Determine whether the function xy²/3 + xy √√x⁹ +2y³ h(x, y) = 1 √3' if (x, y) = (0,0) if (x, y) = (0,0) nous at the point (0, 0) or not. If not, determine whether the disc removable or essential.
Determine whether the function xy²/3 + xy √√x⁹ +2y³ h(x, y) = 1 √3' if (x, y) = (0,0) if (x, y) = (0,0) nous at the point (0, 0) or not. If not, determine whether the disc removable or essential.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
![Determine whether the function
xy²/³ + xy
x⁹ + 2y³¹
h(x, y)
if (x, y) = (0,0)
if (x, y) = (0,0)
√3
is continuous at the point (0,0) or not. If not, determine whether the discon-
tinuity is removable or essential.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26b083ba-b613-42c0-9c15-a33cea79c4f0%2Ff50ef0ef-921a-4d62-9c1f-4d704a563ddc%2Fe9rw8cr_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the function
xy²/³ + xy
x⁹ + 2y³¹
h(x, y)
if (x, y) = (0,0)
if (x, y) = (0,0)
√3
is continuous at the point (0,0) or not. If not, determine whether the discon-
tinuity is removable or essential.
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