Compare the level curves for the three functions f(x, y) = x - y², g(x, y) = (x − y²)², and h(x, y) = (x − y²)³. Draw some sketches in the plane. What is the equation of the level curve of f that corresponds to the point x = 2, y = 1?
Compare the level curves for the three functions f(x, y) = x - y², g(x, y) = (x − y²)², and h(x, y) = (x − y²)³. Draw some sketches in the plane. What is the equation of the level curve of f that corresponds to the point x = 2, y = 1?
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:5. Compare the level curves for the three functions
f(x, y) = x - y²,
g(x, y) = (x − y²)², and
-
h(x, y) = (x - y²)³.
Draw some sketches in the plane. What is the equation of the level curve of f that corresponds
to the point x = 2, y = 1?
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