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1. Evaluate lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even.
2. Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2.
3. let r>0 and S={x in R^3:(x1)^2+(x2)^2+(x3)^2<(r)^2} show that diam S=2r.
4. let x=(x1,...xn) in Rn.show that (? k=1,n xk)^2<=n|x|^2.
Every convergent sequence contains either an increasing, or a decreasing subsequence.
Dirichlet series
Suppose that in the four player game, the person who rolls the smallest number pays $5.00 to the person who rolls the largest number. Calculate each player's expected gain after one round.
How much money will Dave and Jane raise for charity
Linear programming applied to Aggregate Production Planning of Flat Screen Monitor
Daily Airlines fies from Amsterdam to London every day. The price of a ticket for this extremely popular flight route is $75. The aircraft has a passenger capacity of 150.
Skew-symmetric matrices
This question is asking you to compare the likelihood of your getting 4 or more subscribers in a sample of 50 when the probability of a subscription has risen from 0.02 to 0.06.] Talk about the comparison of probabilities in your explanation.
Discrete-time model for an economy
How many relations on A are both symmetric and antisymmetric?
Find the probability density function.
Describe the different type of taxes and their rates in Spokane WA.
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