当两种商品 X、Y 的效用函数为 XY 时，下列哪一个效用函数代表了相同的偏好序？ 未知类型：{'options': ['[tex=10.071x1.357]OK30+P6hfM7Zu6gUdRbxnrWPNWdxOsSViL9h9isp/RI=[/tex]', '[tex=10.071x1.357]ItSOQNKeMa377d8Ivjj3Rxq84gVnbqx0srr/LdH3rcM=[/tex]', '[tex=9.5x1.357]2MZEcWnIzqf06dPudhu8i/EzLR5y/iNnPSqZMS71NOE=[/tex]', '[tex=10.071x1.357]OK30+P6hfM7Zu6gUdRbxnpR1bKcejSzZu5ThwJ+QYtg=[/tex]'], 'type': 102}

循环流量图[tex=10.071x1.357]yX6wcMVvXkqat5lN3u8Se5nlgyiPsrMzw0klqXsqL20=[/tex]

求下列微分方程的解：[tex=10.071x1.357]t4As15ouBvmnKrig8jytQPRfdVlnM35HqS/yLD0cvTU=[/tex]

证明：[tex=2.5x1.0]OW24FqoUnkWHehDiDAp7og==[/tex]是前提 [tex=10.071x1.357]nCJ0dCvF3TKwyFtXD5g1JwUUrbAYMSJEJN62Q+nAbiIVQq/yyJ/ZyJIMoBpP86NrG4iXmACy84QwLP5VMJSedg==[/tex]的结论

求下列函数的傅里叶级数展开式：[tex=10.071x1.357]5cM/LvJqoCikO7A5c+WCIFvkMrcH8wM/sSdNFcbb5l7CiIY7PXE8owHe7h0e7UQ9[/tex]

设 [tex=2.143x1.429]+wS5Fh3I5FHTqEONA2uEeA==[/tex]存在, [tex=10.071x1.357]0K8zT6RlQ+kY4C+YTtq8SG0lZlsfyqqlXWn+dNHJVSjzMBnv45SiwvW7HMdxfDozRPKLO70O7E66FzQD805VHg==[/tex], 求[tex=2.143x1.429]mzwRhuDvrCMocO2CEffeaJzsyOyV9IHxECuGvFss+GU=[/tex].

设 [tex=26.0x2.786]+HNIZcMaSzNwCe0LO7bsUtE7T/ezT3heRoWANqpeD09js6VQYEtczxav5OFRQXJU0uulV5NJvKfQ6rL/g2T2hk15exqEopZz6UbC/pu/t8mziJ0Se/9T+xNnXWwQsShOCzBQHQQ5CSX5WW5xBdoipslMLc3MfEyl3RqlLO7btbU8NT3zDea1R5WozCugAV2Wnx4kJQoscuKG1il0vNB+0E4bZVdvLO7ELwD7bJUyTCbgKuCCXewL4sMiQMoW6WmloUHdwrxAr6iA0hjy8VVHNz527S21DenwX4rUBzhopT1WEvE4AjTtTu+u9X0JZg4E[/tex]求 [tex=10.071x1.357]7fk4PDAIPUAv1IgmkEs0SQ/UZtPjPog3vrg2N+fTizIgbzLfW3iRLzkyDtU6wQkdXD9bBnLPLhX6p5NOdX9LpfgJm005nV1GsRTcaQoHSBk/8sryGhYGQA6CAoC0l9LS[/tex]

设 [tex=26.0x2.786]+HNIZcMaSzNwCe0LO7bsUtE7T/ezT3heRoWANqpeD09js6VQYEtczxav5OFRQXJU0uulV5NJvKfQ6rL/g2T2hk15exqEopZz6UbC/pu/t8mziJ0Se/9T+xNnXWwQsShOCzBQHQQ5CSX5WW5xBdoipslMLc3MfEyl3RqlLO7btbU8NT3zDea1R5WozCugAV2Wnx4kJQoscuKG1il0vNB+0E4bZVdvLO7ELwD7bJUyTCbgKuCCXewL4sMiQMoW6WmloUHdwrxAr6iA0hjy8VVHNz527S21DenwX4rUBzhopT1WEvE4AjTtTu+u9X0JZg4E[/tex]求 [tex=10.071x1.357]7fk4PDAIPUAv1IgmkEs0SQ/UZtPjPog3vrg2N+fTizIgbzLfW3iRLzkyDtU6wQkdXD9bBnLPLhX6p5NOdX9LpfgJm005nV1GsRTcaQoHSBk/8sryGhYGQA6CAoC0l9LS[/tex]

用迭代的方法解以下递归式,并用数学归纳法证明你的结论:[tex=10.071x1.357]eFu/ZoOK+3tq8OpaGTvUHhwpdaQjfMhJZn3NFfHm0S8=[/tex]

就商品[tex=0.857x1.0]1C2kPydxTXlvgF7dYH2XWA==[/tex]、[tex=0.643x1.0]jDX0Dl5U1AUsM496NyCmSw==[/tex]的偏好次序来讲，下列效用函数中哪一个与效用函数[tex=5.929x1.357]+l0kOdtFMYqLDo/EGFncEe4jhw/vFyUwKFBvTUQFLJw=[/tex]相等?   未知类型：{'options': ['[tex=10.071x1.357]H4pNspe+5yA1+hBZGFZgj0ra5xOIR8LQw+vsKV37638=[/tex]', '[tex=9.5x1.357]uuiZUZEgWhGhs/Pbhl9HVybKRDPiB+pnj5CKdsSQ9gg=[/tex]', '[tex=10.071x1.357]Lngfb2U5iaMNsYaqfcclC/Uczdzlk5NBcKQ160WbUzQ=[/tex]', '以上三者都正确'], 'type': 102}