Question a) b) Let f(x, y) lim (x,y) →(2,-2) = I5-4xy² ²+2y Find the first partial derivatives of f. Determine whether the limit f(x, y) exists or not.
Question a) b) Let f(x, y) lim (x,y) →(2,-2) = I5-4xy² ²+2y Find the first partial derivatives of f. Determine whether the limit f(x, y) exists or not.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question
a){
b)
Let f(x, y)
=
-
T5-4xy²
x²+2y
Find the first partial derivatives of f.
Determine whether the limit
f(x, y) exists or not.
lim
(x,y) →(2,-2)
c)
Determine whether the function
g(x,y) = { f(x,y), (x,y) = (0,0)
is
(x, y) = (0,0)
continuous at the points (2,-2) and (0,0).
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