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1.find 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.
A number, x, increased through 3 is multiplied by the similar number, x, increased by 4. What is the product of the two numbers in terms of x? The two numbers in terms of x wou
A die is rolled twice and the sum of the numbers appearing on them is observed to be 7.What is the conditional probability that the number 2 has appeared at least once? A) 1/3
1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia
Trig Functions: The intent of this section is introducing you of some of the more important (from a Calculus view point...) topics from a trig class. One of the most significant
One-to-one Correspondence : Suppose you are given a certain number of cups and saucers, and are asked to find out whether there are enough saucers for all the cups. How would you
Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)
Find the series solution of2x2y”+xy’+(x2-3)Y=0 about regular singular point
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?
scanning the demographic environment
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