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f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x, y) does not exist.

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 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Question

Needed to be solved this question correctly in 30 minutes and get the thumbs up please show neat and clean work By hand solution needed Please solve correctly

8. Let the function f: R² -
f(x, y):
(y + 2x²)²
x² + y²
0
{
R be defined by
lim
Show that (x,y) (0,0)
si (x, y) = (0,0)
si (x, y) = (0,0).
f (x, y)
does not exist.

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