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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.
The perimeter of a square can be expressed as x + 4. If one side of the square is 24, what is the value of x? Since the perimeter of the square is x + 4, and a square has four
Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans: Given : - ∠APB = 120o Construction : -Join OP To prove : -
use the bionomial theorem to expand x+2/(2-X)(WHOLE SQUARE 2)
on 30 april, anthony purchased television invoiced at rm 6999 with cash discount terms of 2/10, 1/15, n/30 and also a trade discount 1.5%, 2%, 3.25%. In order to pay the invoice, h
INTRODUCTION : All of us have encountered mathematics while growing up. Some of us have grown to like it, and therefore, enjoy. doing it. Some others have developed a lukewarm rel
Estimating the Value of a Series One more application of series is not actually an application of infinite series. It's much more an application of partial sums. Actually, we
In a 2500 word report do the market analysis of China. Under this you have to explain: - What are the advantages and disadvantages for foreign company to set up its business cent
For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the
What are the properties of Normal distribution? The normal curve is symmetrical when p=q or p≈q The normal curve is a single peaked curve The normal curve is asymptotic t
#question.onstruct/draw geometric shapes with specific condition.
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