计算积分[tex=7.286x2.786]K3118ouU7vsF15ggWM2kbf3KUjkPRKQ1Pnoo90R0EqzrC0A3ShqW0ibKYjjvr9CptYYvz8zI/qOrdlT1RlYo5pV5XKIZPLj7HwWEhNettHG+DcsbY2e34olG58k5nrKF[/tex]

求下列函数的拉普拉斯逆变换的初值和终值。[tex=7.286x2.786]cdBjRhUq2VkPlODGK8gooMChgmuHoLNL6Gfp9+ToFeZcnOz8i1dU8pyWE+RARXBQ[/tex]

利用定积分的性质,估计下列积分的取值:[tex=7.286x2.786]5BT+8C8AxRfpCZlbe5KeSEXPpgYejuEIjkIXM8fh33JtCifnaDh8eyLJBklroQXn3RZhPdbXJwnl+Iz6tHesGw==[/tex][br][/br]

利用换元积分法和分部积分法计算下列各定积分：[tex=7.286x2.786]2IsyRgu6F/sOeO48rmKf9C7fq9AIwmKObH1ZTyml1QIN/YG4y32ohpKbFZ1SSk91Hf47FfiswdJsGEmfE5RvWt+SsbvdZ+M3cf19/JjvoKc=[/tex]

设矩阵[tex=6.643x3.643]y1fc6yvr1unY5MG0NZ174Zfdy6dR5/je12S+qn2G6kbqbe0xfgifN42i9QgQZBbHz/CTXZe0ye4vXX06oLITqjcGkoK6z+gbsHvn9EieuHk=[/tex]，[tex=7.286x2.786]LIgBOGsnAA+/Vlp3pyI5R8zbf68WjdXurqnpS9Msf7mTpvh1JhbnkTJuGbpMzLGKWQgla17N+sJE1hcCGKO0sPJAqxLaCWIpjl1sobK86ls=[/tex]，验证[tex=6.929x1.286]zsi0cAUjpypHM/PtPbOeJDrGN3yRcjMCsb5A6QrESxJO28tFKXqTAxuAUJIvJlB9[/tex]。

求函数在给定点处的偏导数:设 [tex=7.286x2.786]fgvkVEnzNMRo8F98u7radfx6KmcsS5Iwe7FlpmY8qjhKR1BBetNgymu6XdGnnSEl[/tex], 求[tex=6.571x1.571]49UFtdxdDKQlKWZMhTPj6jqPZCd/UmUQwfkAWlvgw3JfSFOi3zQ5gT3vzmI/Aefz[/tex].

利用 [tex=1.929x1.0]yAwdJClFFZz0thsJz14zeA==[/tex]的复化 [tex=3.929x1.214]8J0egaEhuUVWr6XiydqGew==[/tex]公式计算积分,[tex=7.286x2.786]u5/riQTd+DtIC9kBnmlD4AsYgPv5h+NkhYtf2Ugymo1gUHBTdNuZU5aCTzbaQqxH[/tex]并估计截断误差.

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)

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)