1.下列函数的极大值点和极小值点: (1)f(x,y)=(x-y+1 (2)f(x,y)=3mxy-x-y(a>0) (3)f(x,y)=xy (a,b>0)

1.设函数F(x,y)满足 (1)在区域D:x-a≤x≤x+a,yo-b≤y≤yo+b上连续; (2)F(x0,y)=0

1.求下列无穷积分的值: d x dx(a>0); (4) e\sin bxdx(a>0

1.证明:若微分方程xy\+y+xy=0有多项式解 y=a+a1x+a2x2+…+anx, 则必有a1=0(i=1,2,…,n)

1.已知下列函数在指定区间上可积,用定义求下列积分: (1)|xtx(00)

1.证明:(1)方程x3-3x+c=0(c是常数)在区间[01]内不可能有两个不同的实 根; (2)方程x+px+q=0(n为正整数,p,q为实数)当n为偶数时至多有两个实 根;当n为奇数时至多有三个实根

Signaling games are used to model the following situation: Player 1, the Sender, receives some private information and sends a message m E M to Player 2, the Receiver. The latter, in turn, observes m but not 0, and chooses response r E R. Players'payoffs depend on 0, m and r. What could be simpler? Yet, there is a huge number of economically interesting games that fit nicely within this framework: Spence's job market signaling model is the leading example, but applications abound in IO (limit pricing, disclosure...) finance (security design) and political economics

1、设a为有理数,x为无理数。证明: (1)a+x是无理数;(2)当a≠0时,ax是无理数。 2、试在数轴上表示出下列不等式的解: (1)x(x2-1)>0;(2)|x-1|x-3|;(3)√x-1-2x-1≥3x-2 3、设a、b∈R证明:若对任何正数ε有a-b<,则a=b

习题讨论 题目: 1,计算I dx ta 2,计算lm=r(mndt,其中Bm为自然数 8,计算J=(11 xax,其中x是x的整数部分 sIn x sIn x 4,一研究l1= dx, dx,p>O的敛散性 x +sinx 5,设f:(-∞+∞)→R,在任何有限区间可积,且有limf(x)=A, 明,Ⅵt,()=「((x+0-f(x)=0 第七章定积分

1.大样本,n=100,x=26.56,0=5.2,a=0.1 H0:μ=26