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#5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system 5x² + 4y = 9 3xy(²-²) = 0 near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4 satisfying F(1, 1,-1,-1) = 0 R² is a C¹ function

#5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system 5x² + 4y = 9 3xy(²-²) = 0 near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4 satisfying F(1, 1,-1,-1) = 0 R² is a C¹ function

Algebra & Trigonometry with Analytic Geometry
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 u (u, v) = g(x) for the system 5x² + 4y = 9 3xy(²-²) = 0 near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4 satisfying F(1, 1,-1,-1) = 0 R² is a C¹ function
Transcribed Image Text:#5: Verify that there exists a function g: R². R² such that u (u, v) = g(x) for the system 5x² + 4y = 9 3xy(²-²) = 0 near the point (1, 1,-1,-1), by calculating det(D(u, v)F(1, 1,-1,-1)) where F: R4 satisfying F(1, 1,-1,-1) = 0 R² is a C¹ function
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