Let f be defined for (x, y) = R² if x #0 where sy). f(x, y) = - (+²+3^²) = sin x + cos y hether or not there is a neighborhood U of (π/2, π/2) such that f(U) is a bijection.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Real Analysis II

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