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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.
interestind topic in operation research for doing project for msc mathematics
Joe walked 2 1/2 miles to school, 1/3 mile to work, and 1 1/4 miles to his friend's house. How several miles did Joe walk altogether? To find out the total distance walked, add
Sketch (draw) the parametric curve for the subsequent set of parametric equations. x = t 2 + t y = 2t -1 Solution At this point our simply option for sketching a par
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The augmented matrix from a system of linear equations has the following reduced row-echelon form (a) How many equations are there in the system? (b) How many variab
What are the Rules of vector multiplication?
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change 5.075 to a fraction
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Judgment Sampling Here the interviewer chooses whom to interview believing that their view is more fundamental because they might be directly affected for illustration, to find
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