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Let g(x, y) = x4 + y² – 4x³ + 5x – 6y+3. Show that g(x,y) continuous (actually at least aC') function y = f(x) in a small neighborhood of x = 0, y = 0. 3 defines a

Let g(x, y) = x4 + y² – 4x³ + 5x – 6y+3. Show that g(x,y) continuous (actually at least aC') function y = f(x) in a small neighborhood of x = 0, y = 0. 3 defines a

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let g(x, y) = x4 + y² – 4x³ + 5x – 6y+3. Show that g(x,y) = 3 defines a continuous (actually at least aC1) function y = f(x) in a snall neighborhood of x = 0, y = 0. -
Transcribed Image Text:Let g(x, y) = x4 + y² – 4x³ + 5x – 6y+3. Show that g(x,y) = 3 defines a continuous (actually at least aC1) function y = f(x) in a snall neighborhood of x = 0, y = 0. -
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