求近似值:<img src='https://img2.soutiyun.com/ask/2020-12-12/976647487609701.png' />

证明当恒定电流从良导体流入不良导体中时，界面近似为一等势面。<img src='https://img2.soutiyun.com/ask/2019-12-27/946302009297776.png' />

求下列依赖于参数的不定积分：<img src='https://img2.soutiyun.com/ask/2020-03-06/952339842026776.png' />

求下列依赖于参数的不定积分：<img src='https://img2.soutiyun.com/ask/2020-02-12/950394499913159.png' />

求下列逻辑函数的反函数：<img src='https://img2.soutiyun.com/ask/2020-02-20/951087694661952.png' />

求极限<img src='https://img2.soutiyun.com/ask/2021-01-14/979466736908219.png' />

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

已知某个电路元件上的电压和电流为<img src="https://img2.soutiyun.com/ask/2020-07-07/96296750308178.png"/><img src="https://img2.soutiyun.com/ask/2020-07-07/962967514498434.png"/>求电压与电流的相位差。

如图所示，求极限<img src='https://img2.soutiyun.com/ask/2020-08-05/965493487281846.png' />

计算下列三角函数值的近似值：<img src='https://img2.soutiyun.com/ask/2020-02-22/951218228363383.png' />

求不定积分：<img src='https://img2.soutiyun.com/ask/2020-02-22/951216451032901.png' />

求函数<img src='https://img2.soutiyun.com/ask/2021-01-13/979407831858369.png' />时的全增量和全微分。

求函数<img src='https://img2.soutiyun.com/ask/2021-01-13/979407168972454.png' />在这点的内法线方向的方向导数.

设a+3b⊥7a-5b,a-4b⊥7a-2b,求<img src='https://img2.soutiyun.com/ask/2020-07-31/965053905092976.png' />

求下列依赖于参数的不定积分：<img src='https://img2.soutiyun.com/ask/2020-03-06/952339684693443.png' />

求下列积分，应用分部积分法：<img src='https://img2.soutiyun.com/ask/2019-12-19/94561968946154.png' />

设a≠0,|r|＜1,求<img src='https://img2.soutiyun.com/ask/2020-10-26/972583970755153.png' />

求极限<img src='https://img2.soutiyun.com/ask/2020-08-14/966268005939192.png' />

已知<img src='https://img2.soutiyun.com/shangxueba/ask/51249001-51252000/51250992/974464162712768.png' />求(A·)^-1

<img src='https://img2.soutiyun.com/ask/2020-12-22/977495494038048.png' />，求S的r组合数。

在（）温度范围内，密度随温度的变化可近似地按“<img src='https://img2.soutiyun.com/shangxueba/ask/17673001-17676000/17675724/2015040314462584089.jpg' />”式计算。

用矩阵乘法求连续施以下列线性变换的结果:<img src='https://img2.soutiyun.com/ask/2020-08-12/966093089031208.png' />

用仪器测量某零件的长度n次，得到n个略有差别的数:a₁,a₂,…,a_n,证明:用算术平均值<img src='https://img2.soutiyun.com/ask/2020-12-20/977341497733953.png' />作为该零件的长度x的近似值，能使<img src='https://img2.soutiyun.com/ask/2020-12-20/977341503690294.png' />达到最小.

求不定积分:<img src='https://img2.soutiyun.com/ask/2021-01-13/979403568074495.png' />

求不定积分<img src='https://img2.soutiyun.com/ask/2021-01-13/979402944371821.png' />