4y° sin°(x) x10 + y10 if (x, y) + (0,0) Let f(x, y) if (x, y) = (0,0) sin(4æy) if (x, y) + (0,0) and let g(x, y) xY 4 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...
Question
4y sin (x)
x10 + y10
if (x, y) + (0,0)
Let f(x, y)
if (x, y) = (0,0)
sin(4xy)
if (x, y) + (0,0)
xy
and let g(x, y)
4
if (x, y) = (0,0)
Which of the above functions are continuous at (0,0)?
g only
f only
f and g
neither
Transcribed Image Text:4y sin (x) x10 + y10 if (x, y) + (0,0) Let f(x, y) if (x, y) = (0,0) sin(4xy) if (x, y) + (0,0) xy and let g(x, y) 4 if (x, y) = (0,0) Which of the above functions are continuous at (0,0)? g only f only f and g neither
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