- Let f(x, y) = √x² - y² y-1 1. Evaluate f(5,3). 2. Sketch the domain of f on the xy-plane. Show that x³ y lim (x,y) →(0,0) x6 + 2y² does not exist.
- Let f(x, y) = √x² - y² y-1 1. Evaluate f(5,3). 2. Sketch the domain of f on the xy-plane. Show that x³ y lim (x,y) →(0,0) x6 + 2y² does not exist.
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:I. Let f(x, y)
=
x² - y²
y-1
1. Evaluate f(5, 3).
2. Sketch the domain of f on the xy-plane.
x ³ y
(x,y) →(0,0) x6 + 2y²
II. Show that lim
does not exist.
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