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．

问答题设x 3 -3xy+y 3 =3确定隐函数y=y(x)，求y=y(x)的极值.

问答题设箱中有5件产品，其中3件是优质品。从该箱中任取2件，以X表示所取的2件产品中的优质品件数，Y表示箱中3件剩余产品中的优质品件数。 (Ⅰ)求(X，Y)的概率分布； (Ⅱ)求Cov(X，Y)。

问答题求一个正弦波曲线与x轴所围成图形的面积(只计算一个周期的面积)．

问答题设f(x)在[a，b]上连续，在(a，b)内二阶可导，且存在ξ∈(a，b)，得f"(ξ)＞0．证明：

问答题设f(x)在R上可微且f'(0)=0，又

问答题设随机变量X的密度函数为

问答题设，向量是矩阵A-1属于特征值λ0的特征向量，若|A|=-2，求a，b，c及λ0的值．

问答题向量组Ⅰ：c1，c2，…，cr可以由向量组Ⅱ：b1，b2，…，bt线性表出，向量组Ⅱ可以由向量组Ⅲ：α1，α2，…，αs线性表出，则向量组Ⅰ可以由向量组Ⅲ线性表出． 向量组Ⅰ可以由向量组Ⅲ线性表出，向量组Ⅱ可以由向量组Ⅲ线性表出，则向量组Ⅰ可以由向量组Ⅱ线性表出？

问答题若α1，α2，…，αs线性相关，则至少有一个向量可以由其余向量线性表出. 若α1，α2，…，αs线性相关，则其中任一个向量均可以由其余向量线性表出？

问答题设f(x)连续，f(0)=1，令，求F"(0)．

问答题设A为实对称矩阵，且A的特征值都大于零．证明：A为正定矩阵．

问答题设直线y=kx与曲线所围平面图形为D1，它们与直线x=1围成平面图形为D2．