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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.
Dirichlet series
Every convergent sequence contains either an increasing, or a decreasing subsequence.
How many relations on A are both symmetric and antisymmetric?
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.
How much money will Dave and Jane raise for charity
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.
Skew-symmetric matrices
Describe the different type of taxes and their rates in Spokane WA.
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.
Find the probability density function.
Linear programming applied to Aggregate Production Planning of Flat Screen Monitor
Discrete-time model for an economy
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