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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.
The freshman class is participating in a fundraiser. Their target is to raise $5,000. After the first two days of the fundraiser, they have raised 32 percent of their goal. How man
Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
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verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2
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