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x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0) (x, y) = (0,0) is continuous at (0,0).

x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0) (x, y) = (0,0) is continuous at (0,0).

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...
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x ³ Determine whether the function z = g(x, y) = x². 0 (why or why not) for (x, y) = (0,0) for (x,y)=(0,0) is continuous at (0,0).
Transcribed Image Text:x ³ Determine whether the function z = g(x, y) = x². 0 (why or why not) for (x, y) = (0,0) for (x,y)=(0,0) is continuous at (0,0).
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