Plz don't use chat gpt It Problems. 2-36.* Let A CR" be an open set and f: A → R₁a continuously differentiable 1-1 function such that det f'(x) ‡ 0for all x.Show that f(A) is an open set and f¹: f(A)→ A is differ-entiable. Show also that f(B) is open for any open set BCA.

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Answered: roblems. 2-36.* Let A CR be an open set…

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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roblems. 2-36.* Let A CR be an open set and f: A → R a continuously differentiable 1-1 function such that det f'(x) = 0 Show that f(A) is an open set and f¹: f(A)→ A is differ- Show also that f(B) is open for any open set BCA. for all x. entiable.