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

甲钢伸长率为<img src='https://img2.soutiyun.com/latex/latex.action' />，乙钢伸长率为<img src='https://img2.soutiyun.com/latex/latex.action' />，试验条件相同，若二者数值相等，则( )。

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' />

若函数<img src='https://img2.soutiyun.com/ask/2020-08-13/966178131180276.png' />,则<img src='https://img2.soutiyun.com/ask/2020-08-13/966178120045639.png' />。().此题为判断题(对，错)。

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' />

若<img src='https://img2.soutiyun.com/latex/latex.action' />，<img src='https://img2.soutiyun.com/latex/latex.action' />，则下列式子成立的是( )

若<img src='https://img2.soutiyun.com/latex/latex.action' />则a=( )

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' />

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