Question a) b Let f(x, y) = x³-4xy² x²-2y Find the first partial derivatives of f. Determine whether the limit lim f(x, y) exists or not. (x,y)-(-2,2) Determine whether the function g(x, y) = { f(x, y), (x, y) ‡ (0,0) -1, (x, y) = (0,0) (0,0). is continuous at the points (-2, 2) and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a)
b)
x³-4xy²
x²-2y
Let f(x, y) =
Find the first partial derivatives of f.
Determine whether the limit lim f(x, y) exists or not.
(x,y)-(-2,2)
Determine whether the function
g(x, y) = { f(x, y), (x, y) # (0,0)
-1, (x, y) = (0,0)
(0,0).
is continuous at the points (-2, 2) and
Transcribed Image Text:Question a) b) x³-4xy² x²-2y Let f(x, y) = Find the first partial derivatives of f. Determine whether the limit lim f(x, y) exists or not. (x,y)-(-2,2) Determine whether the function g(x, y) = { f(x, y), (x, y) # (0,0) -1, (x, y) = (0,0) (0,0). is continuous at the points (-2, 2) and
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