问答题求微分方程y-y"=1+xy"的通解．

问答题已知函数f(x)在[0，1]上连续，在(0，1)内可导，且f(1)=0，证明：存在ξ∈(0，1)，使得

问答题求过原点，且与直线l1，l2都平行的平面．其中

问答题研究y=3x4-8x3+6x2+5的增减性、极值、极值点、曲线y=f(x)的凹凸区间与拐点．

问答题求其中D={(x，y)|x2+y2≤1，x≥0，y≥0}．

问答题设函数f(x)在[0，+∞)上可导，f(0)=0，且其反函数为g(x)，若，求f(x)．

问答题求下列极限：

问答题已知二次型．

问答题设L是一条平面曲线，其上任意一点P(x，y)(x＞0)到坐标原点的距离恒等于该点处的切线在y轴上的截距，且L经过点

问答题设z=e x(x2+y2) ，求dz．

问答题竹梯长5米，上端靠墙，下端着地．当竹梯下端离墙2.5米时，以1.2米/秒的速度离开墙．问这时竹梯上端下降的速度是多少?

问答题Almost all our major problems involve human behavior, and they cannot be solved by physical and biological technology alone. What is needed is a technology of behavior, but we have been slow to develop the science from which such a technology might be drawn, (46) One difficulty is that almost all of what is called behavioral science continues to trace behavior to states of mind, feelings, traits of character, human nature, and so on. Physics and biology once followed similar practices and advanced only when they discarded them, (47) The behavioral sciences have been slow to change partly because the explanatory items often seem to be directly observed and partly because other lands of explanations have been hard to find. The environment is obviously important, but its role has remained obscure. It does not push or pull, it selects, and this function is difficult to discover and analyze. (48). The role of natural selection in evolution was formulated only a little more than a hundred years ago, and the selective role of the environment in shaping and maintaining the behavior of the individual is only beginning to be recognized and studied. As the interaction between organism and environment has come to be understood, however, effects once assigned to states of mind, feelings, and traits are beginning to be traced to accessible conditions, and a technology of behavior may therefore become available. It will not solve our problems, however, until it replaces traditional pre-scientific views, and these are strongly entrenched. Freedom and dignity illustrate the difficulty. (49) They are the possessions of the autonomous (self-governing) man of traditional theory, and they are essential to practices in which a person is held responsible for his conduct and given credit for his achievements. A scientific analysis shifts both the responsibility and the achievement to the environment. It also raises questions concerning "values". Who will use a technology and to what ends? (50) Until these issues are resolved, a technology of behavior will continue to be rejected, and with impossibly the only way to solve our problems.

问答题给定曲线y=x 3 与直线y=px-q(其中p＞0)，求p与q为何关系时，直线y=px-q是y=x 3 的切线。

问答题设二维随机变量(X，Y)的联合密度为

问答题设f(x)是(-∞，+∞)内连续的偶函数．证明：

问答题设求a，b及正交矩阵P，使得PTAP=B．

问答题设随机变量X与Y相互独立同分布，其中令U=max(X，Y)，V=min(X，Y)．1.求(U，V)的联合分布；

问答题一半径为R的球沉入水中，球面顶部正好与水面相切，球的密度为1，求将球从水中取出所做的功．

问答题证明不等式当x＜1且x≠0时成立．