Question a) b) Let f(x, y) x²+2y Find the first partial derivatives of f. Determine whether the limit lim f(x, y) exists or not. (x,y) →(2,-2) c) Determine whether the function [ f(x, y), (x, y) = (0,0) is g(x, y) = {1, (x,y) = (0,0) {F(x, −1, continuous at the points (2,-2) and (0,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 17E
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a)
b)
Let f(x, y)
Find the first partial derivatives of f.
Determine whether the limit
(x,y) →(2,-2)
lim f(x, y) exists or not.
x5-4xy²
= x²+2y
c)
g(x, y) = {
Determine whether the function
f(x,y), (x,y) = (0,0)
-1, (x, y)
(0,0)
continuous at the points (2,-2) and (0,0).
-
is
Transcribed Image Text:Question a) b) Let f(x, y) Find the first partial derivatives of f. Determine whether the limit (x,y) →(2,-2) lim f(x, y) exists or not. x5-4xy² = x²+2y c) g(x, y) = { Determine whether the function f(x,y), (x,y) = (0,0) -1, (x, y) (0,0) continuous at the points (2,-2) and (0,0). - is
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