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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.
Root Test- Sequences and Series This is the final test for series convergence that we're going to be searching for at. Like with the Ratio Test this test will as well tell wh
what are these all about and could i have some examples of them please
Sketch the phase portrait for the given system. Solution : From the last illustration we know that the eigenvectors and eigenvalues for this system are, This tu
A man on a top of a tower observes a truck at an angle of depression α where tanα = 1/√5 and sees that it is moving towards the base of the tower. Ten minutes later, the angle of
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 an
Does the Angle-Side Relationship Theorm work for all triangles or just a certain type of triangle? Does is correspond with the orthocenter of a triangle?
reflection
So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable
what is the expiremental probability that the next toss and spin will result in 3 and tail if 1-heads,53.2-heads,49.3-heads,54.1-tail,65.2-tails,71.3-tails,62
We know that 2 4 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log 2
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