求定积分[tex=10.429x2.786]aANm68//uie5xKBx0suvzH8881U2DLkFNujvd6UzMEAb6RcsjrhZUnHbzDKhCPRP[/tex]的值.

判断以下两个序列是否为周期序列。如果是,请确定周期的数值。[tex=10.429x2.786]hSds8GWmmUIQyIjOBzQE3N+5Q1oLpq2mzkaEIoWYxL43XNwM7hfYhWJk/O20jLx3u1Oiwdp8ZgPNX0i18czXyQ==[/tex]

设A,B,C,D都是n阶矩阵，[tex=8.071x1.286]3HMQ6ctJhg1fepM3G7zc/7Slxp4ogGBYYOtXEpuiO5zKS2eGXg1LAAnjke1gQdau[/tex]。证明：[tex=10.429x2.786]mqOKs44jrJgbK/+3e5yEgd35suHbTJ/ArRQnFQgazM1CofWTePwj4c2Q7spN1d3YIkRB3kHNUmhXYg6zZR8I9bUXlboh2CBD8Utt0krsmsg=[/tex]

设有[tex=4.5x1.357]bDDxcf72WK9XMyWEUSNtff5cG/haZx8L/m6btpYvzv8=[/tex]的置换如下:[tex=10.571x2.786]PliZ5ZRMOQhz0JkWBcx4UffSRTwLbS33DcrOVuRRG8GcZcYFCZvkYxhic+avebfU4sihMkyAkBBnbq6u/hOGiWTAWyRI5Nk8Ih18P8o/OCttGgxN1Zt8MwGIc9H+AZRh[/tex]，[tex=10.429x2.786]2Tj3Dh+BkMrz0d1ADyWeiClJmkhR215K9Q4XqwNuKJExL2npkm5OkJBfzB1hVSA97edB1XNcdlB0pP47Xocc/sy8W/z3nmytlB/0kn841yd0drIhRD0FD9pWYeM55PV8[/tex]，[tex=10.5x2.786]Ec5k5XwIuiIrbZ3FQVdx4wRu1RjEjXNz79ZGOPUli9O/+dFgcVRveLCYJDk+hvk0AORNhgWjwgIYRUP8zjPNuLd9kFavTZYLtcY/4vLEvS2psOlpoHYHXOYHfPrfVUva[/tex]，[tex=10.429x2.786]FQzPgwwAGJwvC59CdNoWCFPlvF+ZDUO3vREpk5olynbDkAi3iXr2lA1T6wzVlQRgwc02qdNgNGJzDOKjw4D+H1J2yL4tC4COe6zNnYQM+4zDwdkjet/jNmV8RNMvRUun[/tex]试求:[tex=12.357x1.429]1HpT7++SyuLoYienW4lAeaMjXvC+bloJsOwMDqxdFICDTSRO9K2rRI+yLIMvec4eM1ujfj2qF0FArtguGho8/wG03EXsU9K20ZNQAYe5H+0gQmj2NOm6BdfHig2hSpM4lP6/54e1dz/b3x5MojLGEArMVyKlRDs4eTKaxeK4j1A=[/tex]，并解方程[tex=6.071x1.214]/x5G4WbLnlWZ0MecptwVxyC1vZnGEfMYtCH64b3X98SkwrFLr7MBVblSnVvUyAAw[/tex]

设有[tex=4.5x1.357]bDDxcf72WK9XMyWEUSNtff5cG/haZx8L/m6btpYvzv8=[/tex]的置换如下:[tex=10.571x2.786]PliZ5ZRMOQhz0JkWBcx4UffSRTwLbS33DcrOVuRRG8GcZcYFCZvkYxhic+avebfU4sihMkyAkBBnbq6u/hOGiWTAWyRI5Nk8Ih18P8o/OCttGgxN1Zt8MwGIc9H+AZRh[/tex]，[tex=10.429x2.786]2Tj3Dh+BkMrz0d1ADyWeiClJmkhR215K9Q4XqwNuKJExL2npkm5OkJBfzB1hVSA97edB1XNcdlB0pP47Xocc/sy8W/z3nmytlB/0kn841yd0drIhRD0FD9pWYeM55PV8[/tex]，[tex=10.5x2.786]Ec5k5XwIuiIrbZ3FQVdx4wRu1RjEjXNz79ZGOPUli9O/+dFgcVRveLCYJDk+hvk0AORNhgWjwgIYRUP8zjPNuLd9kFavTZYLtcY/4vLEvS2psOlpoHYHXOYHfPrfVUva[/tex]，[tex=10.429x2.786]FQzPgwwAGJwvC59CdNoWCFPlvF+ZDUO3vREpk5olynbDkAi3iXr2lA1T6wzVlQRgwc02qdNgNGJzDOKjw4D+H1J2yL4tC4COe6zNnYQM+4zDwdkjet/jNmV8RNMvRUun[/tex]试求:[tex=12.357x1.429]1HpT7++SyuLoYienW4lAeaMjXvC+bloJsOwMDqxdFICDTSRO9K2rRI+yLIMvec4eM1ujfj2qF0FArtguGho8/wG03EXsU9K20ZNQAYe5H+0gQmj2NOm6BdfHig2hSpM4lP6/54e1dz/b3x5MojLGEArMVyKlRDs4eTKaxeK4j1A=[/tex]，并解方程[tex=6.071x1.214]/x5G4WbLnlWZ0MecptwVxyC1vZnGEfMYtCH64b3X98SkwrFLr7MBVblSnVvUyAAw[/tex]

设[tex=7.143x2.786]sSXBpxJWudVpH1R35o4LnFhujUVe8iyjuPFERzIakMkxEVGRi7uUjccZBoMsruUi29Z5lCtJiJ6PRXc6rFwT4Q==[/tex]（28），其中[tex=0.571x0.786]c5VsltFnl9nO0qB/vNKOWA==[/tex]是一个实数。证明：[tex=10.429x2.786]pF276ySEKe9gX1xGL9D29YDFTE7DgQM14qG0DdN4cyxceN6UxPWG3VkQWXL1sfyq2DzYdRmNqvHKuG5JOIV55v0OlbD5HrNwzIlPyOPCh+B8i1yyR6FAjrwb8ng9cDNK[/tex]（29）.

用数学归纳法证明矩阵[tex=8.071x2.786]De166nmeTkb4C/83+ZZH2wiMsV9NrZkt9oBPrwsJHS0YJaK6v3MFx1zSFJMpDF++eLAv3uRFpiEqEhRauQGWD3kCWm8u8+JYGxrlTvWWWYLpjdBc8X+zYQhAUFBj+knxTg78dCOFxXNool31EocRvg==[/tex]的n次幂等于[tex=10.429x2.786]MTPCiEJVfOpkmkf5q9NEj/mHb4h5fbmK/D8ql8PNoHWwA1p3fTjccjTWO/UNpUmNcM5JjBPJ/t/es4sbufZYaCTDc4RpNKipSinrdUfm91sl6hwZY6ghcGMEJzWnRRCSqK5AZgvCFoNIlsgKqtvvyg==[/tex]并用线性变换的看法对此结果作出解释.

蒸气与液相达到平衡. 以[tex=2.0x2.429]h+vDTVzVnYks5oCR4FPCl7FoQmZSf8L1pf+DVoI7+VA=[/tex]表示在维持两相平衡的条件下，蒸气体积随温度的变化率. 试证明蒸气的两相平衡膨胀系数为[tex=10.429x2.786]JtztKyxX/NuJGMNb+RIu2jMTDyxC4h8PzLFVMvYyzMOxx5gwMsoXLHfYsEMKAFWCQcTRKwn4xCJRCgeEj+pqv/FSGjZ/Uf8wVRQldF01Z9k=[/tex]

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}

以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)