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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.
find the area of this figure in square millimeter measure each segment to the nearest millmeter
Given that f(x,y) = 3xy - x 2 y - xy 2 . Fi nd all the points on the surface z = f(x, y)where local maxima, local minima, or saddles occur
/100*4500/12
using the formula sin A =under root 1+ cos2A /2 . find value of 30 degree, it is being given that cos 60 degree =1/2.
6987+746-212*7665
Geometric mean - It is a measure of central tendency normally utilized to measure industrial increases rates. - It is explained as the nth root of the product of 'n' observa
a pair of straight lines are drawn through the origin forms with the line 2x+3y=6 an isoceles triangle right angled at origin find the equation of pair of straight line?
One of the well-known class of models that involve a simple difference equation are models of mean reversion. These models typically take the form yt+1 - yt = -a(yt - μ)where 0
The time in seconds that it takes for a sled to slide down a hillside inclined at and angle θ is where d is the length of the slope in metres. Find the time it takes to sli
Find the least number that is divisible by all numbers between 1 and 10 (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2 × 2
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