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Give an example of each of the following given below . You do not require to give any justi cation.
(a) A nonempty, bounded subset of Q with no in mum in Q.
(b) A subspace of R containing N in which {1} is open but (2) is not.
(c) A nonempty subspace of Q which is complete in the metric space sense.
(d) An uncountable open subset of R\Q which is not all of R\Q.
(e) A bounded sequence in {x € R\Q } - 1 < x < 1} which is not Cauchy in R.
Hyperboloid of Two Sheets The equation which is given here is the equation of a hyperboloid of two sheets. - x 2 /a 2 - y 2 / b 2 + z 2 /c 2 = 1 Here is a diagram of
#stioquen..Store A is advertising a sale that will reduce prices on all merchandise by 15%. Store B is advertising a sale that will reduce prices on all merchandise by one over fiv
Rates of Change and Tangent Lines : In this section we will study two fairly important problems in the study of calculus. There are two cause for looking at these problems now.
Determine the matrix of transformation for the orthogonal projection onto the line L that passes through the origin and is in the direction Û=(3/13 , 4/13 , 12/13). Determine the r
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