Let X be the graph of f(x) given below that is, X is the subset of R x R satisfying the given equation. (c) In a similar manner, declare that a subset I of R is basic if I = RN B.(r)

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Chapter2: Second-order Linear Odes
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2c

1. Let X be the graph of f(x) = x2/3 given below
that is, X is the subset of R x R satisfying the given equation.
(c)
In a similar manner, declare that a subset I of R is basic if
I = RN B.(x)
for some open ball B.(r) = {a € R| |x – al < e}. Given a basic subset A of X, is g(A) a basic
subset of R? Justify your answer.
Transcribed Image Text:1. Let X be the graph of f(x) = x2/3 given below that is, X is the subset of R x R satisfying the given equation. (c) In a similar manner, declare that a subset I of R is basic if I = RN B.(x) for some open ball B.(r) = {a € R| |x – al < e}. Given a basic subset A of X, is g(A) a basic subset of R? Justify your answer.
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