Let X be the graph of f(x) = x-1s given below
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1b
Transcribed Image Text:1. Let X be the graph of f(x) = x2/3 given below
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that is, X is the subset of R x R satisfying the given equation.
Declare that a subset A of X is basic if
A = Xn B,((x, y))
for some open ball B.((x, y)) = {(a, b) e R × R| /(x – a)² + (y – b)² < c}.
Let Aj and A2 be basic subsets of X.
i. Is Aj U A2 a basic subset of X? Prove or provide a counterexample.
ii. Is A1 N A2 a basic subset of X? Prove or provide a counterexample.
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