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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.
what are the formulas for finding the area and volume of plane figures
Equations of Lines In this part we need to take a view at the equation of a line in R 3 . As we saw in the earlier section the equation y = mx+b does not explain a line in R
Alan had 6 books. He read 1/3 of books last week. How many books did Alan read last week?
According to a Gallup poll 51% of US women prefer to have a job outside of the home. What is the chance that a survey of 200 women would find that 45% or less of the respondants
A rectangular container is 15 cm wide and 5 cm long, and contains water to a depth of 8 cm. An object is placed in the water and the water rises 2.3 cm. Determine the volume of the
Find out the center of mass for the region bounded by y = 2sin (2x), y =0 on the interval [0 , Π/2] Solution Here is a sketch (diagram) of the region along with the cent
How do you do converting metric units?
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Find out some solutions to y′′ - 9 y = 0 Solution We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the
Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the
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