Let f(x,y) and let g(x, y) O rºy 26+y6 O 6x³y³ 6x6 + 6y g only Which of the above functions are continuous at (0,0)? f only if (x, y) = (0,0) Of and g if (x, y) = (0,0) neither if (x, y) = (0,0) if (x, y) = (0,0)
Let f(x,y) and let g(x, y) O rºy 26+y6 O 6x³y³ 6x6 + 6y g only Which of the above functions are continuous at (0,0)? f only if (x, y) = (0,0) Of and g if (x, y) = (0,0) neither if (x, y) = (0,0) if (x, y) = (0,0)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Let f(x,y)
{
and let g(x, y)
O
x6y6
26+y6
=
O
{
6x³y³
6x6 + 6y6
only
Which of the above functions are continuous at (0,0)?
f only
if (x, y) = (0,0)
f and g
if (x, y) = (0,0)
neither
if (x, y) = (0,0)
if (x, y) = (0,0)
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