Let f(x, y) = and let g(x, y) O O rºy6 26+y6 O 0 0 6x³y³ 6x6 + 6y6 Which of the above functions are continuous at (0,0)? g only 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)
Let f(x, y) = and let g(x, y) O O rºy6 26+y6 O 0 0 6x³y³ 6x6 + 6y6 Which of the above functions are continuous at (0,0)? g only 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)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:Let f(x, y) =
and let g(x, y)
O
O
O
x³y6
x6+y6
O
0
0
6x³y³
6x6 + 6y6
Which of the above functions are continuous at (0,0)?
g only
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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