7x² √x² +9y² f(x, y) "={₁x , (x, y) = (0,0) , (x, y) = (0,0)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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42. Determine if the function is continuous at (0,0). Include the definition of continuity.
7x²
, (x, y) = (0,0)
, (x, y) = (0,0)
{
f(x, y) =
√x² +9y²
= {
g(x, y) =
2x²y
x4 + 2y²
0
, (x, y) = (0,0)
, (x, y) = (0,0)
Transcribed Image Text:42. Determine if the function is continuous at (0,0). Include the definition of continuity. 7x² , (x, y) = (0,0) , (x, y) = (0,0) { f(x, y) = √x² +9y² = { g(x, y) = 2x²y x4 + 2y² 0 , (x, y) = (0,0) , (x, y) = (0,0)
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