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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.
y=mx+c
Use an appropriate infinite series method about x = 0 to find two solutions of the given differential equation: y''''-xy''-y=0
If the difference among the squares of two consecutive integers is 15 find out the larger integer. Let x = the lesser integer and let x + 1 = the greater integer. The sentence,
show that the circle described on any focal chord of the parabola touches the directrix
example with solution of quadratic polynomial
A man sold an item for Rs 6,750 at a loss 25%. What will be the selling price of same item if he sells it at a profit of 15%?
Where can I find sample questions of Unitary Method for kids to practice? I need Unitary Method study material if availbale here on website, i found there is very useful material
Q. What are Whole numbers? The set of whole numbers is the set of natural numbers with the zero thrown in: 0,1,2,3,4,... Hint: Some people remember that the whole numbers
sequencing problem
What are directional derivatives? Explain with two or more examples..
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