For this problem, let f: R→ R be a function. We say that a non-empty set UCR is ajar ifVU, 3r>0 such that (u-r, u + r) ≤U.(a) Show that (0, 2) is ajar.

We have to Show that (0,2) is ajar i.e. open.

Answered: or this problem, let f: R→R be a…

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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et △ABC be a triangle in S^2 (the two-dimensional sphere). Let the dual point C'∈S^2 of C be defined by the following three conditions:(i) d(C' , A)=π/2(ii) d(C' , B)=π/2(iii) d(C' , C)≤π/2A' and B' are defined analogously. Thus we get a dual triangle △A' B' C'. More precisely, △ABC is a non-degenerate triangle, andit follows (you may assume) that △A' B' C' is too.(question) Are there triangles △ABC in S^2 identical to their own dual △A'B'C'? I would be very thankful if you could provide some explanation with the steps, thank you in advance.

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or this problem, let f: R→R be a function. We say that a non-empty set UCR is ajar if Vu EU, 3r >0 such that (u-r,u+r) CU. a) Show that (0, 2) is ajar.