证明不等式:<img src='https://img2.soutiyun.com/shangxueba/ask/51399001-51402000/51401966/977847325438542.png' />.

某项目的现金流量如下图所示，则下列等式正确的有（）。<img src='' jquery111006619810749636217=' /><img src='https://img2.soutiyun.com/ask/uploadfile/5397001-5400000/26d73ef528d3b9c559f87bf725653f54.jpg' />

证明:对所有集合A,B和C,有<img src='https://img2.soutiyun.com/ask/2021-01-10/979154132976341.png' />

设z是任一复数,证明<img src='https://img2.soutiyun.com/ask/2021-01-13/9794048514659.png' />

证明“确定的原则”<img src='https://img2.soutiyun.com/ask/2021-01-09/979063969431976.png' />

求下列等式：设<img src='https://img2.soutiyun.com/ask/2020-11-11/973957900743664.png' />

下列不等式中哪一个成立？<img src='https://img2.soutiyun.com/ask/uploadfile/2685001-2688000/f28c3220a6676ee2e20bd44a91edca21.jpg' />

试证明下列函数满足拉普拉斯方程：<img src='https://img2.soutiyun.com/ask/2019-06-18/929711665151155.png' />

利用分部积分证明:<img src='https://img2.soutiyun.com/ask/2021-01-25/980415524997009.png' />

用数学归纳法证明:<img src='https://img2.soutiyun.com/ask/2021-02-22/982838635749578.png' />

设<img src='https://img2.soutiyun.com/ask/2020-12-15/976910006079741.png' />为同一区间上的可导函数,证明

证明:若<img src='https://img2.soutiyun.com/ask/2020-11-11/973945141033851.png' />

证明柯特斯系数满足<img src='https://img2.soutiyun.com/ask/2020-08-04/965384831848618.png' />

利用Γ函数和B函数的关系，证明<img src='https://img2.soutiyun.com/ask/2021-01-19/979914972490034.png' />

证明:集合A是一个关系,当且仅当<img src='https://img2.soutiyun.com/ask/2021-01-10/979154705733101.png' />

设p＞1，证明不等式<img src='https://img2.soutiyun.com/ask/2021-01-18/979838709003026.png' />

设f(x)为连续函数,且满足等式<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/97672305236883.png' />则<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/976723063701479.png' />=().

证明定理3:15中的等式<img src='https://img2.soutiyun.com/ask/2021-01-02/978463581870021.png' />

构造公式<img src='https://img2.soutiyun.com/ask/2020-12-17/97706736786159.jpg' />的否证，从而证明它是矛盾式。

若<img src='https://img2.soutiyun.com/latex/latex.action' />，<img src='https://img2.soutiyun.com/latex/latex.action' />试证明时域卷积定理<img src='https://img2.soutiyun.com/latex/latex.action' />和频域卷积定理<img src='https://img2.soutiyun.com/latex/latex.action' />

用真值表证明反演律:<img src='https://img2.soutiyun.com/ask/2021-01-21/980081620488771.png' />

证明不等式：<img src='https://img2.soutiyun.com/ask/2020-08-18/966606791867552.png' />

证明恒等式：<img src='https://img2.soutiyun.com/ask/2020-08-10/965923265077714.png' />

证明：若f为函数，则<img src='https://img2.soutiyun.com/ask/2020-08-12/966099742187747.png' />

证明:若<img src='https://img2.soutiyun.com/ask/2020-11-13/974144553195733.png' />