTIAL DERIVATIVES                  [CHAP. 8


                                                                  2
                                                                            2
                                                                       2
                          [Hint: For (a)use the fact that the quadratic form A  þ B  þ C
 þ 2D   þ 2E 
 þ 2F 
 > 0 (i.e., is
                          positive definite)if

                                                                       A  D
                                                                            F
                                                         A  D

                                                A > 0;           > 0;     D  B  E > 0

                                                         D  B

                                                                       F  E  C
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