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Determine the set of points at which the function is continuous. f(x, y) = x²y³ 6x² + y² 1 •{(x y) | (x, ‚ y) ‡ (0, 0 O {(x, y)ixe R and y ER} € o{kx, y) XE Randy z 0} 0 {(x, y) 1 x + y * 0} # O 0 {(x,x) x > 0 and y>0} if (x, y) = (0, 0) if (x, y) = (0, 0)

Determine the set of points at which the function is continuous. f(x, y) = x²y³ 6x² + y² 1 •{(x y) | (x, ‚ y) ‡ (0, 0 O {(x, y)ixe R and y ER} € o{kx, y) XE Randy z 0} 0 {(x, y) 1 x + y * 0} # O 0 {(x,x) x > 0 and y>0} if (x, y) = (0, 0) if (x, y) = (0, 0)

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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Determine the set of points at which the function is continuous. f(x, y) = x²y³ 6x² + y² 1 •{(x y) | (x, ‚ y) ‡ (0, 0 O {(x, y)ixe R and y ER} € o{kx, y) XE Randy z 0} 0 {(x, y) 1 x + y * 0} # O 0 {(x,x) x > 0 and y>0} if (x, y) = (0, 0) if (x, y) = (0, 0)
Transcribed Image Text:Determine the set of points at which the function is continuous. f(x, y) = x²y³ 6x² + y² 1 •{(x y) | (x, ‚ y) ‡ (0, 0 O {(x, y)ixe R and y ER} € o{kx, y) XE Randy z 0} 0 {(x, y) 1 x + y * 0} # O 0 {(x,x) x > 0 and y>0} if (x, y) = (0, 0) if (x, y) = (0, 0)
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