求定积分: [tex=5.929x2.786]M3yUffPLfdD/IU1tfcgDu2D9F8yVVES+zmfEl7NP+JIgbN1JHOjd+z4valQu2+ATBZECqHKCFhW3brnhTeTumA==[/tex].

证明矩阵[tex=5.929x2.786]T6MqMPlFnyXkUnq7J00ANAzRcK5i50q++pW95b5TYLcApsYg7pAWAF4wgAtZXSXYGQovBYBlhoFoIJqwUlL0dvoqwrlKCZSiPRj4eoqu19U=[/tex]不能相似对角化．

用克莱姆法则解线性方程组：[tex=5.929x2.786]7EJHVCtO2IWq3KpdB+jQsizn/dyaPcUj843TlVyTvU+qYXeFS0nbH2RzgBw5ML5EsNcBSASlo5k8hms36OUDtOOaHRf70LBZw9evfjboJP8=[/tex]

用换元积分法计算下列各定积分[tex=5.929x2.786]TsAUIF3pWh7cpiVYYTU26Yg4uxiaFJtjjXzOvUqZR2B/Eesatqwaczo+MZWiHPIT[/tex]

利用2阶或3阶行列式解线性方程组：[tex=5.929x2.786]GE56u9QCDTqcLxZ66HADys0hDz3Snnm+yHFQIovftrP74dohKaHjCuSJ6RSbn5CeXvMxHB9gnS9fgOwdyLmyYu3pMuIawqfKq8ha6p2X9Lo=[/tex]

用对数求导法求下列函数的导数：[tex=5.929x2.786]5rn+KTQLrPGeWzQwFKaS1EIp6dab1bsfDgOFjEfHhCgU4mGGGNPCofFA5pTGfWZr[/tex]

求下列函数的近似值，精确到[tex=2.0x1.214]2sWROp41JQNxRA2ex+qgOQ==[/tex]：[tex=5.929x2.786]Q6wwQ0L/hqj1MHmRPdtRu+ObXtFUegmv9RUmZk+tyD8fzA21fvONAIPFZpz5BDRl[/tex]

设[tex=5.929x2.786]YHIKtHtTy6YeetIBukGWJ29FyEYWVBSkIYhOTWWwEFNeu6iwkaZUSw0MxAVdDIZja+GqhBOYN7rzj76h8n0OTAQxZ8CYMcIQ6P/H2SSArFo=[/tex]；求所有与[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]可交换的矩阵.

求下列函数对于自变量[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 的导数:[tex=5.929x2.786]bwgvL2puYQcrhoq+LHJE16c0OZnX0HWiHTRCGu2yqPbqSeI/QYkI3p+GNqF4M+FH[/tex]

试写出母线[tex=5.929x2.786]Vf1BpGuhboJ+vk8Sjaeoq83ALuK3Oep/mHZ8YZHEaX+BYh4AJvwMegWjqV6CymaAg8PcSI01bTeJyEABU7zZuguH1Zd8hyySnuZ9K982GHE=[/tex] 绕 [tex=0.5x0.786]C7x+w8+jOPZzxFrGGne6Dw==[/tex]轴旋转的方程.