exists a fune 4x₁² + 5y = 9 (2xy(1²²-²) = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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#5: Verify that there exists a function g: R² R² such that i = (u, v) = g(x) for the system
4x² + 5yv² = 9
2xy(1² - 1²) = 0
near the point (1,1,-1,-1) by calculating det(D(u, v) F(1, 1,-1,-1)) where F:R¹ R² is a C¹ function
satisfying F(1, 1,-1,-1) = 0
Transcribed Image Text:#5: Verify that there exists a function g: R² R² such that i = (u, v) = g(x) for the system 4x² + 5yv² = 9 2xy(1² - 1²) = 0 near the point (1,1,-1,-1) by calculating det(D(u, v) F(1, 1,-1,-1)) where F:R¹ R² is a C¹ function satisfying F(1, 1,-1,-1) = 0
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