Let f(x, y) = x/(y − 1)^2 . a. Describe the domain of f. b. Sketch the level curves of f corresponding to the values −1, 0 and 1. Explain how you know what the level curves look like. c. Show that the limit lim (x,y)→(0,1) f(x, y) does not exist.
Let f(x, y) = x/(y − 1)^2 . a. Describe the domain of f. b. Sketch the level curves of f corresponding to the values −1, 0 and 1. Explain how you know what the level curves look like. c. Show that the limit lim (x,y)→(0,1) f(x, y) 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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Let f(x, y) = x/(y − 1)^2 .
a. Describe the domain of f.
b. Sketch the level curves of f corresponding to the values −1, 0 and 1. Explain how you know what the level curves look like.
c. Show that the limit lim (x,y)→(0,1) f(x, y) does not exist.
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