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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.
Andy earned the subsequent grades on his four math quizzes: 97, 78, 84, and 86. What is the average of his four quiz grades? To ?nd out the average, you must add the items (97
Terminology related to division : A good way to remedy this situation is to familiarise children with these concepts in concrete, contexts, to start with. For instance, if a chi
what is the tenths place
What do you need to multiply 30 by to get 1500? This will give you the top edge length of the rectangle. Can you then figure out what must go below the 30 in order to get the area
Ryan's gym membership costs him $390 per year. He pays this within twelve equal installments a year. How much is every installment? To ?nd out each installment, the total yearl
Solve the form ax 2 - bx - c factoring polynomials ? This tutorial will help you factor quadratics that look something like this: 2x 2 -3x - 14 (Leading coefficient is
Draw a flowchart for accumulated principal at the end of 5 years by taking into account compound interest?
we dont know how to do rates
A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that
If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans: Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ
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