Let f be defined for (x, y) = R² if x #0 where f(x, y) = (x² + y²) x ,sin x + cos y Prove whether or not there is a neighborhood U of (T/2, 7/2) such that flu: Uf(U) is a bijection.
Let f be defined for (x, y) = R² if x #0 where f(x, y) = (x² + y²) x ,sin x + cos y Prove whether or not there is a neighborhood U of (T/2, 7/2) such that flu: Uf(U) is a bijection.
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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Transcribed Image Text:) Let f be defined for (x, y) = R² if x #0 where
f(x, y) = ( ₁²¹² + y^²)
X
-, sinx+cos y
Prove whether or not there is a neighborhood U of (T/2, 7/2) such that
flu: U f(U) is a bijection.
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