Question 3 (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4 (b) Evaluate the limit 4xy lim (x,y) → (0,0) x²-3y² along the y-axis and along the line y = x. Does the limit exist?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Question 3
(a) Find and sketch the domain of the function
f(x,y)=√x-1+√y-4
(b) Evaluate the limit
4xy
lim
(x,y) → (0,0) x²-3y²
along the y-axis and along the line y = x. Does
the limit exist?
Transcribed Image Text:Question 3 (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4 (b) Evaluate the limit 4xy lim (x,y) → (0,0) x²-3y² along the y-axis and along the line y = x. Does the limit exist?
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