请教几道往年的题目,谢谢

mccrimsonUID: 2636067

1 Fair coins are tossed and when either four consecutive heads or tails appear the process will be stopped. What is the probability of two consecutive head or tail or any one of them in one row?
2  A = 0  1           I =  1   0              计算 I+sigma_{n=0}^inf  A^n*t^n/n!
          1  0                 0   1
3 f is strictly increasing, then which is necessarily WRONG?
C. int_1^2 f(x)dx=int_0^1 f(x) dx  E. f'(1)=-f'(2)
4 the coefficient of x^50 in (sigma_{n=1}^inf x^n)^3 ?
5 f: X->Y g: Y->Z if g o f : X->Z is one to one then which must be correct?
A. f is one to one B f is onto C. g is one to one D g is onto
6. number of connected components of e^z, with |z|=1. 这个是1个吧，因为映射连续
7. A is a n dimension matrix. if (A-I)^2=0
which is correct?  detA=1?  trace(A)=n?
8. 将3g的盐混入100升水里。 然后每秒钟加入4升含盐量0.02g/L的溶液，同时从底部排出4升水，假设溶液是瞬时混合，问100秒后的浓度。
9. f'(0)=f''(0)=1, f 12阶可导， g=f(x^10) 求g的11阶导在x=0的值
10. 单位方框中的所有坐标至少有一个是无理数，即(a,b)坐标a,b中至少有一个是无理数的所有这样坐标点的集合的性质。是否连通，是否紧致？
11. Let A and B be nonempty subsets of R and let f: A -> B be a function. If C \subset A and D \subset B. Which of the following must be true?
A. C \subset f-1(f(C))
B. D \subset f(f-1(D))

ljzflyerUID: 2917018

定一下 求高手来解答 多谢啊

tbic2012UID: 3413195

顶一下 求高手