Mathematics · Real Analysis
Consider the function F: &mathbb{R}2 → &mathbb{R}2 given by F(x, y) = (x3 - 3xy2 - 3x, 3x2y - y3 - 3y). Then, for the function F, the Inverse Function Theorem is:
- 1not applicable at exactly three points of &mathbb{R}2
- 2not applicable at exactly two points of &mathbb{R}2✓
- 3not applicable at exactly one point of &mathbb{R}2
- 4applicable at all points of &mathbb{R}2
Correct answer
not applicable at exactly two points of &mathbb{R}2
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