2x-2y* If f(x,y)={3x² +3y² if (x, y) # (0,0) then: m if (x,y) =(0,0) f(x,y) is continuous at (0,0) if m=0. limf(x, y) = (x7)-(0,0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Question
( 2x* – 2y*
If f(x, y) ={3x +3y²
if (x, v) # (0,0)
, then:
if (x,y) = (0,0)
m
f(x,y) is continuous at (0,0) if m=0.
lim f(x, v) =
(x.)(0.0)
This option
O This option
lim
(x,y)-(0.0)
f(x, y) doesn't exist.
f(x,y) is continuous at (0,0) if m=1.
O This option
O This option
Transcribed Image Text:( 2x* – 2y* If f(x, y) ={3x +3y² if (x, v) # (0,0) , then: if (x,y) = (0,0) m f(x,y) is continuous at (0,0) if m=0. lim f(x, v) = (x.)(0.0) This option O This option lim (x,y)-(0.0) f(x, y) doesn't exist. f(x,y) is continuous at (0,0) if m=1. O This option O This option
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