1. (a) (b) Find and sketch the domain of the function f(x, y) = = Show that x²y² lim (x,y) →(0,0) x²y² + (x − y)² does not exist. √x √4x² - y²

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1.
(a)
(b)
Find and sketch the domain of the function f(x, y) =
=
x²y²
(x,y) (0,0) x²y² + (x - y)²
Show that lim
does not exist.
√4x² - y²
Transcribed Image Text:1. (a) (b) Find and sketch the domain of the function f(x, y) = = x²y² (x,y) (0,0) x²y² + (x - y)² Show that lim does not exist. √4x² - y²
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