if (x, y) ± (0,0) x6 + y6 Let f(x, y) if (x, y) = (0,0) if (æ, y) + (0,0) and let g(x, y) 6x10 + 6y10 if (x, y) = (0,0)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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if (x, y) # (0,0)
Let f(x, y)
x6 + y6
if (æ, y) = (0,0)
6x°y°
if (x, y) + (0,0)
6x10 + 6y10
and let g(x, y)
if (x, y) = (0,0)
Which of the above functions are continuous at (0,0)?
f and g
g only
f only
neither
Transcribed Image Text:if (x, y) # (0,0) Let f(x, y) x6 + y6 if (æ, y) = (0,0) 6x°y° if (x, y) + (0,0) 6x10 + 6y10 and let g(x, y) if (x, y) = (0,0) Which of the above functions are continuous at (0,0)? f and g g only f only neither
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